At this rate, how far can she walk in 1 hour?

The **distance **traveled by Raven in **1 hour **at the given **rate** is **4 miles.**

**What are arithmetic operations?**

**Arithmetic operations **is a branch of mathematics that studies **numbers **and the **operations **on numbers that are useful in all other branches of mathematics. It consists primarily of operations like **addition**, **subtraction**, **multiplication**, and **division**.

We have,

Raven can walk 2 (2/5) miles in 3/5 hours.

so,

2 (2/5) = 0.6 hours.

12/5 = 0.6 hours.

2.4 = 0.6 hours.

then,

if 2.4 = 0.6 hour

for x = 1 hour

By cross multiplying:

x = 2.4/0.6 miles

= 4 miles

Hence, the **distance **traveled by Raven in **1 hour **at the given **rate** is **4 miles.**

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Hi. May i please have help with these problems? Who wrote the book 'Terrible Weather"?" Ag Perez Solve for x. The answer to each problem will match a letter that will allow you to figure out the joke. B. 4 1. 5x - 7 = 4x +3 Y. No Solution X= to N. 10 2. 6 + 2x = 7x - 9 ... X = - 3 1. - 11 3. 8x + 1 = - 8 - x S. -2 X=1 4. -5+ 12x = 18x + 7 P. 3 X=-2 V . -7 5. -4x + 3 = 5x - 13 - x E. 1 6. -10 - 11x + 24 = 3x W. 5 F. - 6 7. 8 + 3x = x + 11 + 2x 0. 3 No sofmar 8. 5 +'17x +9 = 2x + 21x + 14 A. 1 R. 2 9. 6x + 8 - 13x + 10 = 4 - 6x - 11 + 4x W. 8 10. -14 + 5 - X - 3 =x+6+x+3x Y. -13 D. O AYN 9 3 7 1 6 S 8 5 2 10 4 e #20 Solving Equations: Variables on Both Sides and Collecting L

The **Answers **to the **Equation **is shown below.

**Equations** are mathematical statements with **two algebraic **expressions flanking the **equals** (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

**Coefficients**, **variables**, **operators**, constants, terms, expressions, and the equal to sign are some of the **components** of an **equation**. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

1. 5x - 7 = 4x +3

5x- 4x = 3 + 7

x= 10

2. 6 + 2x = 7x - 9

7x- 2x = 6+9

5x = 15

x= 3

3. 8x + 1 = - 8 - x

9x = -9

x= -1

4. -5+ 12x = 18x + 7

6x = -12

x= -2.

5. -4x+ 3= 5x- 13 -x

-8x = -16

x= 2

6. -10 - 11x + 24 = 3x

14x = 14

x=1

7. 8 + 3x = x + 11 + 2x

No Solution

8. 5 +17x +9 = 2x + 21x + 14

6x= 0

x=0

9. 6x + 8 - 13x + 10 = 4 - 6x - 11 + 4x

-5x= 25

x= -5

10. -14 + 5 - x - 3 =x+6+3x + x

4x= -14

x= -3.5

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How do you find volume with base and area?

We constantly gauge a **prism's** height perpendicular to the plane of its base. That holds true even when a prism is tilted or turned on its side.

**Volume** of a prism is equal to base area into height.

A prism's total **surface area** is equal to the sum of its **two bases**' surfaces and **lateral** surface area.

Without bases, the prism's faces are **parallelograms** or rectangles. And any n-sided polygon, whether a triangle, square, rectangle, or other, might serve as the prism's basis.

Dimensions of a prism. the separation between a prism's two bases. The technically smallest line segment between the bases . The term "**altitude**" also relates to how long this part is.

Any prism's volume is equal to **V = BH**, where B is its base's area and H is its height.

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Can anyone help me find this answer fast.

**Answer:**

8cm

**Step-by-step explanation:**

We can figure out what the side length of this would be by squaring the area.

[tex]\sqrt{64}[/tex]* = 8*

To check our work, we can multiply the length by the height. *(8 and 8)*

*8 × 8 = 64*

**Nado's chessboard side length would be 8cm.**

How do you know if FX and GX are inverses?

First make the graph of the functions, then if the two** graphs** are symmetric with respect to the line y = x (mirror images over y = x ), then they are **inverse functions.**

**Symmetric**

A figure or shape that can be divided into two equal parts by a line is called symmetric figures.

Inverse Functions

The inverse **function** of a function f is a function that undoes the operation of f. The **inverse** of f exists if and only if f is bijective, and if it exists, is denoted by F^-1.

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Denominations matter in digital money true or false

Answer would be true, since it does matter

What would the ratio be if you partition a line segment at point?

The ratio would be the line point when you go down two over two on the line segment points

Use the order of operations to order the steps to evaluate the expression (60+15)/3-2(4)+2^3

**Answer:**

25

**Step-by-step explanation:**

(60+15)/3-2(4)+2^3

75/3 -2 x4 + 2^3

75/3 - 8 +2^3

75/3 - 8 +8

75/3

25

THIS IS THE QUESTION I NEEED ANWSERED ASAP

For the shaded region given in the **diagram **the **area **is obtained as 50.2 cm². The correct option is (A).

A **circle **is a geometric shape, all of which points are **equidistant **from a fixed point called as the center.The center of the circle does not lie on it. The angle subtended by the semicircle on its any point is always a right angle.

The **diameters **of the external and internal circle are 10 cm and 6 cm.

Then, the **radius **are given as 10/2 = 5 cm and 6/2 = 3 cm

Now, area of the shaded region is given as follows,

Area of external circle** **- Area of internal circle

= π × 5² - π × 3²

= 16π

= 50.2

Hence, the area of the **shaded region** is given as 50.2 cm².

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What is the first step in solving a polynomial inequality?

The **first step** in solving a **polynomial inequality** is to determine the type of inequality that you are dealing with. There are two types of polynomial inequalities: strict inequalities and non-strict inequalities.

**Strict inequalities** are inequalities that are either less than or greater than a value, but not equal to it. For example, the inequality x < 4 is a strict inequality because it means that x is strictly less than 4 (i.e., it is less than 4 but not equal to 4).

**Non-strict inequalities** are inequalities that are either less than or equal to, or greater than or equal to a value. For example, the inequality x <= 4 is a non-strict inequality because it means that x is less than or equal to 4 (i.e., it is either less than 4 or equal to 4).

Once you have determined the type of **inequality **that you are dealing with, you can proceed to the next step, which is to solve the inequality by isolating the variable and performing the necessary operations to find the solution.

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Determine whether the statement is true or false:

4 sin x cos x dx = -cos 2x + C

**Answer:**

False

**Step-by-step explanation:**

[tex]2\sin x \cos x =\sin 2x \implies 4 \sin x \cos x=2\sin 2x \\ \\ \therefore \int 4\sin x \cos x dx=2\int \sin 2x dx \\ \\ 2\int \sin 2x dx=\frac{2}{2}(-\cos 2x)+C=-\cos 2x+C[/tex]

the dat set for a random sample of 10 baseball players heights compared to their show sizes is summarized in the table. PLEASE!!!!!! HELP!!!!

**Answer: **a)** **The** equation** of the **least-squares regression** line is **y** = -1.66x + 78.83. b) **Residual **= 7.11 inches. c) The **residual** is the** deviation** of a data point from the **fitted regression **line. In this case, the **residual** is 7.11 inches, indicating that the player who wears a size 9 and is 71 inches tall is taller than what would be expected based on the trend in the **data**.

**Step-by-step explanation:**

**What is the least square regression and residual?**

**Least squares regression** is a** statistical **method that is used to find the line of best fit for a set of** data **points.** **It involves finding the line that minimizes the sum of the squares of the differences between the **actual data **points and the** predicted** values on the line. The **residual **is the difference between the** actual **data point and the** predicted **value on the line.

**Part A:** The **equation** for the** least-squares regression** line can be found by using the following formula: **y = bx + a**

To find the values for **a** and **b**, we need to calculate the following values:

x: the mean of the shoe sizes,

y: the mean of the heights.

S x y: the sum of the products of the differences between the shoe sizes and **x **and the differences between the heights and **y**.

S x x: the sum of the squares of the differences between the shoe sizes and** x**.

X = (7+10+12+8+9.5+10+11.5+12.5+13.5+10) / 10 = 10.5

Y = (64+69+72+67+69+70+75+73+71+68) / 10 = 69.4

To find S x y and S x x, we use:

S x y = ∑(x - x)(y - y)

S x x = ∑(x - x)^2

Inserting the values from the table, we get:

S x y =-47.5

S x x = 28.5

Using values, we can calculate the** slope** and **y-intercept** of the **least-squares regression** line:

b = S x y / S x x = -47.5 / 28.5 = -1.66

a = y - bx = 69.4 - (-1.66)(10.5) = 78.83

So the equation of **the least-squares regression** line is **y** = -1.66x + 78.83

**Part B:** We can use the **equation** for the **least-squares regression** line to determine the **residual **for a player who wears a size 9 and is 71 inches tall. We calculate the player's height using the size 9 into the equation:

y=-1.66x+78.83=63.89 inches.

The **residual** is then calculated by deducting the **expected** height from the** actual** height: 7.11 inches =71- 63.89 inches.

**Part C:** The **residual** is the **variation** between the **dependent** variable's **actual** value (height) and its anticipated value according to the **least-squares regression** line. The athlete in this instance, who wears a size 9 and is 71 inches tall, is taller than what might be anticipated based on the trend in the data, according to the residual of 7.11 inches.

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The **equation **of the least-squares regression line is y = -1.66x + 78.83. b) Residual = 7.11 inches.

**What is the least square regression and residual?****Least squares** regression is a statistical method that is used to find the line of best fit for a set of data points. It involves finding the line that minimizes the sum of the **squares **of the differences between the actual data points and the predicted values on the line. The **residual **is the difference between the actual data point and the predicted value on the line.

Part A: The **equation** for the least-squares regression line can be found by using the following formula: y = bx + a

To find the values for a and b, we need to calculate the following values:

x: the mean of the shoe sizes,

y: the mean of the heights.

S x y: the sum of the **products **of the differences between the shoe sizes and x and the differences between the heights and y.

S x x: the sum of the squares of the differences between the shoe sizes and x.

X = (7+10+12+8+9.5+10+11.5+12.5+13.5+10) / 10 = 10.5

Y = (64+69+72+67+69+70+75+73+71+68) / 10 = 69.4

To find S x y and S x x, we use:

S x y = ∑(x - x)(y - y)

S x x = ∑(x - x)^2

Inserting the values from the table, we get:

S x y =-47.5

S x x = 28.5

Using values, we can calculate the slope and **y-intercept** of the least-squares regression line:

b = S x y / S x x = -47.5 / 28.5 = -1.66

a = y - bx = 69.4 - (-1.66)(10.5) = 78.83

So the equation of the **least-squares** regression line is y = -1.66x + 78.83

Part B: We can use the equation for the least-squares regression line to determine the residual for a player who wears a size 9 and is 71 inches tall. We calculate the player's height using the size 9 into the **equation**:

y=-1.66x+78.83=63.89 inches.

The residual is then calculated by **deducting** the expected height from the actual height: 7.11 inches =71- 63.89 inches.

Part C: The residual is the **variation **between the dependent variable's actual value (height) and its anticipated value according to the least-squares regression line. The athlete in this instance, who wears a size 9 and is 71 inches tall, is taller than what might be **anticipated** based on the trend in the data, according to the residual of 7.11 inches.

c) The residual is the deviation of a data point from the **fitted regression** line. In this case, the **residual **is 7.11 inches, indicating that the player who wears a size 9 and is 71 inches tall is taller than what would be expected based on the trend in the **data**.

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How do you prove a shape is symmetrical?

By drawing a mirror line across the center of a shape and examining if both halves are the same, you may determine whether it is **symmetrical**.

When anything has two identical parts, it is symmetrical. In other terms, symmetry is the presence of identical pieces facing one another or revolving around an **axis**.

But what attributes give a shape symmetry? A symmetrical shape has an identical side on the side, also known as symmetry. When mirrored, rotated, or translated, symmetrical shapes retain their original appearance. The four main subcategories of symmetry are **translation**, rotation, reflection, and glide reflection. However, the primary type of symmetry in mathematics taught in schools is reflectional symmetry, commonly referred to as mirror symmetry or line symmetry.

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4. The temperature is 36 °F. The temperature decreases for 4 hrs. Each hour, the temperature

decreases by 2 °F. Then the temperature rises 10 °F in one hour what is the temperature after 5

hours? (2 points)

a.) 26°F

b.) 38°F

c.) 50°F

d.) 62°F

Show your work:

38 °F is the **temperature **after 5 hours of time.

Two or more expressions with an **Equal sign** is called as Equation.

Given that the temperature is 36 °F.

The temperature **decreases **for 4 hrs

Each hour, the temperature decreases by 2 °F.

1 hour= 2 °F.

For 4 **hours **it will be 4(2)=8 °F.

So the temperature after 4 hours is 36-8=28 °F.

the temperature **rises **10 °F in one hour

28 °F+10°F=38 °F

Hence, the **temperature **after 5 hours is 38 °F.

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Estimate the height of the tree 50 years after it was planted. How did you

make your prediction?

Estimate the** height** of the tree 50 years after it was planted is 15.92 feet

DBH (inches) × π = Estimated Age of Tree (years)

Let us Consider inches is X

X *3.14=50

X=50/3.14

X=15.92

sheet of paper :There is no need for math or other instruments!Shadows: Needs a tape measure, a level surface, discernible shadows, and simple mathematics.Pencil: A quick, rough estimate made with a pal and a pencil.The most precise tools are the clinometer or instruments. You can create your ownTo learn more about **to find height of the tree** refer to:

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The polynomial p(x)=x^3-7x-6p(x)=x

3

−7x−6p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 7, x, minus, 6 has a known factor of (x+1)(x+1)left parenthesis, x, plus, 1, right parenthesis.

Rewrite p(x)p(x)p, left parenthesis, x, right parenthesis as a product of linear factors.

p(x)=p(x)=

The **polynomial **p(x) is x³ - 7x - 6 that is (x+1) (x+2)(x - 3)

An **expression **that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

Given that polynomial:

p(x) = x³ - 7x - 6

Known factor: (x+1)

polynomial equation expressed as the sum of linear components.

The degree of polynomial is 3, and when we divide it by a linear equation, the result will be a quadratic. That quadratic will have 2 solutions.

We can solve the quadratic in two linear factors and as a result we will have the answer.

First of all, we need to divide the polynomial p(x)with the given factor (x+1) to find the other factors.

x³ - 7x - 6/x+1 = x² - x -6

Solving the quadratic:

x²- x - 6 = x² -3x +2x - 6

x(x-3)+2(x-3)

(x+2)(x-3)

Therefore the **polynomial **will be p(x) = x³ - 7x - 6 = (x+1) (x+2)(x - 3)

The complete question is : The polynomial p ( x ) = x 3 − 7 x − 6 p(x)=x 3 −7x−6p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 7, x, minus, 6 has a known factor of ( x + 1 ) (x+1)left parenthesis, x, plus, 1, right parenthesis. Rewrite p ( x ) p(x)p, left parenthesis, x, right parenthesis as a product of linear factors. p ( x ) = p(x)=p, left parenthesis, x, right parenthesis, equals

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What is slope in graph example?

The level of a line's **slope** indicates its steepness.

The slope is computed mathematically as "rise over run" (change in y divided by change in x).

In accordance with the slope equation, the slope of such a line may be determined by dividing the rise of the line between two positions by the run of the same line between the same two sites.

That is to say,

Determine the coordinates of two locations along the line that one choose.Evaluate the differences in these two positions'Example -

This line goes through the points (0,0) and (4,4).

Now, slope = (y₂ - y₁) / (x₂ - x₁)

slope = (4 - 0) / (4 - 0)

slope = 4 / 4

slope = 1

So, from the above calculation it is shown that, the slope of the line is 1.

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Enter the surface area of the net of the triangular prism in the space provided, in centimeters squared.

The surface area of the net of the **triangular **prism in the space provided,

2400cm².

What is prism?**Prism **is a polyhedron with two identical ends in three dimensions.

Surface **area **= (Perimeter of the base × Length of the prism) + (2 × Base Area)

= (S₁ + S₂+ S₃)l + bh

where, b is the bottom edge of the base **triangle**, h is the height of the base triangle, l is the length of the **prism **and S₁, S₂, and S₃ are the three edges (sides) of the base triangle (bh) is the combined area of the two **triangular **faces [2 × (1/2 × bh)] = bh.

The side of the triangle is S₁ = 8, S₂= 15, and S₃= 17.

The **rectangular's **base = 20 and height = 8

Substituting all the values in the formula:

**Surface **area

= (**Perimeter **of the base × Length of the prism) + (2 × Base Area)

= [ ( 15 +17+8) x 20] + (20 x 80)

= 800 + 1600

= 2400 cm²

Therefore, the **surface **area of the prism is 2400 cm².

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Prove the following statement using the given pieces of information.

Given: Line AB is parellel to Line DC and Line AD is parellel to Line BC.

Prove: Triangle ABC is congrent to Triangle CDA.

Triangle ABC is **congruent** to Triangle CDA using the **SSS** rule.

It is a two-dimensional figure which has three **sides** and the **sum** of the three **angles** is equal to 180 degrees.

We have,

**SSS** **rule** states that,

If the three **sides** of one **triangle** are equal to the three sides of another triangle, then the triangles are **congruent**.

To prove:

ΔABC ≅ ΔCDA.

AB = DC ( given)

AD = BC (given)

AC = AC (**common** to both the triangles)

ΔABC ≅ ΔCDA ( By **SSS** **rule** )

Thus,

ΔABC ≅ ΔCDA by **SSS** **rule**.

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What are the roots of the quadratic equation âˆš 2x 2 7x 5 âˆš 2 0?

x=-5/√2 and x=-√2 are **roots **of the quadratic equation √2x²+7x+5√2=0

A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .

The given quadratic **equation** is √2x²+7x+5√2=0

We will **factorize** the middle term by middle term method

√2x²+2x+5x+5√2=0

√2x(x+√2)+5(x+√2)=0

(√2x+5)(x+√2)=0

√2x+5=0

√2x=-5

**Divide** both sides by √2

x=-5/√2

and x+√2=0

x=-√2

Hence, x=-5/√2 and x=-√2 are **roots **of the quadratic equation √2x²+7x+5√2=0

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What is the range of f/x )= A x?

On observing the provided question we can say that - the function f(x) = [tex]a^x[/tex] is **Domain:** (−∞,∞) or all real numbers

**Range:** the discrepancy between the top and bottom numbers. To get the range, locate the greatest observed value of the variable and deduct the least observed value (the minimum). The **data points **between the two extremes of the distribution are not taken into consideration by the range; just these two values are considered. Between the lowest and greatest numbers, there is a range. Values at the extremes make up the range. The data set 4, 6, 10, 15, 18, for instance, has a range of 18-4 = 14, a maximum of 18, a minimum of 4, and a minimum of 4.

The answer to the question is that all real numbers or (−∞,∞)

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How many terms are there in the expression 2y +10x+ 5 *?

3 terms. terms are separated by + or -

Find the area of the segment enclosed by

chord [BC] and the subtended arc with

radius 4 cm and central angle 55⁰.

The** area of segment** enclosed by chord [BC] is 0.94 [tex]cm^{2}[/tex]

Segment and area of a circle segment:

A segment is essentially the area of a circle between the chord and the arc. A circle is a path that a point equidistant from a single point on the plane can follow; this point is known as the **circle's center,** and the distance between it and that point is known as the **circle's radius.** A segment is a section of a circle's interior. A sector is the region that a segment encloses and the angle that a segment occupies. By deducting the triangle formed inside the sector from the sector where the segment is located, one can calculate the area of a **circular segment**.

Given radius and angle subtended by arc on circle is 4 cm and 55° respectively.

So the length of chord [BC] is [tex]\frac{55}{180}[/tex]×π = 3.84 cm.

Required area of segment enclosed = Area of segment subtended by arc [BC] - area of ΔABC

>semi-perimeter of ΔABC is [tex]\frac{(4+4+3.84)}{2} = 5.92[/tex]

>Area of ΔABC is [tex]\sqrt{5.92*(5.92-4)*(5.92-4)*(5.92-3.84)} = 6.74 cm^{2}[/tex]

>Area of segment subtended by **arc** {BC} = θ/360° × π[tex]r^{2}[/tex]

=[tex]\frac{55}{180}[/tex]×16π

= 7.68[tex]cm^{2}[/tex]

∴The area of segment enclosed by chord [BC] is [tex]7.68-6.74 = 0.94 cm^{2}[/tex]

The** area of segment** enclosed by chord [BC] is 0.94 [tex]cm^{2}[/tex]

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a pole that is 3.2m tall casts a shadow that is 1.48m long. at the same time, a nearby building casts a shadow that is 42.25m long. how tall is the building? round your answer to the nearest meter.

To round to the **nearest meter**, use the units place and round to the nearest whole number. At the moment, we have a two in place of a one.

It is two divisions or two tenths of a mile short of the halfway point. Therefore, **seven centimeters** are the closest centimeters.

To figure out how to round, we look to the right, at the unit in the tens place.

Let x represent the unknown, which is the **building's height**.

level of post = level of the structure

level of the **shadow level** of the shadow

3.3 m = x

1.78 m 49. 75 m Find the solution for x: (3.3 m) (49.75 m) = x 1.78 m = x The building is 92 meters high, rounded to the nearest meter.

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A wood stove burns 24 same sized logs in 5 hours. How many can I burn in 8 hours?

**Answer: 38**

**Step-by-step explanation:**

24 divided by 5 = 4.8 per hour

4.8 times 8 = 38.4 or 38 in 8 hours

It can burn 38 in 8 hours

What is called discontinuity?

A **discontinuity** in mathematics is when a **function **is not well defined

As earlier defined, discontinuity deals with a function that is not well defined.

Different **functions** have different **discontinuity** depending on the function

Good examples of discontinuity include

y=1/x this is a discontinuous function.

x=0 is also a **discontinuous** function as it is not well defined. because there is no value for y

The function** TanA** is a discontinuous function because it is not well defined.

Other discontinuities include

y=5п/3, 9п/4, 6п8, 4п/3

All these are **discontinuous** functions

In conclusion, a **discontinuity** in mathematics is when a **function **is not well defined

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Why is f called a linear function?

For a given** function f,** it is **linear **if the **function** has a** constant slope **and it **doesnot contain **the** power** of x **greater than** 1.

An **association** between each element of a non-empty set A and at least one element of a different non-empty set B is called a function. The core concept of **mathematics' **calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a **distinct result **for each input x.

A **function** which is also linear, represents a straight line in the graph. The graphs to the linear functions are **straight lines** which have constant slope throughout the **graph.**

A **function f** is referred to as linear if it meets both of the following criteria:

The **slope of the function i**s constant. This indicates that the** slope **of the line is constant, independent of the value of x that you enter into the **function.**

There are **no powers **of x bigger than 1 in the function. This indicates that there are no terms in the** function** that have x2, x3, etc.

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Amelie is shopping for children’s books and puzzle books. she wants to purchase at least 2 more children’s books than puzzle books, but she can afford no more than 15 items total. if x represents the number of children’s books and y represents the number of puzzle books amelie purchases, which point lies in the solution set?

a. (4,12)

b. (6,8)

c. (12,4)

d. (9,5)

The **point **lies in the solution set if x represents the number of children's books and y represents the number of **puzzle books** Amelie buys (9,5).

To find the point that lies in the solution set, you need to consider the **constraints **given in the **problem**. Amelie wants to purchase at least 2 more children's books than puzzle books, which means that the number of children's books should be greater than or equal to the number of puzzle books plus 2. She can afford no more than 15 items total, which means that the total number of children's books and puzzle books should be less than or equal to 15.

Based on these constraints, the **point **that lies in the solution set is (9,5). This point satisfies both constraints, because the number of children's books (9) is greater than the number of puzzle books (5) plus 2, and the total number of children's books and **puzzle books** (14) is less than or equal to 15. Therefore, the correct answer is (d) (9,5).

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What is HCF and LCM formula?

The **HCF **and **LCM **are Highest common factor and Least common multiple respectively

**What is HCF and LCM?**

The Greatest Common Divisor GCF or the Highest Common Factor **HCF **is the highest number that divides exactly into two or more numbers. It is also expressed as GCF or **HCF**

Least Common Multiple (**LCM**) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers

Product of **HCF **x **LCM **= product of two numbers

Given data ,

Let the two numbers be A and B

The value of A is A = 160

The value of B = 252

**HCF **is the product of common prime factors

So , Prime Factorization of 160: 2 x 2 x 2 x 2 x 2 x 5

And , Prime Factorization of 252: 2 x 2 x 3 x 3 x 7

So , **HCF **= 2 x 2 = 4

Now, finding **LCM **of 160 and 252

**LCM **is the product of all factors of both numbers

Prime Factorization of 160: 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 252: 2 x 2 x 3 x 3 x 7

**LCM**= 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7

**LCM**= 10080

Now , the product of **HCF **x **LCM **= product of two numbers

160 x 252 = 40320

4 x 10080 = 40320

Hence , the **HCF **and **LCM **are solved

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Hi! I really need help with this problem

Answer is 70, as the line begins from that point of the graph.

The answer is 70 to this problem u have

How do you factor xÂ³?

**Factoring** x³ is a relatively straightforward process.

Factory is a quantity or an expression that is multiplied to another quantity or expression to obtain a product. Factor are used in mathematics to solve problems involving multiplication division and **equation** factor can also be used in financial analysis to calculate interest, payments loan repayments, and another financial transaction factor can also be used to analyze supply and demand market trends and other economic indicators.

The most common way to factor x³ is to use the factorization method. This involves writing x³ as a product of three linear factors, which can be done in the following way:

x³ = x × x × x

Alternatively, you can use the method of grouping to factor x³. This involves writing x³ as a product of two **binomials**, which can be done in the following way:

x³ = (x × x) × x

You can also use the method of synthetic division to factor x³. This involves dividing the coefficient of x³ by the coefficient of x and then dividing the resulting coefficients by the coefficient of x. This can be done in the following way:

x³ = x² + 0 × x + 0

Once you have factored x³, you can use the factors to solve equations or to find other information related to the equation. In addition, you can use the factored form of x³ to simplify certain expressions.

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