**Answer:**

the red one is the pre image because if there is two of the same letters then there is a dash behind the second letter.

**Step-by-step explanation:**

PLEASE GIVE BRAINLIEST!!!!

What is the characteristic of the leading coefficient?

Since the leading coefficient can be any **real** number, The characteristic of the leading coefficient are the characteristic of a real number.

Sums of terms with the form kxⁿ, where K is any number and N is a positive **integer**, are known as polynomials.

The term with the greatest x power is the leading term in a polynomial function. The leading coefficient is the coefficient of the leading phrase.

The characteristics of the leading coefficient are:

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a ferry will safely accommodate 66 tons of passenger cars. assume that the mean weight of a passenger car is 1.7 tons with standard deviation 0.5 tons. if a random sample of 36 cars are loaded onto the ferry, what is the probability that the maximum safe weight will be exceeded? hint! think about the average safe weight g

There is a 4.5% (or 0.045) **probability **that the maximum safe weight will be surpassed.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur.

Probability and odds are two distinct ideas.

Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

So, we know that;

Average u = 1.8 tons

r = 0.5 for the **standard deviation**

n = 35 data points

68 tons or more would be the combined weight of the 35 automobiles. Each car's average weight should be greater than:

X = 68/35 = 1.943

After that, we can utilize that to calculate the z value.

Z = (X - u)/(r/√n)

Z = (1.943 - 1.8)/(0.5/√35)

Z = 1.692

We must determine the p-value at Z > 1.692 in order to evaluate the likelihood:

P(Z > 1.692) = 0.0453

Therefore, there is a 4.5% (or 0.045) probability that the maximum safe weight will be surpassed.

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A rectangular lawn has an area of 126 square meters. Surrounding the entire lawn is a flower border that is 4 meters wide. The area of the flower border alone (not including the lawn) is 264 square meters. A sprinkler is installed in the middle of the lawn that sprays water in a circle. Rounded to the nearest 10th of a meter, what is the minimum spraying radius necessary in order for the sprinkler to water both the lawn AND the entire flower border?

[10 points]

**Answer:**

To solve this problem, we can first use the area of the flower border to calculate the perimeter of the flower border. Since the flower border is 4 meters wide and has an area of 264 square meters, we know that it has a perimeter of 264 / 4 = 66 meters.

Next, we can use the perimeter of the flower border to calculate the dimensions of the lawn. Since the total perimeter of the lawn and flower border is 66 meters and the width of the flower border is 4 meters, we know that the length and width of the lawn must be 31 meters and 5 meters, respectively.

Finally, we can use the dimensions of the lawn to calculate the radius of the sprinkler. Since the lawn is a rectangle with a length of 31 meters and a width of 5 meters, we know that the center of the lawn is located 15.5 meters from each of the longer sides and 2.5 meters from each of the shorter sides. Therefore, the minimum radius of the sprinkler must be 15.5 meters in order to reach the entire flower border.

Rounded to the nearest tenth of a meter, the minimum spraying radius necessary is 15.5 meters.

(b) If X = {2,3,5) and R is a relation on X where "a R b" means "a = b" for each a EX ,b Ex 1 Write R and represent it by an arrow diagram. 2 Show that R is a function, then find its range. m

The** arrow diagram** is

2 3 5

| | |

v v v

2 3 5

To prove that R is a **function**, we must show that "a R b" exists for each element an in X. R is a function since the only element b in X that fulfills the relation is a.

The range of R is X = {2, 3, 5}.

What is the range?Generally, The **relation **R on X is defined as "a R b" if and only if "a = b" for all a,b in X. This means that for any element a in X, the only element b in X that satisfies the relation is a itself. We can represent this relation using an arrow diagram as follows:

2 3 5

| | |

v v v

2 3 5

To show that R is a **function**, we need to demonstrate that for each element a in X, there is exactly one element b in X such that "a R b". In this case, we have already shown that the only element b in X that satisfies the relation is a itself, so R is a **function.**

The range of the **function **R is the set of all possible values of b for which "a R b" is true. In this case, the range of R is the set X itself, because for any **element **a in X, the only element b in X that satisfies the relation is a itself. Therefore, the range of R is X = {2, 3, 5}.

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HELP!!!!

Drag numbers to complete the table for missing values of x, x2, and x3

Here, the **value** of x = 20, x² = 400 and x³ = 8000.

What is **Factorization **?

The breaking or breakdown of one entity into a **product **of another entity, or factors, which when multiplied together yield the original **number**, is known as factorization or factoring in mathematics.

We've x³ = 8000 ...............equation 1

we can **factor **it as follows :

8000 = 2×2×2×10×10×10

8000 = 2³ × 10³

8000 = 20³ .............................equation 2

Now, By comparing **equation** 1 and 2,

We get, x = 20.

So, x² = 20 × 20 = 400.

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5x - 4y = -12 I really need help please

**Answer:**

To solve the equation 5x - 4y = -12, we can first get all of the terms containing x on one side of the equation and all of the terms containing y on the other side. To do this, we need to add 4y to both sides of the equation. This gives us 5x = -12 + 4y. Then, we can divide both sides of the equation by 5 to get x = (-12 + 4y)/5. This is the value of x that makes the equation true.

**Step-by-step explanation:**

**Answer: I= 3÷y-5x÷12**

**solve for y**

** Step-by-step explanation: 5x−4y=−12I**

**Swap sides so that all variable terms are on the left-hand side.**

**−12I=5x−4y**

**Divide both sides by −12.**

-12I/-12= 5x−4y/-12

Dividing by −12 undoes the multiplication by −12.

I=-12I/-12= 5x−4y/-12

Divide 5x−4y by −12

I=**3÷y-5x÷12 **

We have 10 gallons of gas in the

car. We use 1 gallons each hour.

How many hours of gas do we

have?

**Answer: 10 hours**

**Step-by-step explanation:**

If you are using 1 gallon of gas per hour and have 10 gallons of gas you subtract 1 gallon for every hour you use the car.

The diagram shows 3 points, A, B and C, on a circle, centre O.

AC is a diameter of the circle.

B

Angle BAO is aº and angle BCO is yº

What is the size of angle ABC?

**Answer:**

90 degrees

**Step-by-step explanation:**

the centre angle of the triangle is 180°.

ABC is its circumference angle, that is half the centre one

given triangle ABC find the values of x and y. In your final answer, include all of your calculations.

**Answer:**

**Step-by-step explanation:**

X = ?

y = ?

The big triangle ABC is a right triangle, we can use Pythagoras theorem to find side y, then use SOH CAH TOA to find angles :)

also, there is a special rule for a triangle set up like this one

2CD = BD

for this triangle then,

2CD = 9

CD = 4.5

X = 13.5

now use Pythagoras to find y

[tex]13.5^{2}[/tex] = [tex]6^{2}[/tex] + [tex]y^{2}[/tex]

182.25 -36 = [tex]y^{2}[/tex]

[tex]\sqrt{146.25}[/tex] = y

12.093386 = y

now that you have all 3 sides of the big triangle, use which ever trig function you are most comfy with to find angle B or C, i'll find C

CAH = Cos(C) = Adj / Hyp

Cos(C) = 6 / 13.5

arcCos(Cos(C)) = arcCos(6/13.5)

C = 63.6122°

now find B

180 = 90 + 63.6122 + B

26.3877° = B

got it?

What is a 5th root of unity?

The fifth **root** of **unity** is given by **Z = 1, e^(2πi/5) ,e^(-2πi/5), e^(4πi/5), e^(-4πi/5).**

As given in the question,

Using the Euler Identity ,** **

e^(πi) = -1

Calculate the nth **root** of Unity so that it can be used to calculate for any value of n:

Zⁿ = 1

⇒Z = (1)^(1/n)

Apply **Euler's Formula** we get,

Z = cos (2kπ + 0)/n + i sin(2kπ + 0 )/n

⇒Z = cos ( 2kπ / n) + isin( 2kπ / n)

Using Euler' identity** **we can write this as :

Z = e^(2kπ/n)

For k = 0 , 1 , 2 , 3..... (n-1)

Now substitute n = 5 to get the value of 5th root of unity we have

Z = e^(2kπ/5)

When k = 0 , 1, 2, 3, 4

k = 0 ⇒ Z = 1

k= 1 ⇒ Z = e^(2πi/5)

k = 2 ⇒ Z = e^(4πi/5)

k= 3 ⇒ Z = e^(-2πi/5)

k = 4 ⇒ Z = e^(-4πi/5)

Therefore, the value of 5th **root **of unity is equal to Z = 1, e^(2πi/5) ,e^(-2πi/5), e^(4πi/5), e^(-4πi/5).

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find sin2theta and cos2theta and tan2theta if cos theta is 1/3 and theta is less than 360 but greater than 270

someone help!!

Answer:

sin2theta

= (4root2)/9

cos2theta = -7/9

tan2theta

= (4root2)/-7

Step-by-step explanation:

see image.

Draw a picture to help see your angles and the triangle trigonometry. Use Pythagorean theorem and triangle trig to find sintheta and tantheta. Use Double Angle Formulas to find the answers to the question. See image.

The **value **of the sin 2θ, cos 2θ, and tan 2θ will be - 0.628, -0.778, and 0.808, respectively.

**Trigonometric **functions examine the interaction between the dimensions and angles of a triangular form.

The **trigonometric **equation is given below.

cos θ = 1/3

cos θ = 0.3333

θ = 289.47°

The value of the **sine **of angle 2θ will be given as,

sin 2θ = sin (2 × 289.47°)

sin 2θ = sin 578.94°

sin 2θ = -0.628

The value of the **cosine **of angle 2θ will be given as,

cos 2θ = cos (2 × 289.47°)

cos 2θ = cos 578.94°

cos 2θ = -0.778

The value of the **tangent **of angle 2θ will be given as,

tan 2θ = tan (2 × 289.47°)

tan 2θ = tan 578.94°

tan 2θ = 0.808

The **value **of the sin 2θ, cos 2θ, and tan 2θ will be - 0.628, -0.778, and 0.808, respectively.

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What are the factors of the expression xÂ² 6x 16?

On solving the provided question we can say that, - the factors of the given **equations** [tex]x^2 +6x - 16\\[/tex] are - x= -4 and x = 2

A number that divides another number by itself with no residual is known as a **factor.** In other words, if multiplying two whole numbers results in the creation of a product, the numbers we are multiplying are factors of the product since the product is divisible by them. **Division **and multiplication are the two ways to discover factors. A number or other mathematical object is factorized or factored in mathematics by expressing it as the product of numerous factors, often smaller or simpler things of the same sort. One factorization of the polynomial x2 - 4 is 3 5, which is also a factorization of the number 15.

[tex]x^2 +6x - 16\\[/tex]

(x+4)(x-2)

x= -4 and x = 2

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What is the end behavior of the graph of f x )= x5 8x4 16x3?

The end behavior of the **graph **is that it tends towards negative infinity as x approaches negative infinity, and tends towards positive infinity as x approaches** positive infinity.**

The end behavior of the **graph **of f(x) = x5 - 8x4 + 16x3 can be determined by looking at the leading term of the polynomial. The leading term of the **polynomial **is x5, which is positive for positive values of x and negative for negative values of x. Therefore, as x approaches negative infinity, the graph of f(x) will tend towards negative infinity, and as x approaches **positive infinity,** the graph of f(x) will tend towards positive infinity. To understand this further, consider what happens when x is very large, either positive or negative. As the absolute value of x increases, the leading term of the polynomial, x5, will have an increasingly large influence on the value of the polynomial, and any other terms will become **insignificant**. Therefore, for very large values of x, the graph of f(x) will almost entirely reflect the behavior of the leading term, which is to approach negative infinity for negative values of x and positive infinity for positive values of x.

f(x) = x5 - 8x4 + 16x3

When x is very large, either positive or negative:

When x is very large and positive:

f(x) ≈ x5

f(x) → ∞

When x is very large and negative:

f(x) ≈ -x5

f(x) → -∞

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How do you find the area of a contour?

Contour area is given by the function cv. contourArea() or from moments. Area means the areas of the Contour infrastructure and systems for which Contour has sole administrative control.

The sixth-graders at Kendrick's school got to choose between a field trip to a museum and a field trip to a factory. 14 sixth-graders picked the museum. If there are 56 sixth-graders in all at Kendrick's school, what percentage of the sixth-graders picked the museum?

There are 35% **sixth**-**graders **at Kendrick's **school **who picked the museum.

**Percentage **is a part of the **whole **number.

When the denominator is 100, **percentages **are really just fractions. We place the **percent symbol **(%) beside a number to indicate that it is a percentage.

1 %= 1/100.

Given that,

Total **number **of sixth-graders at Kendrick's school = 56,

Also,

The number of s **sixth**-**graders **that picked the museum = 14.

The **percentage **of the sixth-graders that **picked **the museum

= (14/56) x 100

= (1/4) x 100

= 25 %

25 **percent **of the sixth-graders **picked **the museum.

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What is the sum of roots of 3xÂ² 10x 8 0?

The **sum** of the **roots** of 3x² 10x 8 0 is -2.

The given equation, 3x² 10x 8 0, is a quadratic equation with two roots. To find the sum of the roots of this equation, we must first solve the equation. To do this, we use the quadratic formula, which states that the roots of the equation are x = [-b ± √(b² - 4ac)]/2a. Here, a = 3, b = 10 and c = 8.

Therefore, the **roots of the equation** are x = [-10 ± √(10² - 4(3)(8))]/2(3). This simplifies to x = [-10 ± √(-4)]/6. Since the **square root **of a negative number is not a real number, the roots of the equation are not real numbers, and the sum of the roots is undefined. Therefore, the sum of the roots of 3x² 10x 8 0 is -2.

x = [-10 ± √(10² - 4(3)(8))]/2(3)

x = [-10 ± √(-4)]/6

x = [-10 ± √(-4)]/6

Since the square root of a **negative number** is not a real number, the roots of the equation are not real numbers, and the sum of the roots is undefined.

Therefore, the** sum of the roots **of 3x² 10x 8 0 is -2.

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find a and b if the point p (6,0) and Q 3 2 lie on the graph of ax+ by

**Answer:**

a=b=0

**Step-by-step explanation:**

y=(ax)/b so now plug in the points

first 0=6a/b

next 2=3a/b

0=6a

2b=3a

a,b =0

You probably put the wrong problem but this is what I got.

What is a word expression example?

A word **expression example** is "as busy as a bee." This **phrase **is used to describe someone who is very **busy **and **active**.

The phrase **“as busy as a bee”** is often used to describe someone who is very active and busy. This phrase is a testament to the hard work that bees have to do every day in order to ensure the survival of their hive. Similarly, people who live an active lifestyle can reap the same benefits of a hard-working bee. From **physical** **health benefits **to improved mental health, living an active lifestyle can have a profound impact on one’s overall well-being.

When it comes to **physical** **health**, engaging in regular physical activity can reduce the risk of chronic diseases, such as heart disease, stroke, and diabetes. Additionally, regular **physical activity **can help to improve physical fitness and boost energy levels. Not only does this make it easier for individuals to perform everyday tasks, but it can also help to improve one’s mood and reduce feelings of stress and anxiety. In addition to physical health benefits, an active lifestyle can also promote improved **mental health**. Exercise can help to reduce symptoms of depression, as well as improve one’s self-esteem and overall sense of well-being.

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An architect maps two buildings, which are located on a piece of land, onto a coordinate plane. He wants to build a wall at the diagonal ac to divide the piece of land into two parts. What will be the length of the wall?.

The** length **of the **wall **will be 6√5 units.

The** measurement** or size of something from end to end is referred to as its** length**. To put it another way, it is the greater of the higher two or three dimensions of a** geometric form** or object. For instance, the length and width of a rectangle define its dimensions.

The length of the wall = **diagonal AC** = distance between point A (-6, -2) and point C (6, 4).

**Distance formula** between two points on a graph (d) = [tex]\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2} }[/tex]

Where,

A(-6,-2) = (x1,y1)

C(6,4) = (x2,y2)

[tex]d=\sqrt{(6-(-6))^{2}+ (4-(-2))^{2} }\\d= \sqrt{(6+6)^{2}+ (4+2)^{2} }\\d=\sqrt{(12)^{2}+ (6)^{2} }\\d= \sqrt{180} \\d= \sqrt{36*5}\\ d=6\sqrt{5}[/tex]

Thus, The** length **of the **wall **will be 6√5 units.

Refer to the image attached for the graph missing in the question.

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Determine whether the following equence i an arithmetic or geometric progreion. Give a reaon for your anwer. 100p,50p,25p,

**Answer:**

Geometric.

**Step-by-step explanation:**

It is Geometric because there is a common ratio between the terms.

50p/100p = 1/2

25p/50p = 1/2

The common ratio is 1/2.

Each term is obtained by multiplying by 1/2, so the next term in this progression is 25p * 1/2 = 12.5p.

How do I solve 8(4x+3) ≥ −1+7x

The final answer is x>=-1

Can we use AAA congruence criteria to make two congruent triangle give reason?

The sides of a triangle with all respective angles equal, i.e. **AAA **condition, may or may not be equal. Only if two triangles with the same respective angles are identical would the **congruence **stay true.

Knowing only angle-angle-angle (**AAA**) does not work because it can produce similar but not congruent triangles. When you're trying to determine if two **triangles **are congruent,

there are 4 shortcuts that will work. Because there are **6 corresponding **parts 3 angles and 3 sides, you don't need to know all of them. If the three angles (**AAA**) between two triangles are congruent, that does not imply that the triangles must be congruent. They have the same shape (and can be considered comparable), but we don't know how big they are.

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17. (4 points) On the set of axes below, draw the graph of the equation y = -3/4x +3.

(2 points) is the point (3,2) a solution to the equation?

Explain your answer based on the graph drawn.

(3,2) is not a solution because it does not satisfy the **equation **and the line on the graph does not pass through it.

**How to find the solution to an equation?**

We perform the same operations on **both sides** to ensure that the equality of both expressions is maintained.

Solving** equations **generally entails determining the values of the variables used in the equation for which the equation under consideration is true.

**Given that:**

The graph of the equation is y = -3/4x + 3.

To find if the point (3, 2) a solution to the equation.

substitute the point to to satisfy the equation;

y = -3/4x + 3

y = -3/4(3) + 3

y = -9 / 4 + 3

y = 3/3 = 1

Hence, (3,2) isn’t a **solution** because it doesn't satisfy the equation and also the line on the **graph **doesn’t go through it .

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Which of the following is not a quadratic equation * xÂ²+ 4x 11 XÂ² XÂ² 4x 5xÂ² 90 2x XÂ² XÂ² 5?

A **quadratic equation **is an equation of the form ax² + bx + c = 0, where a, b, and c are **real numbers** and a ≠ 0. So , x + 4x 11 cannot be solved as a quadratic equation.

A quadratic equation is an equation of the form **ax² + bx + c = 0**, where a, b, and c are** real numbers** and a ≠ 0. The expression x + 4x 11 does not fit this form, and therefore is not a quadratic equation. In the equation, x is an unknown variable, and 4x 11 is a **linear expression**. Since this expression does not contain the variable squared, it is not a** quadratic equation.**

x + 4x 11 cannot be solved as a quadratic equation.

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What is the slope intercept for 4x Y =- 5?

The slope of the **equation** 4x+y = -5 is -4 and the y-intercept is -5.

To find the **slope** and y-intercept of the equation 4x+y = -5, you can rearrange the equation into slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

To rearrange the equation 4x+y = -5 into slope-intercept form, you can subtract 4x from both sides to get

y = -4x - 5

In this form, the coefficient of x is the slope (m = -4) and the constant term (-5) is the **y-intercept** (b = -5).

You can **graph** this equation by plotting the y-intercept at (0, -5) and using the slope to find additional points on the line. For example, if you increase x by 1, the corresponding change in y can be found by using the slope:

y = (-4 * 1) + (-5) = -9.

This means that the point (1, -9) is also on the line. You can repeat this process to plot additional points on the line and connect them to graph the equation.

--The question is incomplete, answering to the question below--

" What is the slope and y-intercept for 4x+y = -5?"

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Part Two: Using Critical Project Management Tools swer the following questions, using as much space as you need 7 (3) 2 (2) 5 (1) 5 2 3 (2) 2 (3) 4 (2) 2 (3) 6(3) 1 6 3 12 3 (3) 2 (2) 2 (2) 4 10 Duration (#of People) Let's reinterpret the resource demands over time for a left-justified schedule assuming you have five people available. Create a left-justified schedule for the project above, assuming five people, and answer the following questions. 1. Map the earliest start times for each activity to the resource demands over time. What are the earliest start times for each activity? 2. Level the schedule so it is consistent with resource availabilities. What is the new project duration? 3. For this project network, identify the critical sequence. (Frame your answer as Activity Node X to Activity Node Y to Activity Node Z, etc.)

The** resource**-**constrained schedule **has a duration of 24 and a duration of 17 with 2 critical schedules.

**Resource-constrained **project scheduling entails the planning of project **operations **that are subject to priority and resource **limitations **in order to best achieve the objective(s). The range of problems kinds is extensive in this field.

Given, **reinterpreting **the resource demands over time for a **left-justified **schedule assuming you have five people available. For Map, the earliest start times for each activity to the resource demands over time

ACT activity ES EF LS LF Slack

1->2 a 0 3 0 3 0

1->4 b 0 3 10 13 10

2->3 c 3 5 3 5 0

2->5 d 3 8 3 8 0

5->8 e 8 15 8 15 0

3->6 f 5 9 5 9 0

6->9 g 9 11 9 11 0

4->10 h 3 5 13 15 10

10->12 I 5 7 15 17 10

8->12 j 15 17 15 17 0

9->12 k 11 17 15 17 0

The **resource**-**constrained schedule **has a duration of 24

day 1 2 3 4 5 6 7 8 9 10 11 12 13

activity a,b a,b a,b c,d c,d (d,f,h)(d,f,h) d,f f, I e, I e e e

resources 5 5 5 4 4 5 5 3 4 4 3 3 3 3

day 14 15 16 17 18 19 20 21 22 23 24

activity e e e j,g j,g k k k k k k

resources 3 3 3 5 5 3 3 3 3 3 3

There are 2 critical schedules

first - (1-2)-->(2-5)-->(5-8)-->(8-12)

second - (1-3)-->(3-6)-->(6-9)-->(9-12) with duration 17.

Therefore, The two important schedules in the **resource**-**constrained** **schedule** each have a duration of 24 and 17, respectively.

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How do you calculate maximum value?

Therefore , the solution of the problem of **equation **is you can calculate **maximum value** of a** equation** by max = c - (b2 / 4a).

**What is the equation?**

Equations are created by connecting two **expressions **with the same sign to form a **mathematical statement**. An example is the equation

3x - 5 = 17. We may ascertain that the variable x has a value of 4 by resolving this equation.

**According to the given question:**

You can use the formula max = c - (b2 / 4a) to determine the maximum value if you are given the formula y = ax2 + bx + c.

The greatest value is k in the equation y = a(x-h)2 + k when the a component is negative.

Therefore , the solution of the problem is you can calculate maximum value is by max = c - (b2 / 4a).

Complete question:

How do you calculate maximum value of a equation?

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What is the coefficient of the variable in the expression 2 âˆ’ 5x âˆ’ 4 8?

The** coefficient** of the variable x in the expression 2-5x-4+8 is -5

Given that,

The expression is 2-5x-4+8 which can be simplified as -5x+6

To find : The coefficient of the **variable** x in the expression

The coefficient of x in 2-5x-4+8 is -5

A number multiplied by a **variable **is referred to as the coefficient of a number. For instance, the x2 coefficient in the **formula** 6x2+99 is 6

**Coefficient** is the number that is beside the variable in the equation.

As we can see that the term that is in multiplication with x is -5.

Hence, the **coefficient** of x in the equation is -5.

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What is the median of the following 26 27 28 29 30?

The **median** of the set of numbers 26, 27, 28, 29, and 30 is 28. This is the middle number in the **ordered** **set**, and it is not affected by extreme values or outliers.

The **median** of a set of numbers is the value that is exactly in the middle of the set when it is **ordered **from least to **greatest**. In this case, the set of numbers is 26, 27, 28, 29, 30. When we order this **set **from least to greatest, we get 26, 27, 28, 29, 30. There are five numbers in this set, so the **median **is the third number. The third number in this set is 28, so the median is 28.

To find the **median**, we first need to arrange the numbers in order from least to greatest. If there is an **odd** **number **of numbers in the set, the median is the middle number. If there is an even number of numbers in the set, the median is the **average** of the two **middle numbers**. In this case, there are five numbers in the set, so the median is the middle number.

In summary, the **median** of the set of numbers 26, 27, 28, 29, 30 is 28. This is the middle number in the ordered set, and it is not affected by extreme values or **outliers**.

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A system of equations consists of a line s of the equation y = x – 5 and a line t that passes through the points (0, 2) and (8, –4). answer the questions about line t to write the equation. what is the slope of line t? what is the y-intercept of line t? what is the equation in slope-intercept form of line t?

The **slope** of line t is -3/4, **y-intercept** of line t is 2 and the **equation **of line t in slope-intercept form is y = -3/4x + 2.

To find the slope of line t, we can use the **slope formula**, which is:

slope = (y2 - y1) / (x2 - x1)

In this case, we know that line t passes through the points (0, 2) and (8, -4), so we can plug in the coordinates to find the slope:

slope = (-4 - 2) / (8 - 0)

= -6 / 8

= -3/4

The **slope** of line t is -3/4.

To find the y-intercept of line t, we can use the **point-slope form** of a linear equation, which is:

y - y1 = m(x - x1)

In this case, we know that line t passes through the point (0, 2), and we know the slope of the line is -3/4. We can plug these values into the point-slope form to find the y-intercept:

y - 2 = (-3/4)(x - 0)

y - 2 = -3/4x

y = -3/4x + 2

The **y-intercept **of line t is 2.

To write the equation of line t in slope-intercept form, we can use the **slope** and **y-intercept **we found above:

y = -3/4x + 2

This is the **equation **of line t in slope-intercept form.

Thus, The **slope** of line t is -3/4, **y-intercept** of line t is 2 and the **equation **of line t in slope-intercept form is y = -3/4x + 2.

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slope = (y2 - y1) / (x2 - x1)

slope = (-4 - 2) / (8 - 0)

= -6 / 8

= -3/4

The slope of line t is -3/4.

y - y1 = m(x - x1)

y - 2 = (-3/4)(x - 0)

y - 2 = -3/4x

y = -3/4x + 2

The y-intercept of line t is 2.

y = -3/4x + 2

This is the equation of line t in slope-intercept form.

Thus, The slope of line t is -3/4, y-intercept of line t is 2 and the equation of line t in slope-intercept form is y = -3/4x + 2.

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