The **equation** of the line** perpendicular **to the given line will be equal to 5y = x - 3.

A **line** may be defined as a straight figure which is drawn and has no **end points**. The **equation** of line in **slope intercept** form may be written as **y = mx + c** where m is the** slope** and c is the** y intercept**. The equation of line passing through a point (x₁, y₂) will be given as (y - y₁) = m(x - x₁). The slope of line **perpendicular** to a line having slope m is given by -1/m. The equation of line in the question is y = -5x + 1. The **slope** of the line is -5. The slope of line perpendicular to this line is 1/5.** Equation **of line passing through (2, -1) and slope 1/5 is given by

(y + 1) = 1/5(x - 2)

5y + 1 = x -2

5y = x - 3 which is the required **equation**.

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If f(x)=5x^2+3x-1How do I find what f(b) equals to?

**Given:**

**Required: **

We need to find f(b).

**Explanation:**

Replace x =b in the given equation to find the value of f(b).

[tex]f(b)=5(b)^2+3(b)-1[/tex][tex]f(b)=5b^2+3b-1[/tex]**Final answer:**

Hillsboro Street and Manchester Avenue intersect. If the diagonal distance across the

intersection is 73 feet and Hillsboro Street is 55 feet wide, how wide is Manchester Avenue?

The **intersection's** two opposing corners are 91.40 feet apart.

Since the given data are:

Width of the Hillsboro Street = 73 feet

Width of Manchester Avenue = 55 feet

When Hillsboro Street and Manchester Avenue cross, calculate the distance between the intersection's two opposing corners,

Because the junction of Hillsboro Street and Manchester Avenue created a **right-angled triangle**:

Using **Pythagoras's Theorem**,

H² = B² + P²

H² = (55)² + (73)²

H² = 3025 + 5329

H² = 8354

H = √8354

H = 91.40

As a result, the distance between the intersection's two opposing corners is 91.40 feet.

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Please help me please I’m begging I WILL GIVE YOU BRAINLEST

The value of **x** is 4.

When two** parallel lines** are intersected by a **transversal**, the **exterior angles **created on either side of the transversal are equal, according to the** alternate exterior angle theorem**.

The given **angles** are 2x + 19° and x + 23°.

As these pair of angles are created on the outer side of the parallel lines but on the other side of the **transversal,** they are **alternate exterior angles.**

Using the** Alternate Exterior Angles Theorem**,

2x + 19° = x + 23°

2x - x = 23° - 19°

x = 4

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2/3 ✕ 8 3/5 ✕ 9

I think I'm doing it wrong. Someone help I need the most simplified mixed number.

Exact Form:

774/25

Decimal Form:

30.96

Mixed Number Form:

30 24/25

You probably need to put in The Decimal Form

**Answer:**

51 3/5

**Step-by-step explanation:**

[tex]\frac{2}{3} *8\frac{3}{5} * 9\\[/tex] turn the mixed number into an improper fraction first. So, turn

8 3/5 into 43/5.

Also, turn the 9 into 9/1 to make it easier to multiply with

Now multiply all together:

2/3 * 43/5* 9/1

= 774/15

Simplify:

i divided both numerator and denominator with 3 because that is a common factor

=258/5

Answer= 51 3/5 is the mixed number

a $52 video game is adversited for 20% of it sales tax is 6%

What is the rest of the question?

Answer:

39 dollars

Step-by-step explanation: 20 perrcent of 52

Here are the ingredients needed to make 12 biscuits.

Hamza has 375g of butter

200 g of sugar

675g of flour

Biscuits

To make 12 biscuits

Work out the greatest number of biscuits Hamza can make.

Optional working

125 g of butter

50g of sugar

175g of flour

With 350 gram of **ingredients **Hamza can make 3.36 wich is equivalent to 3 biscuits or [tex]3\frac{9}{25}[/tex] biscuits.

Given : To make 12 biscuits Hamza needs ; 375g of butter

200 g of sugar and 675g of flour .

thus the total amount of ingredients = 375 + 200 + 675

= 1,250 g

Thus to make 12 biscuits 1250 g is required.

By using** unitary method** we get :

1g will make 0.0096 biscuits

However to work out the greatest number of biscuits with 125 g of butter

50g of sugar and 175g of flour

will be 125 + 50 + 175 = 350 g

Thus 350 g can make 0.0096 × 350 = 3.36 biscuits ≈ 3 biscuits.

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Consider the equation:24 = x^2 - 4x + 31) Rewrite the equation by completing the square.Your equation should look like (x + c)^2 = d or (x – c)^2 = d.[ ]2) What are the solutions to the equation?Choose 1 answer:A) x=2 ± 5B) x = -2 ± √5C) x = 2 ± √5D) x = -2 ± √5

**(x - 2)² = 25**

24 = x² - 4x + 3

rewritting:

x² - 4x = 24 - 3

x² - 4x = 21

**using the completing the square:**

coefficient of x = -4

square half the coefficient of x = (-4/2)² = (-2)²

Add the square half the cofficient of x to both sides of the equation

x² - 4x + (-2)² = 21 + (-2)²

taking out -4x:

(x - 2)² = 21 + 4

**(x - 2)² = 25**

**The equation above is in the form (x + c)^2 = d or (x – c)^2 = d**

2/3 ÷ -5/6 yo nesecesito dividir

**Answer:**

-4/5

**Step-by-step explanation:**

2/3 * -6/5 = -4/5

:]

My brain can’t think straight and I’m trying to figure out the difference in the solution to a graph of a linear equation and the solutions to the graph of a linear inequality

For a **linear equation **the solutions are on the line, while for** inequalities **the solutions are above or below the line (sometimes the line is also included).

When we have a **linear equation **of the form:

y = line

The solutions on the **graph **of this equation are the points on the line.

Now, for **inequalities **like:

y > line

or

y < line.

The solutions are all the points above (or below) the line itself.

Finally, for **inequalities **like:

y ≥ line

y ≤ line

The **solutions **are above (below) the line and the line itself.

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inverse of (1/4x) +2

**Answer:**

Inverse Function = 4x -8

**Step-by-step explanation:**

replace x with y and replace x with y

solve for y (meaning isolate y)

y=(1/4x) +2

x= (1/4y) +2

x-2 = 1/4y

multiply by 4 on each side to remove 1/4 from the right side

4(x-2) = y

y= 4(x-2)

y= 4x -8

Inverse Function = 4x -8

A store owner mixes 2 Ib of candy that costs x dollars per pound with 3 Ib of candy that costs $1.50 per pound. She sells the mix for $2.50 per pound.

We may determine the **value** of **candy** costs by solving a** linear equation **in which the answer is given as

x = $4.00.

How can you find out how much candy costs?We are aware that a shop owner blends two pounds of **candy** priced at x dollars per pound with three pounds of candy priced at $1.50 per pound. She asks $2.50 for the **mixture**.

Since the entire cost at the start must equal the total cost at the end, we can express the **equation **as 2lb + 3lb = 5lb.

2*x + 3*$1.50 = 5*$2.50

This **linear equation **for x may now be solved:

2*x = 5*$2.50 - 3*$1.50 = $8.00

x = $8.00/2 = $4.00

The **sweet** has a $4 price tag.

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9 c + 32 calculates the

The formula F(C) = 5

temperature in degrees Fahrenheit, given a

temperature in degrees Celsius

You can find an equation for the temperature in

degrees Celsius for a given temperature in

degrees Fahrenheit by finding the function's?

-15° = C is a given temperature in degrees **Fahrenheit** by finding the function's.

**What is the purpose of Fahrenheit?**

we have a value for F, and so we use that to find C. Insert F's value into the equation:

5 = 9/5 C + 32

Subtract 32 from both sides:

5 - 32 = 9/5 C + 32 - 32

-27 = 9/5 C

Now we multiply both sides by 5/9

-27 * 5/9 = 9/5 C 5/9

-27 is divisible by 9:

-3 * 5 = C

-15° = C

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**Answer:**

1. Inverse

2. 5/9 and 160/9

3. All of them

**Step-by-step explanation:**

pls help me answer this "23 miles is how many kilometers Round your answer to the nearest tenth." TY

**Answer:**

23 miles is 37 kilometers

Estelle and Carlos will be hosting a party and will buy 6 pies for their guests. Two lemon meringue pies cost $3 less than 4 blueberry pies. Three lemon meringue pies cost$9 more than 3 blueberry pies. How much does each type of pie cost?

The **cost** of each lemon meringue pie is $7.5 and the cost of each blueberry pie is $4.5.

Given that, Estelle and Carlos will be hosting a party and will buy 6 pies for their guests.

What is an equation?In mathematics, an **equation** is a formula that expresses the **equality** of **two expressions**, by connecting them with the equals sign =.

Let the **cost** of lemon meringue pies be L and the cost of blueberry pies be B.

Now, 2L = 4B - 3 and 3L= 3B + 9

Multiply the **equation** 2L = 4B - 3 by 3

6L = 12B - 9 --------(I)

**Multiply** the equation 3L= 3B + 9 by -2

-6L = -6B - 18 --------(II)

Add equation (I) and (II)

6L+(-6L) = 12B - 9 + (-6B-18)

⇒ 0 = 6B - 27

⇒ 6B = 27

⇒ B = $4.5

So, cost of lemon meringue = 2L = 4×4.5 - 3

⇒ 2L = 18 - 3

⇒ 2L = 15

⇒ L = $7.5

Therefore, the **cost** of each lemon meringue pie is $7.5 and the cost of each blueberry pie is $4.5.

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Write 41% as a fraction in simplest form.

**Answer:**

[tex]\frac{41}{100}[/tex]

**Step-by-step explanation:**

It cannot be simplified.

Ex: 50% can be simplified to [tex]\frac{1}{2}[/tex]

Make x the subject of the formula. 5d cubed= d squared (2b-3cx)

The **value of x** = [tex]\frac{2b-5d}{3c}[/tex] .

Algebraically speaking, an **equation **is a statement that shows the equality of two mathematical **expressions**. For instance, the two equations** 3x + 5 and 14, **which are separated by the** 'equal' sign**, make up the equation **3x + 5 = 14.**

The given equation is

[tex]5d^{3}=d^{2}(2b-3cx)[/tex]

5[tex]d^{3}= d^{2}2b-3cd^{2}x[/tex]

3c[tex]d^{2}x = d^{2}2b-5d^{3}[/tex]

x = [tex]\frac{d^{2}(2b-5d) }{3cd^{2} }[/tex]

x = [tex]\frac{2b-5d}{3c}[/tex]

Hence, The** value of x **= [tex]\frac{2b-5d}{3c}[/tex] .

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please help brainliest to correct answer

**Answer:**

**A, n = (8 - 7p)/m.**

**Step-by-step explanation:**

mn + 7p = 8

mn = 8 - 7p

n = (8 - 7p)/m.

Which toolkit function is this ? I am always continuous and have a point of inflection at the origin. My range is from negative one to one.optionssquare root function , quadratic function, rational function , exponential function constant linear function , linears function cubic function , logarithmic function ,asbolsoute value and sine function

**Step 1**

Given; Which toolkit function is this? I am always continuous and have a point of inflection at the origin. My range is from a negative one to one.

**Step 2**

**The function that is always continuous and has a point of inflection at the origin with its range going from -1 to 1 is**

From the graph, the range is from -1 to 1.

**Answer;**

Need help asap

A. h(x)=6-f(x)

B. h(x) = f(x)-6

C. h(x)=f(x) +6

D. h(x)=6f(x)

The equation of the graph after the **translation **is h(x)=f(x)+6

The process of transforming an **equation **or **existing **graph into a new graph is known as graph **translation**.

Since the graph for h(x) has moved to the left by 6 units as we can see in the graph. Hence the co-ordinates will also change by 6 units . hence the graph is **translated **to the left by 6 units.

Therefore the equation after the **translation **is given by h(x)=f(x)+6 .

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PLS HELP ME OUT MARKING BRAINLEIST

The **side **x = 104 unit and **angle** y = 74 °

A** quadrilateral **is referred to as a parallelogram in geometry.

The opposite sides of a parallelogram are parallel and of equal length.

Rhombus, rectangle, and square are a few instances of parallelograms.

The special properties of a parallelogram is that the two opposing sides are both equal and parallel. Also the opposite angles are equal. And the angles inside the parallelogram on the same side , their sum is 180 degrees .

Given : A parallelogram ABCD.

Now in a **parallelogram** opposite sides are both **equal **and** parallel.**

So in this parallelogram ;

97 = x - 7

⇒ x = 97 + 7

⇒ x = 104 .

Also **opposite **angles of a parallelogram are equal.

⇒ y = 74 °

Thus the required solution is x= 104 degree and y= 74 degrees

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Of the 16 nurses in Doreen’s department, 12 are women and 4 are men. One of the nurses will be assigned at random to work an extra shift next week. Find the probability a woman nurse will be assigned the extra shift. Convert the fraction to a decimal.

**Answer:**

**Step-by-step explanation:**

there are 10 milliliters and 1 liter

Arnold plants a tree sapling in his yard and measures its height every year. His measurements so far are shown in the scatterplot.

The equation of the **scatter plot **is y = 5/3x + 2 and the tree will be 18.7 feet in ten years

**Linear equations **are equations that have constant average rates of change.

Note that the constant **average rates **of change can also be regarded as the slope or the gradient

The information that completes the question is added as an attachment

From the **scatter plot**, we have the following points

(x, y) = (0, 2) and (6, 12)

The equation of the line is calculated as

y = (y2 - y1)/(x2 - x1) * (x - x1) + y1

Substitute the known values in the above equation

So, we have

y = (12 - 2)/(6 - 0) * (x - 0) + 2

So, we have

y = 5/3x + 2

In ten years, the value of x is

x = 10

So, we have

y = 5/3 x 10 + 2

Evaluate

y = 18.7

Hence, the **height **of the tree is 18.7 feet

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Please help me. I tried every answer possible. Due today.

The **rate **of **change** of what the cab company charges is; $3.3 per mile

The rate of change is simply the **slope** of the graph which is the change in y-values per change in corresponding x-values. Thus;

**Rate of change** here is;

**Slope** = (y₂ - y₁)/(x₂ - x₁)

We are told that the cab company charges a one time pick up fee of $2 for every ride as well as a $1.10 charge for each mile travelled.

Thus;

Base fee = $2

Rate of change = 2 + 1.1

**Rate of change** = $3.3 per mile

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5x + 2y =6

x and y intercept

**Answer:**

See below

**Step-by-step explanation:**

x-axis intercept occurs when y = 0

5x + 2(0) = 6

x = 6/5

y axis intercept occurs when x = 0

5(0) + 2y = 6

y = 3

Solve 0=2y-8x+10 for y

**Answer: Y=4x-5 **

**That should be write thats what i got**

**Solution****:**** ** 0 = 2y - 8x + 10

=> - 2y = - 8x + 10

=> 2y = 8x - 10

=> y = 4x - 5

i'll give brainliest

Pretty sure first one is numerator and second is 0

**Answer:**

[tex]\textsf{When the \boxed{\sf numerator} of a fraction is equal to \boxed{0} the value of the fraction is 0.}[/tex]

**Step-by-step explanation:**

Fraction

[tex]\boxed{\large\begin{array}{ccl}1 & \leftarrow & \sf numerator\\\cline{1-1}2 & \leftarrow & \sf denominator \\\end{array}}[/tex]

The **numerator **of a **fraction **is the number (or expression) above the fraction bar.

The **denominator **of a **fraction **is the number (or expression) below the fraction bar.

[tex]\large{\boxed{\dfrac{n}{0}=\textsf{und\:\!efined} \quad \quad \dfrac{0}{n}=0}[/tex]

If a number (or expression) is **divided by zero**, the quotient is **undefined**.

If **zero** is **divided **by** **a number or expression, the quotient is **zero**.

Therefore:

[tex]\textsf{When the \boxed{\sf numerator} of a fraction is equal to \boxed{0} the value of the fraction is 0.}[/tex]

The number of gifts received each day of "the 12 days of christmas" is a function of the day ("on the fourth day of christmas, my true love gave to me: 4 calling birds, 3 french hetis, 2 turtle doves, and a partridge in a pear tree")

Answer: True, It it the same as any other function, it just has more numbers than a two number function

Step-by-step explanation:

Solve one half equals one fourth times the quantity y plus one eighth end quantity for y. y equals one half y equals three fourths y equals fifteen over eight y equals three halves

The** **value of y in the **equation** 1/2 = 1/4y + 1/8 when **solved** is: y = 3/2(three halves).

**Solving** an **equation** implies looking for the value of the variable that would make the **equation** true or balanced if we plug in the value of that variable into the **equation**.

To **solve **for the value of y in the given **equation**, 1/2 = 1/4y + 1/8, isolate the **variable** of **equation**, y, to one side.

1/2 = 1/4y + 1/8 [given]

1/2 - 1/8 = 1/4y + 1/8 - 1/8 [subtraction property of equality]

3/8 = 1/4y

Multiply both sides by 4

3/8(4) = 1/4y(4)

12/8 = y

3/2 = y

y = 3/2 (three halves).

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Question 3 of 6

Read the problem below and find the solution. Draw a diagram on your own

paper to help solve it.

A group of 31 friends gets together to play a sport. First, people must be

divided into teams. Each team has to have exactly 3 players, and no one can

be on more than one team. How many teams can they make? (It is possible

that not everyone can be on a team.)

(Do not include units in your answer.)

They can make 10 teams NOT 10.3.

What is basic division?Long **division **is a common division procedure in mathematics that may be used to divide **multi-digit Hindu-Arabic numbers **(Positional notation) and is easy enough to do manually. A division problem is divided up into a number of simpler steps.

Like in every division problem, the dividend and divisor are two numbers that are divided to produce the **quotient**, which is the **final product**. It makes it possible to carry out computations involving arbitrary large numbers by adhering to a **set **of straightforward processes. When the divisor contains only one digit, **long division** is nearly always avoided and instead, the condensed version, known as short **division**, is employed. A less mechanical approach to long division is known as "chunking," which is also known as the "**partial quotients** method" or "**hangman method**."

31 ÷ 3

= 10 but remainder 1 .

And then the fulfills the condition is that not everyone can be on a team.

So therefore **remainder** 1. Condition fulfilled

Answer is 10 .

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An equation is shown.

y-7= -4(x+6)

Complete the statements.

The equation rewritten in slope intercept form is [DROP DOWN 1].

The point [DROP DOWN 2] is on the graph of the line.

DROP DOWN 1?

**Answers:**

Slope intercept equation is **y = -4x - 17**

The point **(-6, 7) **is on the graph of the line.

====================================================

Explanation:

Let's solve for y

y - 7 = -4(x+6)

y - 7 = -4x - 24

y = -4x - 24 + 7

y = -4x - 17

It is now in slope intercept form y = mx+b

m = -4 = slope

b = -17 = y intercept

---------------

Compare the equation y - 7 = -4(x+6) with the point-slope form of y-y1 = m(x-x1)

The (x1,y1) is a point the line goes through.

Rewriting x+6 into x-(-6) has us get y - 7 = -4(x-(-6))

We can see that x1 = -6 and y1 = 7

Therefore, the point (x1,y1) = (-6,7) is on the line.

3. You have re-approached Robert a couple hours later, and he still refuses the shower. Hestates he only showered weekly at home. As a compromise, he agrees to take a partialbath. Which of the following are true: (mark all that are true)a. You are allowed to make changes to the Plan of Care.b. The Plan of Care can be changed if approved by your supervisor.c.By accommodating his preference for bathing, you are respecting his rights.d. You can give him a partial bath and document he took a shower.
What is the effect on the graph of f(x)=x^2 when it is transformed to h(x)=2x^2 + 15
What is the atomic mass of hafnium if, out of every 100 atoms, 5 have a mass of 176, 19 have a mass of 177, 27 have a mass of 178, 14 have a mass of 179, and 35 have a mass of 180. 0?.
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