What is the average rate of change of the line whose equation is:


y−3=−12(x+4)?


PLEASE HELPPPP

Answers

Answer 1

Answer:

Rate of change = -12

Step-by-step explanation:

y − 3 = −12(x + 4)

Expanding, we have;

y - 3 = -12x - 48

y = -12x - 48 + 3

y = -12x - 45

Now, formula for rate of change is;

Rate of change = (y(x + h) - y)/h

y(x + h) is; y = -12(x + h) - 45

This gives;

Rate of change = (-12(x + h) - 45 + 12x + 45)/h

Rate of change = (-12x - 12h - 45 + 12x + 45)/h

Rate of change = -12h/h

Rate of change = -12


Related Questions

Find the value of x.
(9x+8)
37°

Answers

Total angles on a straight line
(9x + 8) + 37 = 180
9x + 45 = 180
9x = 180 - 45
9x = 135
Divide through by 9
x = 15

Answer: 15

Step-by-step explanation: give them brainliest

Help solve the circle

Answers

Answer:

b

Step-by-step explanation

because u add z with b divided by 37

A math test is made up of 7 problems each worth 10 points. There is no partial credit. Every test taker receives 30 points for taking the test. Enter a function to describe the test score determined by the number of correct answers. Then, graph the function.

f(x)=_____

Answers

Answer:F(x) = 10x+30

Step-by-step explanation:

X=3

The function which represents the test score determined by the number of correct answers is f(x) = 30 + 10x.

What is the linear equation in two variable?

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e. a and b respectively, are not equal to zero.

According to the given question

We have

Total number of problems in a math test = 7

Total points given to each problem if it is correct = 10

Every text taker receives  points for taking a test = 30

Let x represents number of correct answers given by the test taker and f(x) be the total score earned by the test taker.

Now, the function or linear equation  in two variable which represent the given scenario is

f(x) = 30 + 10x

Hence, the function which represents the test score determined by the number of correct answers is f(x) = 30 + 10x.

Learn more about the linear equation in two variable here:

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Some pls explain this to me ((number 5))

Answers

Answer:

MP ⊥ LO ⇒ proved

Step-by-step explanation:

In the given figure

∵ m∠LPM = m∠MNO ⇒ given

m∠MNO = m∠MPO ⇒ given

→ If the measure of an angle equals the measures of another two

   angles, then the two angles must be equal in measures

m∠LPM = m∠MPO ⇒ proved

∵ P ∈ line LO

∵ ∠ LPM and ∠MPO are adjacent angles

∠LPM and ∠MPO formed a pair of linear angles

→ The measure of the linear pair angles is 180°

m∠LPM + m∠MPO = 180°

∵ m∠LPM = m∠MPO

→ That means the measure of each one is 180° divided by 2

∴ m∠LPM = m∠MPO = 180° ÷ 2

m∠LPM = m∠MPO = 90°

∵ MP intersect LO at P and formed right angles at P

→ That means MP is perpendicular to LO

MP ⊥ LO ⇒ proved

Choose the slope-intercept form of y + 3 = 4(x – 5).

Answers

Answer:

y=4x-23

Step-by-step explanation:

y+3=4(x-5)

y+3=4x-20

y=4x-20-3

y=4x-23

My bill is $20 more than Alex’s bill, A. Jessica’s bill is the same amount as mine, which is twice the amount of Alex’s bill.

Answers

Answer:

Step-by-step explanation:

Alex's bill=A

Total cost=T

So your bill is T=20+A

Jessica's bill is the same as your bill

If Alex's bill=A, we multiply it by 2 and our answer is

T=2A

Solve.
Find the circumference of a circle with a diameter of
5 inches. Give the answer in terms of pi

Answers

Answer:

C=Circumference

C= pi x 5 (the diameter).C= 15.70795 round this number to the nearest tenth.when rounded you get your answer of [tex]15.7in[/tex]

Hope this helps

HOW MANY BURGERS CAN BE MADE WITH 1 BILLION COWS ( 1,000,000,000) ????
each cow can make 1,200 burgers

Answers

Answer:

You can make 1200000000000 burgers with a billion cows

Step-by-step explanation:

1200X1000000000=1200000000000

Is number nine the difference of two squares or is it a perfect square trinomial

Answers

Answer:

Step-by-step explanation:

x^2 - 64 is the same as x^2 - 8^2 and is "the difference of two squares."

Hey there!

9) Answer: D. :---- (x +8)(x-8)

10) Answer: P. :------(x-2y)^2

11) Answer: D. :-----(2a+3b)*(2a-3b)

12) Answer: P. :-----(a+4b)^2

13) Answer: P. :-----(x-3)^2

14) Answer:. D. :----(5xy+9z)*(5xy-9z)

15) Answer: P. :-----(2a+1)^2

16)Answer: D. :---(4ab+5)*(4ab-5)

Rewrite 48 + 60 using the distributive property. but in the equation form​

Answers

do you mean like this?

12 (4 + 5)

The cost of a book was raised by 20% and a month later the new price was
lowered by 10% what was the final price of the book of sh.600

Answers

Answer:

$6000.00

Step-by-step explanation:

1. Create an Equation

y/100x(20-10)=600

2. Solve

y/100x(20-10)=600

y/100x10=600

y/100x100x10=600x100

y x 10=60000

10y/10=60000/10

y=6000

3. Check

6000/100x(20-10)=600

60x(20-10)=600

60x10=600

600=600

Correct!

4. Answer

$6000.00

The ratio 60:48 simplified

Answers

Answer:

5 : 4

Step-by-step explanation:

60 : 48 ( divide each part by 12 )

= 5 : 4 ← in simplest form

Answer:

[tex]5 : 4[/tex]

Step-by-step explanation:

[tex]\frac{60}{12}=\frac{48}{12}[/tex]

[tex]=5 : 4[/tex]

There are about 1.61 kilometers in 1 mile. Let LaTeX: xx represent a distance measured in kilometers and LaTeX: yy represent the same distance measured in miles. Write two equations that relate a distance measured in kilometers and the same distance measured in miles.

Answers

Answer:

1.61 x km= y miles  

x km= y/ 1.61 miles

Step-by-step explanation:

Let x represent the distance in Kilometers  and y represent the distance in miles then

1.61 x km= y miles

Now if we have 5 miles then

1.61(5) km = 5miles

8.05 km = 5 miles

Similarly if we want to express 1 km in miles the equation would be

x km= y/ 1.61 miles

So for 5 km the miles would be

5 km = 5/1.61 miles

5 km = 3.1055 miles

A cylinder has a height of 18 meters and a radius of 19 meters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

[tex]\huge\boxed{\sf 20403.72 \ m^3}[/tex]

Step-by-step explanation:

Height = h = 18 m

Radius = r = 19 m

Volume of cylinder:

[tex]= \pi r^2 h\\\\= (3.14)(19)^2(18)\\\\= (3.14)(361)(18)\\\\= 20403.72 \ m^3\\\\\rule[225]{225}{2}[/tex]

Answer:

20403.72  

Step-by-step explanation:

Given parameters:

Height of  cylinder = 18 meters

Radius = 19 meters

To Find:

Volume of the cylinder = ?

Solution:

The volume of cylinder is given as;

Volume  = π r ² h

18(3.14)19^2= 20403.72  

[RevyBreeze]

Find the equation of the linear function represented by the table below in slope-intercept form.
x: 0,1,2,3,4
y: -6,4,14,24,34

Answers

Answer:

y = 10x - 6

Step-by-step explanation:

If we know the function is linear then we can use any two coordinate pairs to find the slope of the line.

Note that the first pair is (0, -6) and the last pair is (4, 34).  The 'run' is from x = 0 to x = 4, a 'run' of 4.  The 'rise' is from -6 to34, a 'rise' of 40.  Thus, the slope of this line is m = rise / run = 40/4 = 10.

Again using the coordinate pair (0, -6), along with the slope-intercept form of the equation of a straight line, we get:

-6 = 10(0) + b, so we know that b = - 6 and that the equation of this line must therefore be:

y = 10x - 6

The required slope-intercept form of the function is y = 10x - 6.


What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
m = (y₂ - y₁) /  (x₂ - x₁)
Substitute 2 pairs from the table in the above equation,
m = (4 + 6)/(1-0)
m = 10
Now put the slope and one pair in the slope-intercept form of the equation

y - y₁ = m (x - x₁)
y + 6 = 10(x - 0)
y = 10x - 6

Thus, the required slope-intercept form of the function is y = 10x - 6

Learn more about slopes here:

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Problem ID: PRABEPM6
Find the area of a square if its side length is:
11/8

Answers

Answer:

121/64

Step-by-step explanation:

A= side × side ( side^2)

11× 11= 121

8×8=64

area= 11/8 ×11/8 = 121/ 64

Which would give you a more precise measurement: a pressure gauge that measured in pounds or a pressure gauge that measured in tenths of pounds?

Answers

Answer:

Tenths of pounds would be more accurate

Step-by-step explanation:

Help with anwser 9. Please be serious. Also explain. I’ll give a ton of points.

Answers

Answer:

B

Step-by-step explanation:

x1=-6,x2=8

Circle A has a diameter of 8 inches, a circumference of 25.12 inches, and an area of 50.24 square inches. The diameter of circle B is 3 inches, the circumference is 9.42 inches, and the area is 7.065 square inches.

Part A: Using the formula for circumference, solve for the value of pi for each circle. (4 points)

Part B: Use the formula for area and solve for the value of pi for each circle. (4 points)

Part C: What observation can you make about the value of pi for circles A and B? (2 points)

Answers

The value of pi is about 3.14, and it is the same when using both the area and circumference.

How to calculate circumference?

The circumference is given by:

Circumference = π * diameter

For circle A:

25.12 = π * 8

π = 3.14

For circle B:

9.42 = π * 3

π = 3.14

The area is :

Area = π * diameter² / 4

For circle A:

50.24 = π * (8²)/4

π = 3.14

For circle B:

7.065 = π * (3²)/4

π = 3.14

The value of pi is about 3.14, and it is the same when using both the area and circumference.

Find out more on circumference at: https://brainly.com/question/13139631

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP

Answers

Answer: (0, 6)

Step-by-step explanation:

Which of the following is an arithmetic sequence?
0, 2, 4, 6, ..
• 1, 4, 8, 13,
O 1, 2, 4, 8, ...

Answers

Answer:

0, 2, 4, 6,

Step-by-step explanation:

The common difference is 2, the first term is 0

please can anyone help

Answers

Answer:

Reflect the triangle horizontally, with y = 1 as line of symmetry

PICTURE INCLUDED PLEASE HELP
The bar representing which of the following probabilities on a histogram
would be the highest?
A.
1
10
B.
1
30
O
C.
1
15
O
26

Answers

The bar that represents the bar that would be the largest in a histogram would be 2/15.

How to identify the bar that would be largest in a histogram?

To identify the bar that would be the largest in a histogram we must take each of the options and perform the division to obtain a decimal number. Once we have all the decimal numbers, we must identify which is the largest of them and thus we will know which one would represent a larger bar in a histogram. Here is the procedure:

1 / 10 = 0.11 / 15 = 0.061 / 30 = 0.032 / 15 = 0.13

According to the above, the one that represents a larger bar would be 2 / 15 = 0.13

Learn more about histograms in: https://brainly.com/question/16819077

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Convert 15 years into weeks.
Explain please.

Answers

Answer:

15 years = ?

1 year = 52 weeks

Therefore 15 years = 15 years ÷ 1 year × 52 weeks= 780 weeks

Round 34.4678 of to two decimals​

Answers

Answer:

34.47

Step-by-step explanation:

When you need to round it off to the second decimal, you must look at the 3rd decimal place.

In this case, it's 7. If it's a number greater than 5 or 5, you must round off to the next value and if it is less than 5 or 5.

Since it is 7 in the third decimal place, the answer would be 34.47

Answer:

34.47

Step-by-step explanation:

Round to the nearest thousandths place.

=> 34.4678 [Unit place is 8, so it will round up.]

=> 34.468

     2. Round to the nearest hundredths place.

=> 34.468 [Tens place is 8, so it will round up.]

=> 34.47

Solution :-

34.47

please help me to understand

Answers

Answer:

x = 57

Step-by-step explanation:

1. Look at the expression (x + 22). It's measurement the upper side of the lines. We know that if we add up all sides, we will get a full circle, or a value of 360. We know that if I extend the blue line to the left on the upper parallel line, it would equal 180 degrees.

We can express this as x + 22 = 180. Now lets look at the bottom equation, notice that the 2x - 13 is the missing side of x + 22. So we know:

x + 22 + 2x - 13 = 180

3x + 22 - 13 = 180

3x + 9 = 180

3x = 171

x = 57

2. We can check this by plugging it into our formula. x + 22 and 2x - 13. so 57 + 22 = 79 and 2(57) - 13 = 101. Add them together: 79 + 101 = 180.

3. We know this is true because both angles combined will be to form 180 degrees. For a better understanding, view the image I sent you. 1 = 3, and 4 = 2. Opposite angles are equal. In your equation, we have 3 and 8. we KNOW that 8 = 2. And we also know that adding up 2 + 3 MUST equal 180 degrees.

I hope this helps!

True or False:

If you multiply the numerator, you have to multiply the denominator by the SAME number.

Answers

Answer:

True

Step-by-step explanation:

Jason had $6 in his lunch account at school on Monday. He spent $2 on lunch on Tuesday, deposited $7 on Wednesday and brought lunch from home. He bought lunch on Thursday for $5 and on Friday, he bought lunch again for $4. How much does Jason have on Friday AFTER he bought lunch?

Answers

Answer:

$2

Step-by-step explanation:

Credits:

Jason initial amount in his account = $6

Amount deposited for the week = $7

Total credit = $7+$6

Total credit = $13

Debit:

Cost of lunch bought on Tuesday = $2

Cost of lunch bought on Thursday = $5

Cost of lunch bought on Friday = $4

Total cost of lunch for the week = $2+$5+$4 = $11

Amount debited = $11

Balance left after he bought lunch on Friday = amount credited - amount debited

Balance = $13-$11

Balance = $2

Hence Jason had $2 balance left after buying his Friday lunch.

Last year a baseball team paid $20 per bat and $12 per glove, spending a total of
$1040. The team bought a total of 72 bats and gloves combined. How many bats and
gloves did they buy?

Answers

Answer:

2,664

Step-by-step explanation:

I just multiplied 20 and 17 by 72 and added the products together to get a sum of 2,664 which is the answer.

The school band is going to buy candy bars for $430 and sell them at school for $1.50 each. The band has to raise $1,350 to help pay for a trip. Write and inequality that represents how many candy bars x the band has to sell to make enough money for the trip.

Answers

Answer:

x = 900 or 1.50 * x = 1,350 (Though I advise you to use x = 900)

Step-by-step explanation:

Divide 1,350 by 1.50 to see that they need to sell exactly 900 bars. We can fact check by using a calculator to do the equation 1.50 * 900 = 1,350.

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