What is the average rate of change of y with respect to x over the interval [-2, 6] for the function y = 5x + 2?

Answers

Answer 1

Answer:

5

Step-by-step explanation:

Average rate of change is slope, which is change in y over change in x:

[tex]\frac{[5(6)+2]-[5(-2)+2]}{6-(-2)} =\frac{32-(-8)}{8} =5[/tex]

Answer 2

The average rate of change of the function is 5.

What is the average rate of change of a function?

The sum of the change in the function values (output values) divided by the change in the input values is the average rate of change between two input values.

The given interval is [-2,6] and the given function is f(x) = y = 5x + 2.

The value of the function for x = 6 is:

f(6) = 5(6) + 2

f(6) = 32

The value of f(x) for x = -2 is:

f (-2) = 5(-2) + 2

f(-2) = -10 + 2

f(-2) = -8

The average rate of change of the function is given by:

( f(6) - f(-2) )/ (6 - (-2))

= ( 32 - (-8))/ (6 + 2)

= ( 32 + 8)/8

= 40/8

= 5

Hence, the average rate of change of the function is 5.

Learn more about the average rate of change:

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Related Questions

The dot plot shows the lengths of the 12 trailers sold at a store last month. What statement about the data is true ? A. The interquartile range is 7 , and the range is 17 B The interquartile range is 7, and the range is 11 C The interquartile range is 2.75 , and the range is 17 D The interquartile range is 2.75 , and the range is 11

Answers

I think is D

PLEASE MARK ME AS BRAINLIEST

Name the polynomial by degree and number of terms.
X3 - 3 + 9x5 - 6x4
quintic polynomial
cubic polynomial
O quadratic polynomial
O quintic trinomial

Answers

ok this is hard math

Help me with the lesson performance task please !!!!

Answers

I believe you could write B(p) =100-20p
Where 100 is her starting amount and each payment takes out 20 dollars

If fx)= 6x-4, what is fx) when x= 8"
A 2
B 16
C 44
D 52​

Answers

Since x = 8, you would need to plug in 8 into the x.

f(x) = 6x - 4

f(x) = 6(8) - 4

f(x) = 48 - 4

f(x) = 44

So, the correct answer would be C. 44

Calculate (4.3 x 108 ) + (2.5 x 107).
Give your answer in standard form.

Answers

Solutions Solving Steps (4.3xx 108)+ (2.5x×107) Calculate (464.4x)+(267.5x) Rewrite Remove the parentheses 464.4x+ 267.5x Collect like terms Solution 731.9x

Does her equation make sense? If so, explain why her
equation must be true. If it is not correct, determine what is incorrect and
rewrite the equation.

Answers

Yes , the equation make sense because right angle is 90 degree. Also two angles make up 90 degree

20. Rectangle ABCD is transformed to create rectangle EFGH. What sequence of
transformations maps one to the other? Select all that apply.

a. Reflect over the y-axis, then reflect over the x-axis
b. Rotate 180° about the origin, then translate up 4 units
c. Translate down 4 units, then rotate 180° about the origin
d. Translate 4 units to the right, then rotate 180° about the origin

Answers

Answer:

B

Step-by-step explanation:

rotate 180 --> translate up by 4:  (x,y)--> (-x,-y) --> (-x,-y +4)


A box of baseball cards is $25.00 with %15 off. What is the sale price of the box of cards? In other words, how much is it after
take the discount off)

Answers

Answer:

21.25

Step-by-step explanation:

you would multiply 25 by 0.15 to get the percent being taken off then subtract that from your original price

12 divided by 3 +6 times 2 simplified

Answers

Answer:  I believe the answer is 16 hope this helps

Step-by-step explanation:

Step-by-step explanation:

3 + 6 = 9

9 x 2 = 18

12/18 = 0.66 repeating

0.66 repeating >> simplified >> 2/3

**Please mark brainliest :))

A delivery service defines a "package" as a parcel for the sum of the length and the girth is less than 70 in (length is the longest side of the package and the girth is the distance around the other two sides of the package) a box has a fixed girth of 24 in. Determine those lengths for which the box is considered a "package"​

Answers

Answer:

Between 0 and 46 in

Step-by-step explanation:

As per definition of the package

g + l < 70 in, where g- girth and l- length

Given the value of g

g = 24 in

So the value of l should be

24 + l < 70l < 70 - 24l < 46 in

To be considered a package the length to be less than 46 in

I’m not really understanding this and could use some help.

Answers

Answer:

I believe the answer should be C

Please help legit things only or you get banned thanks!!!!!!!!!!!!!

Answers

it’s c, because angles a and b are complementary, which would mean the sum would have to be 90.

Round to the nearest tenth.
4.8367

Answers

Answer:

Number = 4.8367

Rounded to the nearest tenth means, rounded to the number after the decimal point.

We will have to round down because the hundredth is less than 5

So, we get,

4.8367 becomes, 4.8

Therefore 4.8367 rounded to the nearest tenth = 4.8

If my answer helped, kindly mark me as the Brainliest!!

Thank You!

The number 4.8367, when rounded to the nearest tenth, becomes 4.8

What is rounding a number to some specific place?

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

The digit 5 acts as a limit.

if the right sided digit to the digit where we've to round off is < 5, we keep it same and make all right sided values 0, and if the right sided digit  is > 5, then we make it increase by 1 and rest of the right sided digits become 0. If the digit on right is 5, and after it there is only zeros or no value, then we round up (increase by 1, as we did in 347500 -> 34800 ) (Well there are many detailed rules of rounding)

Rounding to the nearest tenth means rounding the first place to the right of the decimal point.

The given number is 4.8367

The digit on the right of the decimal point is 8. On the right of that, there is 3, which is < 5, so the first right digit on right of the decimal point, after rounding, will have no change,and rest of the numbers from the right first place of the decimal point will get trimmed off.

Thus, we get:

4.8367 → 4.8 (after rounding to the nearest tenth)

Thus, the number 4.8367, when rounded to the nearest tenth, becomes 4.8

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Express each number as a single-digit integer times a power of 10.
24,755,183,009,522

Answers

2 to the 12th power should be correct

HEY CAN ANYONE PLS ANSWER MY MATH QUESTION RQ!!!!!!!1

Answers

Answer:

6 in, 8 ft

Step-by-step explanation:

3. Area of triangle

A= 1/2bh24 = 1/2*8hh = 6 in

4. Number of bricks

n = 7lh1568= 7*28hh = 1568/(7*28)h = 8 ft

Answer:

192

Step-by-step explanation:

for question 3

Because

Area=Length=With

Jack is walking on a trail and comes to mile mark 5. If he continues walking for another mile, what is the next mile marker he will come to"? This problem has to possible solutions. ​

Answers

Answer:

I would say 6 or 4, if we don't know which direction he is walking

A square patio has a perimeter of (8x + 28) feet. What is the length of the patio?

Answers

2x+12 sorry if wrong

Which is greater
4.87 x 109 or 9.212 x 1087

Answers

Answer:

9.212 x 1087

Step-by-step explanation:

9.212 x 1087=10013.444

4.87 x 109=530.83

Answer:

The seconds one

Step-by-step explanation:

It equals more

69
8. The sum of three consecutive even numbers is 138. Find the
numbers.

Answers

Answer:

44, 46, 48

Step-by-step explanation:

Answer:

x=45

Step-by-step explanation:

x+x+1+x+2=138

3x+3=138

3x=138-3

3x=135

6th grade math help me plzzzzz

Answers

the answer is -3. you just have to add

Answer:

answer =  ⁻3

Step-by-step explanation:

help me please and please respond

Answers

Answer:

its eather A or B more likely A

Step-by-step explanation:

plz give brainliest

The slopes of lines PQ and P'Q' can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction The product of these slopes is ________. This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.

Answers

Answer:

100%  (A)

Step-by-step explanation:

I got it right on da test ..believe me Foh

Answer:

Ayo the answer is A, yo!

Step-by-step explanation:

Who’s is a graph Line with a negative slope and positive y-intercept

Answers

Answer:

The second one

Step-by-step explanation:

if y is directly proportional to x and y = 56 when x = 8 what is the value of y when x = 13

Answers

Answer:

y=91

Step-by-step explanation:

if x=8 when y=56,we can make a formula like this(y=7x) &then we can solve easly

y=7x

y=7*13

y=91

i hope helps you

Which of the following linear equations is in standard form? A. 3x + 2y = 3 B. 2y = 3x - 2
C. y = 3x - 2 D. 3x + 2y - 2 = 0​

Answers

Answer: A

Step-by-step explanation: The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y).

Doughnuts are sold in bags and cartons.
A bag hold 4 doughnuts and a carton holds 10 doughnuts
Tom buys B bags and C cartons of doughnuts.
He buys a total of T doughnuts.
Write down a formula for T in terms of B and C

Answers

Answer:

t = b4+c10

Step-by-step explanation

4 times however how many bags

10 times however how many cartons

the person above me is correct!!!(:

At Petey's Pizza, two large one-topping pizzas and three dozen wings cost $54. Four large one-topping pizzas and one dozen wings cost $48. Let (L) represent the number of large one-topping pizzas, and let (W) represent the number of dozens of wings. Write a system of equations you could use to find the cost of a single one-topping pizza and a dozen wings.

Answers

Answer:

2L + 3W =54

4L + W = 48.

Step-by-step explanation:

Given

L = Large one-topping Pizzas

W = Dozen Wings

From the first statement; we have that:

2L and 3W cost $54.

The expression for this is:

2L + 3W =54

From the second statement; we have that:

4L and 1W cost $48.

The expression for this is:

4L + W = 48.

Hence; The system of equations is

2L + 3W =54

4L + W = 48.

The formula for the circumference of a circle is C=2πr. What is the radius of a circle with a circumference of 22 cm?

Answers

Answer:

3.5cm

Step-by-step explanation:

Tony needs to purchase 3,600 oz of vegetable oil for his catering business. For the containers shown in the table, how much would he save by purchasing those with the lowest unit price than those with the highest unit price?
Total amount at lowest price:
Total amount at highest price:
Amount saved:

Answers

Answer:

Total amount at lowest price: $936

Total amount at highest price: $1,224

Amount saved: $288

Step-by-step explanation:

Answer:

Total amount at lowest price:  

✔ $936

Total amount at highest price:  

✔ $1,224

Amount saved:  

✔ $288

Which is the minimum or maximum value of the given function?

A.
The function has a minimum value of -4.
B.
The function has a maximum value of -4.
C.
The function has a maximum value of -3.
D.
The function has a minimum value of -3.

Answers

Answer:

The function has a minimum value of -4.

Step-by-step explanation:

i got it right

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