find the average rate of change of each function on the given interval f (x) = x^5 + 2x^4 + 3x - 12;(-5, -1]​

Answers

Answer 1

Answer:

x^5+2^x4+3^x+72

Step-by-step explanation:

......................


Related Questions

In rectangle ABCD, point E lies half way between sides AB and CD and halfway between sides AD and BC. If AB=3 and BC=2, what is the area of the shaded region? Write your answer as a decimal, if necessary. Do not include units in your answer.

Answers

Answer:

The area of the shaded region is 3.

Step-by-step explanation:

Since point E lies halfway between AB and BC, the area of the shaded region (As) consists of two identical triangles with base equal to AB and height equal to half the measure of BC:

[tex]A_s=2 * A_t[/tex]

Where At is the area of each triangle.

[tex]\displaystyle A_t=\frac{AB*BC/2}{2}[/tex]

[tex]\displaystyle A_t=\frac{AB*BC}{4}[/tex]

We know AB=3 and BC=2, thus:

[tex]\displaystyle A_t=\frac{3*2}{4}=\frac{6}{4}[/tex]

Simplifying:

[tex]\displaystyle A_t=\frac{3}{2}[/tex]

Finally:

[tex]\displaystyle A_s=2 * \frac{3}{2}[/tex]

[tex]A_s=3[/tex]

The area of the shaded region is 3.

Note the area of the shaded region is half the area of the rectangle.

Use the distributive property to remove the parentheses (x+12)8

Answers

Answer:

Using distributive property to remove the parentheses [tex](x+12)8[/tex] we get [tex]8x+96[/tex]

Step-by-step explanation:

We need to use distributive property to remove the parentheses (x+12)8

According to distributive property of multiplication over addition:

[tex]a(b+c)=ab+ac[/tex]

Now, using the above distributive property to solve the given question. Multiply 8 with terms inside the bracket and solving:

[tex](x+12)8\\=8x+8*12\\=8x+96[/tex]

So, using distributive property to remove the parentheses [tex](x+12)8[/tex] we get [tex]8x+96[/tex]

Which word describes the slope of the line?

positive
negative
zero
undefined

Answers

Answer:

Negative

Step-by-step explanation:

the slope in this equation is negetive as it is pointing in a downwards position.

Zero would be horizontal, undefined would be vertical and positive would be going in an upwards motion

Answer:

b

Step-by-step explanation:

aye

What are the slopes to these ? please answer

Answers

Anwser thx for points
Explation nehrhrbrjejbe

What’s the approximate value of a $12,000 car after 1 year?

Answers

Answer:

i think the aswer s 60,000

Step-by-step explanation:

Please need help thank

Answers

183.75 because if you did $1470 then divided it by 8 it would =183.75

1. What is the Potential Energy of a 6 kg object that is 10 m above the
ground?

Answers

PE = mgh
m = 6 kg, g = 9.8 m/s^2, h = 10m
6 * 9.8 * 10 = 588 J

Please help fast, I’ll mark Brainlist for correct answer!

Answers

Answer:

1.   y=2x -12

2. 2x-y=12

3.y=2/3x 11/3

Step-by-step explanation:

Pls help me don’t make fun

Answers

Please refer to the captured image for the process and the answer. (Ignore the graph)

There are 43 children at a school. They want to make teams with 6 children on each team for kickball. Two of the children go home. How many complete teams can they make? Explain.

Answers

Answer:

6 teams

Step-by-step explanation:

They can only make 5 teams with 8 kids on each. 1 child will remain

Evaluate f(x)= -3x+8 at the following values.


Box #1: x=3


Box #2: x=0


Box #3: x=-2
High school idk why it says college

Answers

Answer:

Box 1= 1

Box 2 =-8

Box 3= -2

Step-by-step explanation:

Plug in the numbers that are provided where you see x

-3(x) +8    x=3

Can a quadratic have one real and one non real root

Answers

Answer:

Yes, it is possible. We already know that complex roots exist in conjugate pair but the case is true only when the equation has real coefficients. But on the other hand, if the equation has complex coefficients, then it is possible to attain one real and one complex root.

Solve the inequality 2 (x - 2) +8.6 < 14.​

Answers

Answer:

x<4.7

Step-by-step explanation:

2(x-2)+8.6<14

2x-4+8.6<14

2x=4.6<14

2x<14-4.6

2x<9.4

_____

x<4.7

                                mom said its my turn to be brainliest answer ;0

                                also, help me on my math hw maybe ?

Answer: x < 4.7

Step-by-step explanation:

Cara has saved $4,000 to buy a car. Rick wants to buy a new television set. He has saved 1/10 as much as Cara. How much has Rick saved?

Answers

Answer:

Step-by-step explanation:

4000*1/10= $400

A radius of 8.5m what is the area

Answers

Answer:

22/7 * 8.5 * 8.5 = answer

Answer:

Step-by-step explanation:

A = π r² ≈ 3.14 × (8.5)² = 226.865 m²

What is 2 1/2 feet to inches?

Actual question:
1 foot=12 inches
2 1/2 feet= blank inches


IREADY!!
thanks :)

Answers

Answer: 30 inches

Explanation: since there is 2 feet you do 12x2. This gives you 24. Then since there is a half foot and a half foot is equal to 6 inches you add that to your 2 feet (24 inches) to get 2 1/2 feet or 30 inches. Hope this helps have a nice day!!!

Seema deposited $800 in a saving account earning 2.88% compounded annually. To the nearest cent, how much will she have in 16 years? Do not include the dollar sign in your answer.​

Answers

Answer:

1260.04

Step-by-step explanation:

The formula for compound interest is:

A = P(1+[tex]\frac{r}{n}[/tex][tex])^{nt}[/tex] where A is the final amount, P is the initial principal balance, r is the interest rate, n is the number of times interest applied per time period and t is the number of time periods elapsed. Since the deposit was compounded annually, just like the interest, we can omit the n in the equation.

Applying the formula to question:

800(1+[tex]\frac{2.88}{100}[/tex][tex])^{16}[/tex] = 1260.04 (rounded off to nearest cent since it's money)

X-(-5) = 10

x=

help me​

Answers

Answer:

X-(-5) = 10

x+5=10

x=10-5

x=5

X-(-5) = 10

-negative sign and -negative sign= +positive sign

X+5=10

move +5 to other side to get X by itself

sign changes from +5 to -5

X+5-5=10-5

X=10-5

X=5

answer: X=5

20. A store offers a discount of 10% to customers
who spend more than $20. If a customer's
total bill was $80, what will he actually pay?
A. $60
B. $70
C. $72
D. $74

Answers

The answer is C. $72
First, you need to find 10% of $80. You do this by turning 10% into a decimal. This is 0.1. Multiply 80 x 0.1
This is 8, or $8.

Since it is a discount, you need to subtract from 80. So do 80-8.

This gives you 72.
Therefore, your answer is C, $72

I hope this helps! Happy Thanksgiving!



For f(x) =1/x^2-3

find:

(a) f(3) (3 points)

(b) f(2+h) (3 points)

Answers

Answer:

[tex]f(3) = \frac{-26}{9}[/tex]

[tex]f(2 + h) = \frac{- 11 - 12h - 12^2}{4 + 4h + h^2}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{x^2} - 3[/tex]

Required

Find f(3) and f(2 + h)

Solving f(3)

Substitute 3 for x in [tex]f(x) = \frac{1}{x^2} - 3[/tex]

[tex]f(3) = \frac{1}{3^2} - 3[/tex]

[tex]f(3) = \frac{1}{9} - 3[/tex]

Take LCM

[tex]f(3) = \frac{1 - 27}{9}[/tex]

[tex]f(3) = \frac{-26}{9}[/tex]

Solving f(2 + h)

Substitute 2 + h for x in [tex]f(x) = \frac{1}{x^2} - 3[/tex]

[tex]f(2 + h) = \frac{1}{(2 + h)^2} - 3[/tex]

[tex]f(2 + h) = \frac{1}{(2 + h)(2 + h)} - 3[/tex]

[tex]f(2 + h) = \frac{1}{4 + 2h + 2h + h^2} - 3[/tex]

[tex]f(2 + h) = \frac{1}{4 + 4h + h^2} - 3[/tex]

Take LCM

[tex]f(2 + h) = \frac{1- 3(4 + 4h + h^2)}{4 + 4h + h^2}[/tex]

[tex]f(2 + h) = \frac{1- 12 - 12h - 12^2}{4 + 4h + h^2}[/tex]

[tex]f(2 + h) = \frac{- 11 - 12h - 12^2}{4 + 4h + h^2}[/tex]

GIVING OUT BRAINLIST
ASAP

find the sales price:
$89.95 DVD Player, 5% discount.


(Round your number to the nearest cent (hundredths place)

Answers

Sales = 89.95 x .05
= 4.4975

89.95 - 4.4975 = 85.45

The sales price is $85.45.
(Also i love the pfp and username!)

y = 3x - 12x +9
In standard form?

Answers

Answer:

y=-9x+9

Step-by-step explanation:

There are only two like terms in the equation which I have underlined.

y= 3x - 12x +9

To simplify it, you combine the like terms and get your equation in standard form.

PLEASE HELP MEHH!!!!!
Select the coordinates of two points on the line y = −2. (2 points)

A. (2, −2) and (−2, 2)
B. (−2, −2) and (−2, 0)
C. (2, −2) and (0, −2)
D. (−2, 2) and (−2, −2)

Answers

Answer:

C.) (2,-2) and (0,-2)

Step-by-step explanation:

The coordinates would have to have y values of -2, because the line plotted only has y values of -2

Answer:

C.

Step-by-step explanation:

A birdbath is filled to the top. On Day 1, the volume of water in the bowl decreases by 7/8 cup. On Day 2, the volume in the bowl decreases by 3/4 cup. What number represents the total change in the volume of water in the bowl after two days? Write your answer as a mixed number.

Answers

Answer:

-1 5/8

Step-by-step explanation:

Let the total amount in the bowl be x;

If on Day 1, the volume of water in the bowl decreases by 7/8 cup, the remaining water will be;

x - 7/8

If on day 2, the volume in the bowl decreases by 3/4 cup, the remaining volume of water after the second day will be;

= x - 7/8 - 3/4

= x - (7-2(3))/8

= x - (7+6)/8

= x - 13/8

This shows that the total change after the two days is -13/8

As a mixed fraction;

-13/8 = -1 5/8

Consider the composite function g(F(x)) = x square root of 6.
If f(x) = 3x2, what is g(x)?


Answers

Answer:

g(x) = √(2x)

Step-by-step explanation:

f(x) = 3x^2

g(f(x)) =√6x

g(3x^2) = x√6

g(x) must be √(2x)

because if we  substitute  x = 3x^2 in this we get

(√2(3x^2))

= √2√3√(x^2)

= √6 x

Solve the following inequality 5x-60>8x

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]5x - 60 > 8x[/tex]

[tex]8x < 5x - 60[/tex]

Subtract sides 5x

[tex] - 5x + 8x < - 5x + 5x - 60[/tex]

[tex]3x < - 60[/tex]

Subtract sides 3

[tex] \frac{3x}{3} < \frac{ - 60}{3} \\ [/tex]

[tex]x < - 20[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer: The answer is x<–20.

Step-by-step explanation: Let’s solve the inequality step by step.

• Step 1 Subtract 8x from both sides. Do the rest of the step by step of the following inequality.

the length of a triangle is 3 centimeters less than twice its width its area is 35 square centimeters find the dimensions of the rectangle use formula area=length*width the width is ?_ the Length is?_

Answers

[tex] \LARGE{ \underline{ \tt{Required \: answer:}}}[/tex]

We have:

The length of a triangle is 3 centimeters less than twice its width.Area = 35 cm²

We need to find:

Dimensions of the rectangle?

Solution:

Let the width be w. Then the length would be:

➝ Length = 2(width) - 3

➝ l = 2w - 3

Area of rectangle: l × b

➝ Length × width = 35 cm²

➝ (2w - 3)w = 35

➝ 2w² - 3w - 35 = 0

Now finding value of x by middle term factorisation,

➝ 2w² - 10w + 7w - 35 = 0

➝ 2w(w - 5) + 7(w - 5) = 0

➝ (2w + 7)(w - 5) = 0

Hence,

w = 5 because width can't be negative.l = 2(5) - 3 = 7

Therefore,

Width = 5 cmLength = 7 cm

⛱️ [tex] \large{ \blue{ \bf{FadedElla}}}[/tex]

let x represent the rectangle's width;

thus;

Width = x

Length = 2x - 3

Area = 35 sq. cm.

Area = Length × Width

35 = (2x - 3)(x)

35 = 2x^2 - 3x

2x^2 - 3x - 35 = 0

Factorizing:

x = 5 or -3.5

but width is a scalar quantity and cannot be negative:

Hence:

Width = 5 cm.

Length = 2(5) - 3 = 7 cm.

6x = 41

x = 7 to the nearest whole number.

Width = 7 cm.

Length = 2(7) - 3 = 11 cm.

I am rin pre-K and there givrung us math I can’t doe

Answers

Answer:

since your in pre-k bud x+y+z = abc :)

Step-by-step explanation:the alphabet ends in xyz so it only makes sense for the answer to be abc

this is totally correct:)

through: (-2,-5), parallel to y = x + 3

Answers

Answer:

No,

Step-by-step explanation:

Guess why

If you do x = - 2

Then y become 1,

Which is not matched to

-5

Darryl said that -32 and (-3)2 have the same value? Do you agree with Darryl? Yes or no? Explain your response.

Answers

Answer:

Step-by-step explanation:

Yes

Answer:

Step-by-step explanation:

No, I don't agree with Daryl. If you multiply -3 by 2, you will get -6. -6 is not equal to -32, which means that they don't have the same value, so Daryl is wrong.

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