What is the average rate of change of the function f(x)=4x^2+3x on the interval [1,5]

Answers

Answer 1

Answer:

7, though I don't know if it's 100% correct. I tried to help.

Step-by-step explanation:

f(x) = 4x^2 + 3x interval [1,5]

f(1) = 4(1)^2 + 3(1)

f(1) = 4 + 3

f(1) = 7

Answer 2

Answer:

[tex]\boxed {\boxed {\sf 27}}[/tex]

Step-by-step explanation:

The average rate of change is the change in the output from one input to another. Essentially, it is the change in y over the change in x.

[tex]\frac {\Delta y}{\Delta x} = \frac { f (x_2)- f(x_1) }{x_2-x_1}[/tex]

Let's assign 1 to x₁ and 5 to x₂.

[tex]\frac {f(5)-f(1)}{5-1}[/tex]

We must find the outputs f(5) and f(1). Substitute the value in for each x in the function.

f(x)= 4x² + 3x

f(5) = 4(5)² + 3(5) f(5)= 4(25) + 15 f(5) = 100 + 15 =115

f(1)= 4(1)² + 3(1) f(1)= 4(1) + 3 f(1)= 4+ 3 =7

Now we can find the average rate of change. We know the outputs and we know the inputs.

[tex]\frac {f(5)-f(1)}{5-1}[/tex]

[tex]\frac {115 -7}{5-1}[/tex]

[tex]\frac {108}{4}[/tex]

[tex]27[/tex]

The average of change of the function f(x) = 4x² + 3x on the interval [1,5] is 27.


Related Questions

There are 48 people in the stands cheering for ——— at the volleyball game and they are wearing white and maroon shirts. The ratio of marron to white is 5:3. How many people were wearing white shirts?

Answers

3 beacuse it says the ratio is maroon to white meaning that 3 is white

Owen had 8,452 books donated to our school. If he shares with with 23 classes about how many books does each class get?

Answers

Answer:

how many kids are in each class though

y=-2x
y=-x
y=6x
positive or negative??​

Answers

Answer:

Positive i s the correct answer.

I hope it will work out

**PLEASE HELP ME**
its pre calc !

Answers

Answer:

  a32 = -80

Step-by-step explanation:

The generic term of an arithmetic sequence is ...

  an = a1 +d(n -1)

Using the supplied values for an and n, we can write two equations that can be solved for a1 and d.

  -221 = a1 +d(79 -1)

  -14 = a1 +d(10 -1)

Subtracting the second equation from the first, we have ...

  -221 -(-14) = (a1 +78d) -(a1 +9d)

  -207 = 69d . . . . . simplify

  -3 = d . . . . . . . . . . divide by the coefficient of d

Then the value of a1 can be found as ...

  -14 = a1 +(-3)(9) . . . . substitute for d in the second equation

  13 = a1 . . . . . . . . . . . add 27

__

Using our formula to find the 32nd term, we have ...

  an = 13 -3(n -1)

  a32 = 13 -3(32 -1)

  a32 = -80

The 32nd term of the sequence is -80.


Please answer for me

Answers

Step-by-step explanation:

sin b= opposite/hypotenuse

sin b = 60/61

60/61

sin = opposite/hypotenuse

The opposite of b is opposite
The hypotenuse is always 61

Hope this helps

Find angles x and y.

I really need this as fast as possible, is it alright if u can help?

Answers

Answer:

x=62, y=62

Step-by-step explanation:

the diagonal line to the 62 angle and the diagonal line towards the left of the x angle are parallel and so are the two horizontal lines. we know angle 3 is 62 now, so y= 180 - 46 - 62 = 72

by alternate interior angles, y=angle 2 and angle2=x so x=72

is it an inverse or a reciprocal? Pls help ASAP!!!

Answers

Answer:

An inverse of a fraction is a reciprocal of a fraction. In other words, flipping the numerator and denominator provides the reciprocal of fraction. For example, the reciprocal of fraction 3/5 is 5/3.

Step-by-step explanation:

What is the value of ? show your work help please.​

Answers

Answer:

Step-by-step explanation:

[tex]\frac{25}{20}=\frac{30}{4x-4}\\\frac{30}{1.25}=4x-4\\x=7[/tex]

Answer:

x = 7

Step-by-step explanation:

I'm assuming ΔJKL and ΔMNP are similar as you wouldn't be able to solve it otherwise. ∠J≅∠M and ∠K≅∠N, so I assume its just a poorly formed question.

With that assumption made, if 2 triangles are similar, the scale factor on all sides are equal. That means this:

[tex]\frac{JK}{MN} =\frac{JL}{MP}[/tex]

The scale factor is just the new length divided by the old length, and that equation shows the scale factor on both of those side lengths are the same. With 3 of the 4 side lengths, you can plug those values in and solve for the last unknown.

[tex]\frac{25}{30} =\frac{20}{4x-4}[/tex]

I use cross multiplication here:

[tex]25(4x-4)=20(30)\\100x-100=600\\100x=700\\x=7[/tex]

HURRY! THIS IS OVERDUE!

Pls help! I will mark brainliest!! No links, no stealing points, and only correct answers!!! I will report nonsense answers!!!

In which table does y vary directly with x?

Answers

Answer:

Answer is D

Step-by-step explanation:

The equation for D is y = x · 4

X      | Y

1 · 4 = 4

2 · 4 = 8

3 · 4 = 12

So Y varies directly with x in table D

if i get 1 pack of pepsi bottles 8-pack how much would it be if it i can get 3 for $12.88?

Answers

Answer:

38.64

Step-by-step explanation:

If 3 = 12.88

Then Just do 12.88+12.88=25.76 which also equal 6. Then 12.88/2=6.44

so 25.76+6.44+6.44=38.64

Therefore it would be 38.64.

I'm not sure but base on the math above I think the answer is 38.64

Solve the equation for x.

x-8 = 2​

Answers

Answer:

x=10

Step-by-step explanation:

In a random sample of 520 adults, the mean was 150 and the standard deviation was 4. 5. The study was reported with a 95% confidence level, and the confidence interval for the study was 150 ± 0. 39. What range of values shows the confidence interval for the study? 146. 1 to 153. 9 149. 61 to 150. 39 150 to 150. 39 150 to 153. 9.

Answers

Using the principle of confidence interval, the range which shows the confidence interval of the study is (149.61 ; 150.39)

The confidence interval is defined thus :

150 ± 0. 39

Lower boundary = 150 - 0.39 = 149.61

Upper boundary = 150 + 0.39 = 150.39

Therefore, the confidence interval for the study would be (149.61 ; 150.39)

Learn more : https://brainly.com/question/25562438

1+1
This is pretty easy I know

Answers

Answer: 2

Step-by-step explanation: i dont even need to explain

Answer:

2

Step-by-step explanation:

one apple plus one apple gives you two apples :)

y+x=1 2x+y=5 x+y=5 solve

Answers

Answer:

x=5-y

Step-by-step explanation:

Choose the mixed number that has not been reduced to simplest form.
7 14/18
5 5/6
5 7/12
4 2/5

Answers

Hello there!

7 14/18 is the mixed number that has not been reduced to simplest form.

We can divide the numerator and denominator by 2 to reduce the fraction:

7 7/9

The answer is Option A. Hope this helps!

~Just a cheerful gal

#CarryOnLearning

[tex]SilentNature[/tex]

Cindy just became a personal trainer and is finalizing her pricing plans.

Answers

That’s great for Cindy :)

Answer:

Nice

Step-by-step explanation:

11. Consumer Math A store has apples on sale at $3.00 for 2 pounds.
a. How many pounds of apples can you buy for $9. Explain your answer

Answers

Answer:

6 pounds

Step-by-step explanation:

3$ for 2 pounds

9$ has three 3$

9 ÷ 3 = 3

Then multiply it to 2 pounds.

3 x 2 = 6

That's how we get the 6 pounds.

Kolby decided he wanted to go to the amusement park. The amusement park charges $8.00 for entry and $1.40 for each ride.
Part A Write an expression to represent this scenario where r represents the number of rides.

Part B Create and solve an equation to determine how many possible rides Deniss can ride if his parents gave him $26.00
Show your work.

Answers

Part A: y=mx+b where m is the slope and b is the constant. $8 for entry is the constant, at is wont change during our equation. $1.4 is our slope as its the cost per ride. r is going to be our x. So our equation will be 1.40r + 8

Part B: Now that we know the amount of money, we can place the $26 for y. So lets solve now with our new equation of:

26 = 1.4r + 8

26 - 8 = 1.4r

18 = 1.4r

18 / 1.4 = r

12.85 = r

Obviously he cant ride 12.85 rides. Typically we round up, but to say he rides 13 rides means he has to have $26.2, which we know he does not have. Therefore, we say that he can ride 12 rides.

Quick math check:

1.4(12) + 8 = $24.8 which is less then $26.

I hope this helps! :)

Ruth wants to purchase a new video game that costs $59.00 and several bags of chips that sell for $1.99 each. She can spend no more than $75.00. Which inequality and its solution represents her possible purchase?

Answers

Answer:

1.99c + 59 ≥ 75, where c ≥ 8.04

Step-by-step explanation:

Can someone help me with this please?

Answers

Answer:

Step-by-step explanation:

PLEASE HELP
What is the explicit formula for this sequence?
-6, -2, 2, 6, 10, ...

Answers

^ an = (-6) + (n-1)4

what's the power. ......​

Answers

Answer:

Rate of DOING WORK is called power

-12p^18 i think… im not sure though but you just add the powers and p to the power of nothing is 1

some one please
change the subject to x
a+b​/x=r​

Answers

A+b = r*x

A+b/r = x
Cbcddhdmghn

Answer:

X = b(r - a)

Step-by-step explanation:

b/x = r - a

X = b( r - a)

2. Rich and Betsy Cuik started a small business. They manufacture a
microwavable coffee-to-go cup called Cuik Cuppa Coffee. It contains
spring water and ground coffee beans in a tea-bag-like pouch. Each
cup costs the company $1.00 to manufacture. The fixed costs for this
product line are $1,500. Rich and Betsy have determined the demand
function to be q = -1,000p + 8,500, where p is the price for each cup.
a. Write the expense equation in terms of the demand, q.
b. Express the expense equation found in part a in terms of the
price,p.
c. Determine a viewing window on a graphing calculator for the
expense function. Justify your answer.
d. Draw and label the graph of the expense function.
e. Write the revenue function in terms of the price.
f. Graph the revenue function in a suitable viewing window. What
price will yield the maximum revenue? What is the revenue at
that price? Round both answers to the nearest cent.
g. Graph the revenue and expense functions on the same coordinate
plane. Identify the points of intersection using a graphing calcula-
tor. Round your answers to the nearest cent. Identify the price at
the breakeven points.
I

Answers

Answer:

Step-by-step explanation:

A) 1.00q+1,500

E=1.00q+1,500

The costs are $1.00 per cup and $1,500.

Let E represents the total cost.

Let q be the demand (number of cups).

Then the total cost is the product of the costs per cup of $1.00 multiplied by the number of cups, increased by the fixed costs of $1,500

Write the slope- intercept form of the equation

Answers

Answer:

y = -3/4x + 1

Step-by-step explanation:

which one is correct and if you chose a,b,c,d explain why
a
b
c
d

Answers

Answer:

A. √150

Step-by-step explanation:

12² = 144

13² = 169

The only value of any of the options falling between 12 and 13 is √150

A.AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA

Please help I’m giving extra points

Answers

She can tell by looking at all the possible solutions. Due to the fact that she can solve this equation multiple ways, Elana knows that there are many solutions to this problem.

I hope this helps! :)

Solve. −4x−21=91 Enter your answer in the box. x =

Answers

Answer:

X = -27

Explain your answer:

Answer:

x = -28

Explanation

K12

enumerate all the given.

if 15,000 pesos is deposited in an account that pays 5% compounded annually, How much will be in the account after 8 years?​

Answers

Answer:

22161.83 pesos

Step-by-step explanation:

Given:

Deposit P = 15000Rate of interest r = 5% = 0.05Compound number n = 1Time t = 8

Amount after 8 years:

A = P(1 + r)^tA = 15000(1 + 0.05)^8 = 22161.83

Rate of interest=r=0.05

So

Amount

P(1+r)^t15000(1+0.05)⁸15000(1.05)⁸22161.83 pesos

Estimate the r- value for each scatterplot

Answers

I forgot how to do it sorry bro
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