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.


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Step-by-step explanation:


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Step-by-step explanation:

sin b= opposite/hypotenuse

sin b = 60/61

60/61

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Step-by-step explanation:

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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)

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  -221 -(-14) = (a1 +78d) -(a1 +9d)

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

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__

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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]

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)

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Answer:

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Answers

Answer:

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Amount after 8 years:

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

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So

Amount

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Answers

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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11. Consumer Math A store has apples on sale at $3.00 for 2 pounds.
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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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That’s great for Cindy :)

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Answers

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Answers

Answer:

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Explain your answer:

Answer:

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K12

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Answer:

Step-by-step explanation:

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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.

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Step-by-step explanation:

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2. Rich and Betsy Cuik started a small business. They manufacture a
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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
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c. Determine a viewing window on a graphing calculator for the
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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
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that price? Round both answers to the nearest cent.
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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

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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! :)

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

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

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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! :)

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