Describe how to determine the average rate of change between x = 2 and x = 5 for the function f(x) = 2x3 + 4. Include the average rate of change in your answer.

Answers

Answer 1
Answer: The average rate of change is 56.

Given that, f(x)=2x^+1

We need to determine the average rate of change between x=2 and x=4 for the function.

Related Questions

The data set below shows a relationship between the number of hours tara works and her paycheck:{ 1, 25), (2, 40), (3, 55), (4, 70), (5, 85), (6, 100) what is Tara's hourly pay rate?

Answers

Step-by-step explanation:

Need to find out total hours and total pay and simplify the answer.

Total Hours = 1+2+3+4+5+6 = 21

Total Pay = 25+40+55+70+85+100 = 375

Pay ÷ Hours = 375 ÷ 21 = 17.86

Not convinced with this answer tbh but it's what I got.

Using Converting The Percentages First Into Fractions, Determine The Following

a) 10% of 120
b) 25% of 16
c) 30% of 20
d) 40% of 25
e) 75% of 48
f) 60% of 140
g) 90% of 50
h) 12.5 of 32​

Answers

Answer:

a)12

b)4

c)6

d)10

e)36

f)84

g)45

h)4

Brandon just got a job at a restaurant. He worked 7 hours and got paid $63. He earns the same amount each hour. How much did Brandon make each hour. In complete Sentence

Answers

Answer:

Brandon will make 9 dollars an hour while he works at the resturant

Step-by-step explanation:

63/7=9

Hi!

If he got paid $63 an hour, and he worked 7 hours, we just have to simply divide 63 by 7.

7 goes into 63 nine times, therefore he makes $9 per hour.

Hope this helps and let me know if you need any other help! :D

A family visits a car show to research information on vehicles they might consider purchasing. Brochures for each vehicle provide helpful information for the vehicle. Which of the following is an example of a continuous quantitative variable that might be included in the brochure

A.number of seats
B.type of transmission
C.presence of a sunroof
D.fuel efficiency (in mpg)

Answers

Answer:

Its Number of Seats

Step-by-step explanation:

A square that measures 2 inches by 2 inches.
What is the perimeter of the square?

Answers

Answer:

8

Step-by-step explanation:

this is because a square has 4 and one side has a measurement of 2in

so you would and all the sides (2+2+2+2) which will give you an answer of 8

68 is 40% of what number?A.17 B.136 C.170D.270

Answers

Answer:

C. 170

Step-by-step explanation:

68/4=17

17 is 10% of the unknown number

17 times 10 is 170

Answer:

C. 170

Step-by-step explanation:

68 is 40% of what number?

A.17

B.136

C.170

D.270

68 : 40 * 100 = 170

During a sale, a store offered a 15% discount on a camera that originally sold for $690. After the sale, the discounted price of the camera was marked up by 15%. What was the price of the camera after the markup? Round to the nearest cent.

Answers

Answer:674.475

Step-by-step explanation:

(690)(0.15)= 103.5

690-103.5= 586.5 (after first markdown)

(586.5)(0.15)= 87.975

586.5+87.975 (Final price after markup)

Pat is required to sell candy bars to raise money for the 6th grade field trip. There is a 40%
chance of him selling a candy bar at each house. He has to sell 5 candy bars in all. Let X be
of number of houses it takes.
i. Name distribution (with parameter(s)) of X.
ii. What is the probability he sells his last candy bar at the 11th house?
iii. What is the probability of Pat finishing on or before the 8th house?

Answers

Probabilities are used to determine the chances of events.

The given parameters:

[tex]n = 5[/tex] ---- the number of candy bars

[tex]p = 40\%[/tex] ---- the probability of selling a candy bar

(a) Name distributions

The distribution of X is represented as:

[tex]X \sim(r,p)[/tex]

Where:

[tex]r = 5[/tex]

[tex]p= \frac{5\times 40\%}{10}[/tex]

[tex]p= 0.2[/tex]

So, the name distribution of X is [tex]X \sim(r= 5,p = 0.2)[/tex]

(b) The probability that the last candy is sold at the 11th house

This means that:

[tex]n = 10[/tex] --- the number of previous houses

[tex]r = 4[/tex] --- the previous number of candies

[tex]p = 0.4[/tex] --- the given probability of selling a candy

The probability is calculated using:

[tex]P(x = n+1) = ^{n}C_r \times p^{r +1} \times (1 - p)^{n-r}[/tex]

This gives

[tex]P(x = 10+1) = ^{10}C_4 \times 0.4^{4 +1} \times (1 - 0.4)^{10-4}[/tex]

[tex]P(x = 11) = ^{10}C_4 \times 0.4^{5} \times (0.6)^6[/tex]

[tex]P(x = 11) = 210 \times 0.4^5 \times 0.6^6[/tex]

[tex]P(x = 11) = 0.1003290624[/tex]

Approximate

[tex]P(x = 11) = 0.1003[/tex]

Hence, the probability that the last candy is sold at the 11th house is 0.1003

(b) The probability he sells the candies on or before the 8th house

The probability is calculated using:

[tex]P(x \le 8) = P(5 \le x \le 8)[/tex]

This gives

[tex]P(x \le 8) = ^{10}C_5 \times 0.4^{6} \times (0.6)^5 + ^{10}C_6 \times 0.4^{7} \times (0.6)^4 + ^{10}C_7 \times 0.4^{8} \times (0.6)^3 +^{10}C_8 \times 0.4^{9} \times (0.6)^2[/tex]

[tex]P(x = 11) = 0.1737[/tex] ---- approximated

Hence, the probability he sells the candies on or before the 8th house is 0.1737

Read more about probabilities at:

https://brainly.com/question/251701

Need help need help need help need help need help need help need help

Answers

Answer:

10 to 11 would be correct

Answer:

10 to 11

Step-by-step explanation:

what is the product of -2/7 and -3/7?​

Answers

Answer:

6/49

Step-by-step explanation:

2/7 * 3/7

2 * 3/ 7 * 7

3 * 3/7¹⁺¹

2 * 3/7²

6/49

Answer:

D

Step-by-step explanation:

The equation \sqrt{6-y^2}=x
6−y
2


=x is a function of yy."

Answers

Equations are used to represent functions, and vice versa.

The equation of y as a function of x is [tex]y=\sqrt{6 - x^2[/tex]

The function is given as:

[tex]\sqrt{6-y^2}=x[/tex]

Square both sides

[tex]6-y^2=x^2[/tex]

Subtract 6 from both sides

[tex]-y^2=x^2 - 6[/tex]

Multiply both sides by -1

[tex]y^2=6 - x^2[/tex]

Take square root of both sides

[tex]y=\sqrt{6 - x^2[/tex]

Express as a function

[tex]f(x) = \sqrt{6- x^2[/tex]

Hence, the equation of y as a function of x is [tex]y=\sqrt{6 - x^2[/tex]

Read more about functions and equations at:

https://brainly.com/question/13336451

Jessica runs 7 miles in 60 minutes. At the same rate, how many miles would she run in 24 minutes?

Answers

Answer:

If I am wrong I appologize I haven't done this math in years

Step-by-step explanation:

60÷7= 8.57

so each mile takes 8.57 mins

24÷8.57= 2.8 miles

Set up a proportion, 7/60 = x/24

I will give brainliest

Answers

Answer:

Equations 1 & 3 are correct.

Explanation:

Equation 2's actual answer is -8, and Equation 4's actual answer is positive 7.

Answer:

1 and 3 are correct

Step-by-step explanation:

Hello plz help with these two.

Answers

Problem 1

Answer: Choice D

--------------

Explanation:

The vertices are (-12,0) and (12,0). Both of which are on the same horizontal line. Because of this, we have a hyperbola that opens leftward and rightward. Such hyperbolas are of the form

[tex]\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1[/tex]

where (h,k) is the center and the a,b terms help set up the asymptotes.

The midpoint of the vertices (-12,0) and (12,0) is the point (0,0). This is the center. So we know that h = 0 and k = 0.

For left/right opening hyperbolas, the asymptotes can be described as the equations:

y = (b/a)x

y = (-b/a)x

Or we can condense them into [tex]y = \pm \frac{b}{a}x[/tex]. Compare this to the given equation [tex]y = \pm\frac{5}{12}x[/tex] to see that b = 5 and a = 12.

Therefore, we get the following:

[tex]\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\\\\\frac{(x-0)^2}{12^2}-\frac{(y-0)^2}{5^2}=1\\\\\frac{x^2}{144}-\frac{y^2}{25}=1[/tex]

That points us to choice D.

You chose the correct answer.

=============================================================

Problem 2

Answer:  Choice A

--------------

Explanation:

Divide both sides by 3600 so we can turn that "3600" into "1". Then our goal is to get that "1" to its own side like so:

[tex]25x^2-144y^2 + 3600 = 0\\\\\frac{25x^2-144y^2 + 3600}{3600} = \frac{0}{3600}\\\\\frac{25x^2}{3600}-\frac{144y^2}{3600} + \frac{3600}{3600} = 0\\\\\frac{x^2}{144}-\frac{y^2}{25} + 1 = 0\\\\\frac{x^2}{144}-\frac{y^2}{25} = -1\\\\-\frac{x^2}{144}+\frac{y^2}{25} = 1\\\\-\frac{x^2}{12^2}+\frac{y^2}{5^2} = 1\\\\[/tex]

We see that a = 12 and b = 5 like earlier, so we end up with the same asymptotes as before. The only difference is that this hyperbola opens upward/downward rather than left/right.

You made the correct choice in picking answer A. Both of your answers are correct. Nice work.

Find the projection of u onto v.
- Is the answer on the bottom correct?

Answers

V x U -5 and -1 and subtract 0

Cho ma trận 4 1 21 0 13 2 1A= −−−−Tính 25AI−Câu 2(3điểm)Tìm ma trận nghịch đảo của ma trận sau−=123020112ACâu 3(3điểm)Giải hệ phương trình=+−−=+−=−+02347213321321321xxxxxxxxxCâu 4(1điểm)Giải và biện luận hệ phương trìnhsau theo m1 2 31 2 31 2 3222 2 6 62 3 4 5xx xxxxxxxm− + =− + − = −− + = +HẾT.

Answers

Hi can you translate into English then I would be happy to help

What is Jada‘s vertical jump

Answers

It's probably 52 or 40.

What is the equation of a line that is parallel to y = -2x + 1 and passes through the point (3, -2)?

Answers

Answer:

y=-2x+4

Step-by-step explanation:

Since it is parallel, it has to have the same slope m=-2. Just use the equation y-y=m(x-x) to solve the equation of the line.

[tex]y-y_0=m(x-x_0)\\y-(-2)=-2(x-3)\\y+2=-2x+6\\y=-2x+4[/tex]

12a^2*b^4-36a^2*b+44abc

Answers

Let's simplify step-by-step.

[tex]12a^2*b^4-36a^2*b+44abc=[/tex]

There are no like terms.

Answer:

[tex]12a^2*b^4-36a^2*b+44abc=[/tex]

jesse walks 3 miles per hour to school.the school is 1.5 miles away.How long would it take jesse to walk to school

Answers

1 hour 30 minutes!
Please mark this the brainlest answer

Use the image to solve for t,

Please and thank you!

Answers

Answer:t = 25.Step-by-step explanation:

Since the two triangles are congruent, we can square the triangle's side to find 't'.

=> 5² = t = 25=> 4² = s = 16=> 3² = 9Conclusion:

Therefore, t equals 25.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

8 with an exponent of 2 +9(12 divided by 3 x 2)-7 simplify with steps please

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

[tex] \sf {8}^{2} + 9(12 \div 3 \times 2) - 7[/tex]

[tex] \sf64 + 9(4 \times 2) - 7[/tex]

[tex] \sf64 + 9(8) - 7[/tex]

[tex] \sf64 + 72 - 7[/tex]

[tex] \sf136 - 7[/tex]

[tex] \sf129[/tex]

Find the Product of 7/9of27

Answers

189 /9

7 x 27               189

              =    -------------------

9 x 1                     9

Find m

F
E
D
∠FED. This question is going to be 20 points

Answers

Answer:

the answer is : 180° - (61° +61°) = 58°

help me plssssss
ssssssssss

Answers

Answer:

The answer is going to be A

Step-by-step explanation:

LAST ATTEMPT MARKING AS BRAINLIEST!! ( graph the image of the figure using the dilation given)

Answers

Answers:

[tex]W(-2,-1) \to \\W \ ' \ (-4,4)\\\\X(0,2) \to \\X \ ' \ (0,4)\\\\Y(3,-1) \to \\Y \ ' \ (6,-2)\\\\V(-2,-1) \to \\V \ ' \ (-4,-2)\\\\[/tex]

=====================================================

Explanation:

The scale factor is 2, which means we double each coordinate of each point. The general rule is [tex](x,y) \to (kx,ky)[/tex] with k = 2. So we can say the more specific dilation rule is [tex](x,y) \to (2x,2y)[/tex]

Something like W(-2,2) moves to W ' (-4, 4) after multiplying each coordinate by 2. Do the same for the other points as well.

The given preimage points

V = (-2, -1)W = (-2, 2)X = (0, 2) Y = (3, -1)

will dilate to the corresponding image points

V ' = (-4, -2)W ' = (-4, 4)X ' = (0, 4) Y ' = (6, -2)

as shown below. This causes the image to be larger compared to the preimage (since the scale factor is larger than 1). Any given point is twice as far from the origin as compared to before, which in turn means the distance between any two points is twice as much.

GIVING 25 POINTS
Why won’t you ever have a remainder when dividing decimals?

Answers

Answer:

Because it is decimal

Step-by-step explanation:

Decimal do not have remainder

What is the sum of 6/7 and 1/2?

Answers

Answer: [tex]\frac{19}{14}[/tex] in improper form and [tex]1\frac{5}{14}[/tex] in mixed fraction form.

Step-by-step explanation: [tex]\frac{6}{7}[/tex] + [tex]\frac{1}{2}[/tex] = ? First you have to find the LCM (Least Common Multiple) of 7 and 2; also known as the LCD (Least Common Denominator). The LCM of 7 and 2 is 14 so you have to multiply both of the fractions by the number that equals 14, remember to multiply it for the numerator too. [tex]\frac{6}{7}[/tex] x [tex]\frac{2}{2}[/tex] = [tex]\frac{12}{14}[/tex] Then [tex]\frac{1}{2}[/tex] x [tex]\frac{7}{7}[/tex] = [tex]\frac{7}{14}[/tex] Now you add [tex]\frac{12}{14}[/tex] and [tex]\frac{7}{14}[/tex] together. You leave the denominator as 14 because you found the LCD of 7 and 2 already, so you add 12 and 7 together which gives you 19. The answer would be [tex]\frac{19}{14}[/tex] in improper fraction form and [tex]1\frac{5}{14}[/tex] in mixed fraction form.

The sum of the fraction 6/7 and 1/2 is 19/14

How to add fractions

Given:

sum of 6/7 and 1/2

Sum means addition(+)

= 6/7 + 1/2

The least common denominator is 7 × 2 = 14

= 6/7 + 1/2

= (12+7) / 14

= 19/14

Therefore, the sum of 6/7 and 1/2 is 19/14

Learn more about fraction:

https://brainly.com/question/11562149

PLEASE HELP WILL MARK BRAINIEST!!!!!!!!

Answers

Answer:

A.

Step-by-step explanation:

Can anyone please help? im running out of time and im so confused.

Answers

Answer:

x=8

Step-by-step explanation:

x+x+5=x+x+x-3

2x+5=3x-3

Subtract 2x from both sides.

5=x-3

Add 3 to both sides.

8=x

-hope it helps

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