Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 4 < x < 7.
f(x)
3
5
4.
9
5
15
6
23
7
33
Answer:
Submit Answer
attempt 2 out of 2

Answers

Answer 1

Answer:

  8

Step-by-step explanation:

It appears your table includes points (4, 9) and (7, 33). The average rate of change on the interval is the slope of the line between these two points:

  m = (y2 -y1)/(x2 -x1)

  m = (33 -9)/(7 -4) = 24/3 = 8

The average rate of change is 8.


Related Questions

Simplify (4.5)(5)(−2). (1 point)

Answers

Answer:

(4.5)(5)(−2) = (-9) × 5

= -45

Answer:

-45

Step-by-step explanation:

[tex](4.5)(5)(-2)\\\\22.5(-2)\\\\-45[/tex]

If a rectangle has a base of 6' and a height of 4' its area would be what?
A= bxh
A= 6'x4'
A= 24 sq.ft.

Answers

24 sq.ft. Is the answer if not then I’m sorry

In 2000, the moose population in a park was measured to be 650. By 2010, the population was measured to be 750. Assume the population continues to change exponentially. Find a formula for the moose population, P(x), where x is the number of years after 2000

Answers

Answer:

650 * (1.01)ˣ = P(x)

Step-by-step explanation:

One formula for exponential growth is

a*bˣ, where x represents time, a represents the initial amount, and b represents the growth rate. We have 650 as our initial amount because x is the number of years after 2000, and there are 650 moose in 2000. Then, we have

650 * b¹⁰ = 750 because, after 10 years, the moose population is 750. Solving for b, we have

750/650 = b¹⁰

(750/650)^(1/10) = b

= 1.01441296377 (can round this to 1.01)

Therefore, after x years, the moose population can be represented by the equation

650 * (1.01)ˣ

What is the solution to the system of equations

Answers

Answer:

x = 5

y = -4

Step-by-step explanation:

5th Grade Science Very Easy plz help me :3 NO LINKS

What makes a balloon electrically charged?

Adding more air to the balloon
Placing the balloon against a wall
Rubbing the balloon against your hair
Running water over the balloon

Answers

Answer:

rubbing it against your hair it causes friction and with friction comes energy

C. Rubbing the balloon against your hair can cause electric charge

3. The grade-point averages of 20 college seniors selected at random from a graduating class are as follows:
3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9 Calculate the standard deviation.

Answers

The standard deviation of the grade points average of the college seniors is 0.57.

The given parameters:

3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9

The sum of the given data is calculated as follows;

∑x = 3.2 + 1.9 + 2.7 +  2.4 + 2.8 + 2.9 + 3.8 + 3.0 +  2.5 + 3.3 + 1.8 + 2.5 + 3.7 + 2.8 + 2.0 + 3.2 + 2.3 + 2.1 + 2.5 + 1.9

∑x = 53.3

The mean of the distribution is calculated as follows;

[tex]\bar x = \frac{\Sigma x}{N} \\\\\bar x = \frac{53.3}{20} \\\\\bar x = 2.665[/tex]

The square of the difference between the grade point and the mean;

[tex]\Sigma (x - \bar x)^2 = (3.2- 2.665)^2 + (1.9-2.665)^2 + (2.7- 2.665)^2 + (2.4-2.665)^2 \\\\+(2.8-2.665)^2 +(2.9 - 2.665)^2 + (3.8 - 2.665)^2 + (3-2.665)^2+ \\\\(2.5 -2.665)^2 + (3.3 - 2.665)^2 + (1.8-2.665)^2 + (2.5 - 2.665)^2 + \\\\(3.7-2.665)^2 + (2.8 - 2.665)^2 + (2-2.665)^2 + (3.2-2.665)^2 + \\\\(2.3 - 2.665)^2 + (2.1-2.665)^2 + (2.5-2.665)^2 + (1.9 - 2.665)^2\\\\\Sigma (x - \bar x)^2 = 6.5055[/tex]

The standard deviation of the grade points is calculated as follows;

[tex]\sigma = \sqrt{\frac{\Sigma (x-\bar x)^2}{N} } \\\\\sigma = \sqrt{\frac{6.5055}{20} } \\\\\sigma = 0.57[/tex]

Thus, the standard deviation of the grade points average of the college seniors is 0.57.

Learn more about standard deviation here: https://brainly.com/question/12402189

Solve and graph the solutions of |x − 5| > 12. Write the solutions as a compound inequality.

Answers

Answer:

inequality form: x<-7 or x> 17

Step-by-step explanation:

please help ill mark brainliesta​

Answers

Answer: Neither

Step-by-step explanation:

y = -5/4 x + 3/4

y = 5/4 x + 3/4

Because -5/4 is not a negative reciprocal of 5/4 and because they are not the same, they are neither in parallel or perpendicular

3) A Jewelry artist charges $7.00 for each pair of earrings she sells. in 3 hours, she sells 15 pairs of
earrings. At that rate, how much money could she earn from selling earrings for 5 hours?

Answers

Answer: $175

Step-by-step explanation:

$7.00 x 15 = $105.00

$105.00 / 3 hours = $35/hr.

$35 x 5 = $175

5/50 divided by 15/30 solve it out for me please

Answers

Answer:

1/5

Step-by-step explanation:

First and foremost, I want to simplify these fractions, just to make everything a lot easier when I actually get to dividing. 5/50 can be divided by 5/5 to get 1/10, and 15/30 can be divided by 15/15 to get 1/2. So, now we're dividing 1/10 by 1/2.

To divide fractions, we can multiply the first fraction (in this case, 1/10) by the reciprocal of the second fraction (in this case, 1/2). The reciprocal of 1/2 is 2, so we can multiply 1/10 by 2 to find our answer. 1/10 × 2 = 2/10, or 1/5, so this is our final answer.

Hopefully that's helpful! If you have any further questions, let me know. :)

The quotient of given fractions is 1/5.

Given that, 5/50 divided by 15/30.

What are fractions?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Now, 5/50 ÷ 15/30

Keep the first fraction 5/50 same change the division symbol and reciprocate the fraction 15/10

That is, 5/50 × 30/15

= 1/10 × 2/1

= 2/10

= 1/5

Therefore, the quotient of given fractions is 1/5.

To learn more about the fractions visit:

https://brainly.com/question/1301963.

#SPJ2

evaluate the following expression . 2*[4+(12+16)/7

Answers

Answer:

16

Step-by-step explanation:

[tex]2 \times (4 + (12 + 16) \div 7 \\ (12 + 16) = 28 \div 7 = 4 + 4 = 8 \\ 2 \times 8 = 16[/tex]

Convert the decimal or whole number to a percent. 1.15 3/8

Answers

Answer:

11.5% and 3.75%

Step-by-step explanation:

since 1.15 is greater than 1, we assume that its taken out of 10

therefore its percent will be 1.15/10*100=11.5%

as for 3/8 (0.375) its less than 1, so we assume its taken out of 1, therefore 0.375/1*100=3.75%

what are the measurements of 1 and 2?

Answers

Answer:

8 tablespoons1/2 cup4 ounces10 tablespoons plus 2 teaspoons2/3 cup5.2 ounces12 tablespoons3/4 cup6 ounces16 tablespoons1 cup8 ounces

What is the slope please help you’ll be marked brainliest TYSMMMMMM

Answers

Step-by-step explanation:

the slope of a line is the ratio "y coordinate change / x coordinate change" when going from one point to another.

I think I can recognize two good points with integer coordinates :

(-30, -90) and (70, 70)

x changes by +100 (from -30 to 70)

y changes by +160 (from -90 to 70)

the slope is then +160/+100 = 16/10 = 8/5

What is the value of x?

Answers

Answer:

a. 125

Step-by-step explanation:

the angle labeled "x" is supplementary with the angle that has a measure of 55°

Supplementary angles add up to equal 180°

This means that x + 55 must equal 180

Note that we've just created an equation that we can use to solve for x.

We now solve for x using the equation we just created.

x + 55 = 180

subtract 55 from both sides

x = 125

The answer is a

a. 125 is the correct answer. I was about to do a long explanation but I just realized that the person before me said the same thing.

How would I solve this algebra question? Step by step

Answers

First find out what’s X. You’ll first do x - 7 and square root it. Next step is after you find out that is add 9 which should give you the same number you filled in for X

If y’all show y’all work and do all the questions I add extra extra points

Answers

Answer:

For 5.) I believe the slope is 3/5, for 6.) the slope is -2/8 (-1/4 when simplified) and the y-int is 2, for 7.) the slope is 6/2 (3/1 when simplified), for 8.) the slope is -2/4 (-1/2 when simplified) + the y-int is -3, and for 9.) the slope is 1/6.

Step-by-step explanation:

5.) the slope is 3/5 because it rises 3 and runs 5 (from the two plotted points)

6.) the slope is -2/8 (-1/4) because from the two points, it runs 8 and drops 2 (so -2) + when simplified its -1/4 because -2/8 divided by 2 on top and bottom would get you -1/4. And y-int is 2 because on the y-axis, the line is going through 2.

7.) the slope is 6/2 (3/1) because it rises 6 points and runs 2 (from the two points) and when simplified (6/2 divided by 2 on both top and bottom) would get you 3/1.

8.) the slope is -2/4 (or -1/2) because it runs 4 and drops 2 (which would be -2), and when simplified it gets you -1/2.

9.) the slope is 1/6 because between the two points, you rise one and run 6. Which gets you 1/6

Not sure if these are all correct, but I hope this helps :)!

All changes saved
8. Logan can run five miles in one hour. How many
minutes does it take for him to run each mile?

Answers

Answer: 12

Step-by-step explanation: there are 60 minutes in an hour. 60/5=12

please help me! i will go ahead and give brainliest!

Answers

Answer:

[tex]6w - 60[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]6(w - 10)[/tex]

[tex](6*w) + (6*(-10))[/tex]

[tex]6w + (-60)[/tex]

[tex]6w - 60[/tex]

Answer:  [tex]6w - 60[/tex]

Solveee

8 ( x - 1 ) + 17 ( x - 3 ) = 4 ( 4x - 9 ) + 4


118 - 65x - 123 = 5x + 35 - 20x ​

Answers

Answer:

1)

[tex]x = 3[/tex]

2) [tex]x = - \frac{4}{5} [/tex]

Step-by-step explanation:

To know the solution with Proof .Refer To the above attachments .

Hope this helps you !!

Answer:

Step-by-step explanation:

distribute the 8,17,and 4 throughout the parentheses to get

8x-8+17x-51=16x-36+4

combine like terms

25x-59=16x-32

subtract 16x from both sides and add 59 to both sides to get

9x=27

divide both by 9

x=3

Find the equation of a line whose slope is 6 and passing through (3 , 3 ).

Answers

Answer:

y=6x-15

Step-by-step explanation:

y-y1=m(x-x1)

y-3=6(x-3)

y-3=6x-18

y=6x-18+3

y=6x-15

Launch Problem

Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.


5. How many miles did Melanie run altogether last week?

Answers

Answer:

5 miles

Step-by-step explanation:

add the points together.

it seems like each point is how many miles they ran each day.

1/4 + 2(1/2) + 3/4 + 3(1) = 5

A cook has 32 ounces of a 5% apple cider vinegar that she wants to dilute to a 3% apple cider vinegar . How much water does she need to add to obtain that concentration?

Answers

The cook needs to add 21.3 ounces of water to obtain the concentration

The cook has 32 ounces of 5% apple cider vinegar.

The total apple cider vinegar the cook has is:

[tex]Total = 32 \times 5\%[/tex]

[tex]Total = 1.6[/tex]

Let the quantity of water be x.

To dilute 3% apple cider vinegar, the cook would make use of the following equation

[tex]Total = 3\%\times (Apple\ Cider\ Vinegar + Water)[/tex]

So, we have:

[tex]Total = 3\%\times (32 + x)[/tex]

Substitute 1.6 for total

[tex]1.6= 3\%\times (32 + x)[/tex]

Divide both sides by 3%

[tex]53.3=32 + x[/tex]

Subtract 32 from both sides

[tex]53.3-32= x[/tex]

[tex]21.3= x[/tex]

Rewrite as:

[tex]x = 21.3[/tex]

Hence, the cook needs to add 21.3 ounces of water

Read more about concentration at:

https://brainly.com/question/25833493

Mary works at a local Burger King restaurant. Her regular hourly wage is $14.70. If she works overtime, she
receives an hourly rate of 14 times her regular hourly rate. If she regularly works 40 hours per week with no
overtime, what is her regular weekly pay?

$882

$2.94

$588

$294

Answers

Answer:

I’m pretty sure it’s 588

Step-by-step explanation:

14.70 * 40 = 588

what is (3×100)+(1×110)+(4×11,000) in decimal form

Answers

It is 44,410 thanks

Practice using angle relationships.
Assignment
J
What is the measure of JKL?
* 60°
96°
O 80°
O 110°
O 120°
240
H
K L

Answers

Answer:

120

Step-by-step explanation:

24 + 96 = 120

Hope this helps!

​what is y=2x+3 y=−3x+3 ​

Answers

Step-by-step explanation:

equate the two equations

This section is worth 8 points of 31 total.
Drag the item from the item bank to its corresponding match.
ITEM BANK Move to Top
1.2 x 103
drag and drop answet here
0.00056
1.2 x 10-3
drag and drop answer there
0.0012
0.0056
5.6 x 104
drag and drop answerhero
0.012
5.6 x 10-4
dindianswerte
1,200
1.2x 10²
drag and drop answers
120
56,000
1.2 x 102
clog and drop
560
5.6 x 102. Do
5.6 x 103

Answers

Answer:

1200

0.0012

56000

0.00056

120

0.012

560

0.0056

Step-by-step explanation:

what is the value of x?

Answers

Answer:

132

Step-by-step explanation:

corresponding angles are the same

Standard form question

Answers

Answer:

 1.64×10^7 km

Step-by-step explanation:

The Pythagorean theorem can be used to find the hypotenuse of this right triangle.

  QR² = PQ² +PR²

Expressing the given distances as multiples of 10^7 km, we have ...

  QR² = 0.36² +1.6² = 0.1296 +2.5600 = 2.6896

  QR = √2.6896 = 1.64

The shortest distance between planets Q and R is 1.64×10^7 km.

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