What is the average rate of change of f over the interval

Answers

Answer 1

It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.


Related Questions

Evaluate p^2-q.
When p=3 and q= -4

Answers

Hey there!

p^2 - q

= 3^2 - -4

= 9 - -4

= 9 + 4

= 13


Therefore, your answer is: 13


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Please HELP im begging anyone Question 6 options:

The Edwards family spends $800 per month on groceries for their family. If this is 18% of their monthly budget, then what is their monthly budget?


Round to the nearest cent (hundredths place).

I suck at math so like yeah and i really need this good grade please

Answers

Answer:

$444.44

Step-by-step explanation:

Let the monthly budget of Edward family be $x.

-> 18% of x = 800

-> 0.18x = 800

-> x = 800/0.18

-> x = 444.44

Thus, the monthly budget of Edward family is $444.44.

during the first half of the year there were 54 students in the schools bicycling club. in the second half of the year the club had 68 members. find the percent of increase in club membership to the nearest whole percent

Answers

Answer:

To the nearest whole percent is 26%

Step-by-step explanation:

First half of the year = 54 students

Second half of the year = 68 members

find the percent of increase in club membership to the nearest whole percent ?

% increase in club membership = (new member - old member) / old member × 100

= (68 - 54) / 54 × 100

= 14 / 54 × 100

= 0.259 × 100

= 25.9 %

To the nearest whole percent is 26%

Write the equation in point-slope form of the line that passes through the points (-10,4) and (10,8) ​

Answers

Answer:

10

Step-by-step explanation:

10 and 8 would be in between 10 and 9 hope this can help

a line passes through the points ( -4,3) and (0,0). what is the slope of the line?

Answers

Answer:

The slope is -3/4 or -0.75

Step-by-step explanation:

You can solve this using the slope of a line formula:

[tex]m=\frac{rise}{run}=\frac{y_{2}-y_1 }{x_2-x_1}[/tex]

m = slope

[tex](x_1,y_1)[/tex] = coordinates of first point in the line

[tex](x_2,y_2)[/tex] = coordinates of second point in the line

Now all you have to do is plug your numbers in and solve!

What was the original price of the sneakers?

Answers

Answer:

the original price of the sneakers is $45

Answer:

45$$$$$

Step-by-step explanation:

Graph and find the area of the figure with the given vertices. 5. (−1, 4), (−4, −3), (4, −3)

Answers

Answer:

28 units^2

Step-by-step explanation:

A=1/2bh

base is 8

height is 7

A=1/2*56

A=28 units^2

What is the answer someone help me?

Answers

Complementary is equal to 90 degrees so
Angle FGK & Angle GKL are complementary

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

We start on the number -3 on the number line. Since the b > -3 is using the greater than sign, it is an open circle and since the inequality is pointing to the right, we can draw the arrow going to the right on the number line.

Step-by-step explanation:

[tex]\dfrac{ b }{ 3 } +1 > 0[/tex]

Multiply both sides of the equation by 3. Since 3 is positive, the inequality direction remains the same.

[tex]b+3 > 0[/tex]

Subtract 3 from both sides. Anything subtracted from zero turns into a negative number.

[tex]b+3-3 > 0-3[/tex]

Simplify

[tex]b > -3[/tex]

Now we need to graph it:

Inequalities can be shown on a number line. Open circles are used for numbers that are less than or greater than (< or >). Closed circles are used for numbers that are less than or equal to and greater than or equal to (≤ or ≥).

Symbol Meaning

> Greater than

> Greater than or equal to

< Less than

< Less than or equal to

We start on the number -3 on the number line. Since the b > -3 is using the greater than sign, it is an open circle and since the inequality is pointing to the right, we can draw the arrow going to the right on the number line.

Also look at the picture

Will give brainliest, thanks, and 5 stars!
Please help me with this question and how I do it!

Answers

|| ▼ Answer ▼ ||

8 is correct!

|| ✪ Solution ✪ ||

[tex]g(x)=2x^{2}-8x+1[/tex]

Vertex of f(x) is:

[tex](x,y)=(2,1)[/tex]

Graph of g(x) is attached :

Vertex of g(x) is:

[tex](x,y)=(2,-7)[/tex]

Y- value of vertex f(x) subtract from Y-value of g(x)

[tex]=1-(-7)[/tex]

[tex]=1+7[/tex]

[tex]1+7=8[/tex]

Hope this Helps!

If you have any queries please ask.

In a circle, a central angle of 2.5 radians intercepts an arc
of 15 inches. Find the area of the circle to the nearest tenth.

Answers

Answer:

19.63 in2

Step-by-step explanation:

2.5 squared is 6.25. Then you times it by 3.14 giving you 19.625 rounded to 19.63. Hope this helps!

Aubree makes $25 a week helping her mom with her siblings. She wants to buy a computer that cost $500. How many weeks will it take her to have enough money to buy the computer?

Answers

Answer:

20 weeks

Step-by-step explanation:

This question, luckily, can be solved with a very simple algebraic expression.

Let w = the amount of weeks.

[tex]25w = 500[/tex]

So from here, we need to divide both sides by 25 to get w by itself: [tex]w = 20[/tex]

Therefore, it will take Aubree 20 weeks to have enough money to buy the computer.

Swimming Pool On a certain hot​ summer's day. 445 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $945.75. How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

170 kids

368 adults

Step-by-step explanation:

0.00000804 scientific notation

Answers

here’s is the answer: 8.04x10^-6

The sum of two numbers is 48. The smaller number is 20 less than the larger number. What are the numbers?

Answers

Answer:

34 + 14 = 48

Step-by-step explanation:

have a great day

Step-by-step explanation:

Let x = larger number

Let y = smaller numer

(1) x + y = 48

(2) x = y + 14

Solving (1) for x:

x = 48-y

Substituting this into (2) and solving for y:

48-y = y+14

48-2y = 14

-2y = -34

y = 17

x = 48-y = 31

So, the smaller number is 17 and the larger number is 31

 ALL CREDIT GOES TO J.R. S. DO NOT REPORT

What is the answer? Please help I need it today.

Answers

Answer:

0.141 in³

explanation:

[tex]\sf \bold{volume \ of \ rectangular \ prism = length * width * height }[/tex]

using the formula:

[tex]\sf {volume \ of \ rectangular \ prism = \dfrac{1}{2} * \dfrac{3}{4} * \dfrac{3}{8} }[/tex]

[tex]\sf {volume \ of \ rectangular \ prism = \dfrac{9}{64} \ in^3[/tex]

[tex]\sf {volume \ of \ rectangular \ prism = 0.140625 \ in^3[/tex]

[tex]\sf {volume \ of \ rectangular \ prism = 0.141 \ in^3[/tex]

im givin away points to anyone even people who just want poinnts and dont put the answers so pls just do my question:Use rounding to estimate the product.

22.1 × 4.61

80
110
88
100

Answers

Answer:

110

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

4. Find f(7) for
the function
below.
f(x) = 1/2 •2^x

Answers

Answer:

f(7) = 64

Step-by-step explanation:

To evaluate f(7) substitute x = 7 into f(x) , that is

f(7) = [tex]\frac{1}{2}[/tex] × [tex]2^{7}[/tex] = [tex]\frac{1}{2}[/tex] × 128 = 64

Answer:64

Step-by-step explanation:

BIG BRAIN

A triangle has an area of 40 square inches. It's base is written as (x + 2) and it's height is written as (x + 4). Calculate the value of x and be sure to check for any extraneous (excluded) value.

Answers

-3 plus or minus square root of 41
See attached picture for explanation

What is the value of y in the equation 5x 2y = 20, when x = 0. 3?.

Answers

Answer:

3 y=9.25...................

The product of the digits of 3214 is 24. How many distinct four-digit positive integers are such that the product of their digits equals 12

Answers

Using the arrangements formula, it is found that there are 72 distinct four-digit positive integers are such that the product of their digits equals 12.

What is the arrangements formula?

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem, considering that the numbers are arranged, we have that there are:

4! 4-digit numbers involving a six, a two and two ones that result in a product of 12.4! 4-digit numbers involving a four, a three and two ones that result in a product of 12.4! 4-digit numbers involving a three , two twos and a one that result in a product of 12.

Hence:

T = 3 x 4! = 3 x 24 = 72.

There are 72 distinct four-digit positive integers are such that the product of their digits equals 12.

More can be learned about the arrangements formula at https://brainly.com/question/24648661

Liz makes and sells necklaces. It costs her $40 for the supplie s to make 50 necklaces. How much must she sell each one for in order to make a profit of at least $250?

Answers

Using proportions, it is found that she must sell each necklace for at least $5.80 in order to make a profit of at least $250.

What is a proportion?

A proportion is a fraction of a total amount

In this problem, it costs her $40 to make 50 necklaces. She wants a profit of at least $250, hence the 50 necklaces should sell for at least $250 + $40 = $290.

Hence, the minimum price for each one is given by:

$290/50 = $5.80.

She must sell each necklace for at least $5.80 in order to make a profit of at least $250.

More can be learned about proportions at https://brainly.com/question/24372153

A house-painting company charges $350 plus $15 per hour. Another company charges $275 plus $20 per hour. Write an equation that represents when both companies will cost the same amount.

How long will the job be when both companies charge the same amount?

Answers

Answer:

350 + 15x = 275 + 20x where x = 15

Step-by-step explanation:

350 + 15x = 275 + 20x

350 - 275 = 20x - 15x

75 = 5x

75/5 = 5x/5

15 = x

350 + 15(15) = 275 + 20(15)

350+225 = 275+300

575 = 575

The value of p(t)= 2 + t + 2t^2 - t^3 for t = 2
Options:
a) 4
b) -4
c) 6
d) 7

Answers

See picture for math work and answer.

What is an equation of the line that passes through the points (8, -5)(8,−5) and (8, -2)(8,−2)?

Answers

Answer:

This is undefined because the slope is 3/0, and you can't divide by 0

When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 183 cubic inches of a gas at a pressure of 14 pounds per square inch, find the new pressure of the gas if the volume is decreased to 61 cubic inches

Answers

Answer:

42 pounds per square inches.

Step-by-step explanation:

The temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas.

⇒ [tex]V\propto \dfrac{1}{P}[/tex]

or

[tex]V_1P_1=V_2P_2[/tex]

Volume, V₁ = 183 cubic inches

Pressure, P₁ = 14 pounds/square inch

We need to find the new pressure if the volume is decreased to 61 cubic inches. Let P₂ is new pressure. So,

[tex]P_2=\dfrac{V_1P_1}{V_2}\\\\P_2=\dfrac{183\times 14}{61}\\\\P_2=42\ \text{pounds per square inch}[/tex]

Hence, the final pressure is 42 pounds per square inches.

solve for w: 3w + 4w = 14 simplify your answer as much as possible.​

Answers

Answer:

W=2

Step-by-step explanation:

Let's solve your equation step-by-step.

3w+4w=14

Step 1: Simplify both sides of the equation.

3w+4w=14(3w+4w)=14

(Combine Like Terms)7w=14/7w=14

Step 2: Divide both sides by 7.

7w7=14/7

Your answer comes out at, w=2

If u need some more help just comment down below and ill try to help u some more:p

What is the slope of a line perpendicular to the line -2x + 9y = 8?

Answers

Answer:

-9/2

Step-by-step explanation:

To make a slope perpendicular, you must find the slope in a y = mx+b format where the slope is easy to find. Add 2x to the opposite side and then divide the entire right side of the equation by 9 to get y = 2/9x +8/9. A perpendicular slope is just a negative reciprocal of the slope, so make 2/9 negative and flip around the numerator and denominator to get a perpendicular slope of -9/2. Hope that helps!

Multiply the sum of sixteen and four and the difference of negative two and negative seventeen. Select the correct answer.

Answers

p.s im not sure but i’ll try to help
the sum of 16 and 4 should be 20. and the difference between -2 and -17 should be -19. Multiplying 20 and -19 should give u -380

what is yhe slope of a line parallel to the line whose equation is 15x-6y=54 fully simplify ​

Answers

Answer:

m = 5/2

Step-by-step explanation:

use the slope intercept form y = mx + b to find the slope which is m

hope this helps

have a great day- TJ

Slope of the line parallel to 15x - 6y = 64 is [tex]\frac{3}{2}[/tex]

What is slope of a line?

Slope of a line is the tangent of the angle which the line makes with the

positive direction of x axis

If [tex]\theta[/tex] is the angle which the line makes with the positive direction of x axis, then slope of the line is given by

[tex]m = tan\theta[/tex]

If the line passes through ([tex]x_1, y_1[/tex]) and ([tex]x_2, y_2[/tex])

slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Here,

[tex]15x - 6y = 64\\6y = 15x -64\\y = \frac{15}{6}x - \frac{64}{6}\\y = \frac{3}{2}x - \frac{32}{3}\\[/tex]

Slope of this line = [tex]\frac{3}{2}[/tex]

Slopes of two parallel lines are same

Slope of the line parallel to the above line =  [tex]\frac{3}{2}[/tex]

To learn more about slope of a line, refer to the link-

https://brainly.com/question/3493733

#SPJ2

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