Find the average rate of change of the function between the given values of x.
y = -5x - x2 between 2 and x = 6.

Answers

Answer 1

Answer:

The average rate of change is of -13.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function in an interval [a,b] is given by:

[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]

In this question:

Between 2 and 6. So

[tex]f(6) = -5(6) - 6^2 = -30 - 36 = -66[/tex]

[tex]f(2) = -5(2) - 2^2 = -10 - 4 = -14[/tex]

[tex]A = \frac{-66 - (-14)}{6 - 2} = \frac{-66 + 14}{4} = \frac{-52}{4} = -13[/tex]

The average rate of change is of -13.


Related Questions

You notice these two suitcases in the closet. The smaller suitcase is 25 in x 8 in x 9in, and the larger suitcase is 75 in x 20 in x 18in. The bigger suitcase is how many times larger than the smaller suitcase??

Answers

Answer:

15x larger

Step-by-step explanation:

75x20x18=27000

25x8x9=1800

27000/1800=15

Anwser:15x larger

Answer:

15

Step-by-step explanation:

smaller suitcase = 1800in^3

bigger suitcase = 27000in^3

27000 divided by 1800 = 15

Which statement about the graph of y = }}) * is true?
A)
The graph has a vertical asymptote.
B)
The graph crosses the y-axis at (0,5).

o
The graph has an asymptote at y =
D)
The graph decreases from left to right.

Answers

Answer:

the graph has a vertical asymptote

Solve the equation square root of the quantity x plus 3 plus 4 equals 5 for the variable. Show each step of your solution process

Answers

Answer:

-2

Step-by-step explanation:

x+3+4=5

x+7=5

subtract 7 on both sides

x=-2

Enya is writing a 500 word essay. So far, she has written 150 words. What percent of her essay has she written so far?

Answers

Answer:

30%

Step-by-step explanation:

150/500 = 0.3

0.3x 100= 30%

Answer:

333.3%

Step-by-step explanation:

Kenji walks 44 feet in 10 seconds. At this rate, how many miles does Kenji walk in an hour? Show your work. (1 mile 5 5,280 feet) (make it simple)

Answers

Answer:

3 miles

Step-by-step explanation:

1 hour = 3,600 seconds (3,600 ÷ 10 = 360)

360 x 44 = 15,840 Feet

1 mile = 5,280 feet

15,840 feet ÷ 5,280 feet = 3 miles

Kenji walks 3 miles in 1 hour.

Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

The ratio of male drivers to female drivers with parking passes at Gladstone High School is 5:3. If there are 64 students with parking passes, how many are female?​

Answers

Answer:

24

Step-by-step explanation:

Basically, for every 5 boys there is 3 girls. A simple way to solve this, but longer, yet the one I personally use count up, go 5*2 3*2 and find which one adds up to 64. Once you get to 64, total including the product of both, you will have the amount of boys and girls. In this case

5*8 and 3*8 = 64

3*8 = 24

5*8 = 40

There are 24 girls

Write two numbers that multiply to the value on top and add to the value on bottom,
-70
3

Answers

Answer:

45

Step-by-step explanation:

45

Is -12 greater than -5​

Answers

Answer:

No. it's less than. The bigger the negative number is, the lesser it is.

The circle has a circumference of 9.42 units. What is the area of the square? Use 3.14 for π. Explain how you found the answer.

Answers

Answer:

7.065 sq. units

Step-by-step explanation:

The circumference is given, thus you can use the equation 2πr = circumference to find out the radius first, r = 1.5.

Area = πr²

∴The required area is 7.065 sq. units

Plz help me well mark brainliest if correct

16+17=h+16
h=?
A.16
B.17
c.33
D.47

Answers

Answer:

The answer should be B

Answer:

17

Step-by-step explanation:

2 expressions equal are defined as equivalent expressions

y-4= -2(x-2) find the point on the line

Answers

Answer:

(0,8)

(4,0)

m= -2

____________________________________

Solve similar triangles
Solve for x
X=?

Answers

Answer:

x = 5

Step-by-step explanation:

AB/BC = AD/DE

9/3 = 15/x

9x = 45

x = 5

2 1/3 years to months

Answers

Answer:

27.99996931510212 months

Rounded to the nearest tenth: 28 months

Step-by-step explanation:

PLZ I NEED HELP ANSWER QUICK

Answers

Theres always 180 degrees in a flat line angle thingy you need answers fast so im not looking up what its called but 180-125=55 and then you 55-1=54 then 54/3=18!!!!!

Find the center and radius of the circle with the given equation. Then graph
the circle.
x² + y² = 16

Answers

Answer:

Step-by-step explanation:

Center (0,0)

radius = √16 = 4

For the equation, x² + y² = 16:

(0, 0) is the center and 4 is the radius.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

And the general formula of the circle,

(x – h)²+ (y - k)² = r²,

where (h, k) is the center and r is the radius of the circle.

Given:

An equation of a circle,

x² + y² = 16.

And the general formula of the circle,

(x – h)²+ (y - k)² = r²,

where (h, k) is the center and r is the radius of the circle.

Comparing, we get,

center is (0, 0)

And radius  r² = 16

And r = 4

Therefore, (0, 0) is the center and 4 is the radius.

To learn more about the circle;

https://brainly.com/question/29142813

#SPJ2

6. A hypothesis test in which rejection of the null hypothesis occurs for values of the point estimator in either tail of the sampling distribution is called _______ Group of answer choices A one-tailed test A two-tailed test The null hypothesis The alternative hypothesis g

Answers

Answer:

A two-tailed test.

Step-by-step explanation:

ANOVA is a short term or an acronym for analysis of variance which was developed by the notable statistician Ronald Fisher. The analysis of variance (ANOVA) is typically a collection of statistical models with their respective estimation procedures used for the analysis of the difference between the group of means found in a sample. Simply stated, ANOVA helps to ensure we have a balanced data by splitting the observed variability of a data set into random and systematic factors.

In Statistics, the random factors doesn't have any significant impact on the data set but the systematic factors does have an influence.

Basically, the analysis of variance (ANOVA) procedure is typically used as a statistical tool to determine whether or not the mean of two or more populations are equal through the use of null hypothesis or a F-test.

Hence, the null hypothesis for an analysis of variance (ANOVA) requires that all treatments or samples should be generated from populations having the same mean.

A hypothesis test in which rejection of the null hypothesis occurs for values of the point estimator in either tail of the sampling distribution is called a two-tailed test.

HELPP DUEE BY 1pm PACIFIC HELP ASAPP

Answers

I can try and help, 36 = 3 (4.5 + x), whichif you distribue, you get 36 = 13.5 + 3x, and if you solve from there, you get 22.5 = 3x, then your answer, 7.5 = x

PLEASE HELP I DONT GET THIS ASAP! IS THIS 21??

Answers

it is 21 you’re right haha

What type of dilation occurs with a scale factor of 1/4?

Answers

Answer:

Congruent

Step-by-step explanation:

Find the sum of the following fractions:
2/8 + 1/3

Answers

Answer:

Step-by-step explanation:

Answer:

7/12. if you find a common denominator for the two, like 24 for example, 2/8 converts to 6/24 and 1/3 converts to 8/24. 6/24+8/24=14/24, and that reduced is 7/12.

Step-by-step explanation:

What is the domain of the function shown in the graph?
A. X <0
B. X < -1
C. -infinity D. X > -1

Answers

A. X <0 I think i not that smart that’s just what I got

Answer:

-infinity < x < Infinity

Step-by-step explanation:

Youre welcome

A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 14 cm long and 4 cm wide. The diameter of each circle is the width of the rectangle. What is the area of the bookmark? Use 3.14 for π.
_____
The area of the bookmark is_____cm2.

Answers

68.56 or 69 rounded I just multiplied 14cm and 4 for the area of the rectangle and multiplied 4 by pi since the radius was 2 and the exponent was two it equaled four look at the picture if you don’t understand

Answer:

The area of the bookmark is  68.56  cm².

Step-by-step explanation:

Separate the bookmark into simpler shapes as described in the problem: a rectangle and a circle (two semicircles of the same size).

Find the area of the simpler figures.

Rectangle

A = LW

A = 14 · 4

A = 56

The area of the rectangle is 56 cm2.

Circle

A = πr2

A = 3.14(2)2

A = 3.14(4)

A = 12.56

The area of the circle is 12.56 cm2.

Find the area of the bookmark.

A = 56 + 12.56

A = 68.56

The area of the bookmark is 68.56 cm².

HELP ME PLEASE I HAVEE 5 MINNS lEft HELP

Answers

Answer:

im going to guess the last answer. theone that i can't see

Step-by-step explanation:

Given that the measure of ∠x is 20°, and the measure of ∠y is 30°, find the measure of ∠z.

Answers

Answer:

40°

Step-by-step explanation:

z+90+y+x=180°

z+90+30+40=180°

z=40°

Angle Z would be 40°

The top half of the image is 180° In total and the red square represents 90°,

And since angle X is 20° and angle Y is 30° thats 50° total leaving a total of 40° unknown for the top half making that 40°

Answer: Z=40°

keep it simple and explain your answer plss and thank you

Answers

Answer:

y=-1/3+4

Step-by-step explanation:

y=mx+b

mx=slope

b=y intercept

Someone help me on this please

Answers

Answer:

b

Step-by-step explanation:

(a)write down the first ten square numbers.
(b)which two square numbers give a sum of 80?
(C)which two square number give a different of 11?​

Answers

A) 1, 4, 9, 16, 25, 36, 49, 64, 81, 100
B) 36 + 64 = 80
C) 36 - 25 = 11

Solve for x in the triangle. Round your answer to the nearest tenth

Answers

Um is there any attachment?

Use the volume formula to find the volume of the prism.
12
O A. 4 cubic units
O B. 18 cubic units
C. 7 cubic units
O D. 9 cubic units

Answers

answer

7

explain

multiple all of the

Find the measure of < 5.
45 = [?]
<
5
45
51
Enter

Answers

Answer:

m<5 = 129°

Step-by-step explanation:

m<5 + 51° = 180° => same-side interior angles theorem (same-side interior angles are supplementary)

m<5 + 51° - 51° = 180° - 51° => subtraction property of equality

m<5 = 129°

Answer:

solution given:

<5+<51°=180°[co- interior angle]

<5=180°-<51°=129°

<4=129° is your answer

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