calculate the average rate of change of the function y= ½x² - 1 over the interval -2 ≤ x ≤ 0​

Answers

Answer 1

Answer: The average rate of change of the function in that interval is r = -1

Step-by-step explanation:

When we have a function f(x), the average rate of change in an interval:

a ≤ x ≤ b

Is calculated as:

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

In this case, the function is:

y = f(x) = (1/2)*x^2 - 1

And the interval is:

-2 ≤ x ≤ 0​

Then the rate of change will be:

[tex]rate = \frac{f(0) - f(-2)}{0 -(-2)} = \frac{((1/2)*(0)^2 - 1) -((1/2)(-2)^2 - 1)}{2} = \frac{-2}{2} = -1[/tex]

The average rate of change of that function in that interval is r = -1


Related Questions

A toy car is 3 inches long. An actual size car is 180 inches long. What is the percent increase from the toy car to actual size car?

Answers

Answer:

600%

Step-by-step explanation:

Answer:

6000% is the percent increase from the toy car to the actual size car.

Step-by-step explanation:

Mark me brainliest? :D

help me plz this is my last chance to get it correct (B is the wrong answer btw)

Answers

Answer: I would think D.

Step-by-step explanation: I'm worried for you, I hope this is correct.

The ratio of small dogs to large dogs at the dog show is 4:3. If there are 56 ​total ​dogs in the show, how many ​large ​dogs are in the show? Show your work by using a tape diagram.

Answers

Answer:

there are 24 large dogs

Step-by-step explanation:

add the ratio 3 plus 4

for large dogs you have 3/7×56

When an equation has one solution, the variable terms on both sides are the same.
O True
O False

Answers

Answer

false

Step-by-step explanation:

When an equation has one (1) solution, the variable terms on both sides are the same: False.

What is system of equations?

A system of equations can be defined as an algebraic equation of the first order with two (2) variables and each of its term having an exponent of one (1).

Mathematically, an equation can be represented as follows:

[tex]x+y=10[/tex]

Where:

x and y are the variable terms.

Generally, the variable terms on both sides are different for an equation that has one (1) solution.

Read more on equations here: https://brainly.com/question/2972832

If f(x) = x - 4, find f(10)

Answers

Answer:

f(10) = 6

Step-by-step explanation:

To evaluate f(10), substitute x = 10 into f(x), that is

f(10) = 10 - 4 = 6

What is the measure of ONE interior angle in a regular triangle (3 sides)?​

Answers

Answer:

60°

Step-by-step explanation:

A regular triangle has three congruent angles. The sum of the angles is 180°, so each angle is 60°.

Im to dum for this, can big brain person do this PLZ

Answers

Answer:

its ur ma and also wheres the picture nobrainer;-;

Step-by-step explanation:

Answer: yeah i see cuz theres nothing

Step-by-step explanation:

Price-club sells a 12-ounce box of crackers for $2.59 and Shop Mart sells a 1-pound box of crackers for $4.68. The unit price at Price-Club is $ per ounce, and the unit price at Shop Mart is $ per ounce.

Answers

Answer:

$0.216 and $0.293

Step-by-step explanation:

Given,

Price club sells 12 ounce box = $2.59

Shop mart sells a 1 pound box = $ 4.68.

We have to find the unit price at Price club and Shop mart.

We know that 1 Pound = 16 ounce

Unit price at Price-club = [tex]\dfrac{2.59}{12}[/tex]

                                      = $0.216

Unit price at Shop Mart= [tex]\dfrac{4.68}{16}[/tex]

                                      = $0.293

It's actually [tex]1 \frac{1}{2}[/tex] pounds, not 1 pound.

because I got this question too. On odysse.yware.

Answer:

0.21 and 0.19

Step-by-step explanation:

It's simple, just divide it.

Divide 2.59 by 12 and divide 4.68. Then round the answers to the closest number in the choices. That's your answer buddy!

What is 5 and 2/3 equivalent to

Answers

Answer:

17/3

Step-by-step explanation:

Help
ASAP
I’ll mark
You as brainlister

Answers

Answer:

22.78

Explanation:

Given:
Rise:3
Run:7

We need to find angel x

Using trigonometric ratio:
Tan(0)= perpendicular/base

Tan(angel x) = 3/7= 0.42

Angel x = tan-1(0.42)= 22.78

A student incorrectly solved an exponential equation looking at the work shown, what mistake did the student make

Answers

Answer:

i have made it in pic above

Count to find the slope. ​

Answers

Answer:

The slope is 6/7 or -7/6.

Step-by-step explanation:

You could go from the lower dot and count to the line of the upper dot and then go to the right until you hit the dot or you would start at the upper dot and count down to the line of the lower dot and go to the left until you hit the dot.

In this triangle, the product of sin B and tan C is
and the product of sin Cand tan B is

Answers

Answer:

[tex]\frac{c}{a}[/tex] and [tex]\frac{b}{a}[/tex]

Step-by-step explanation:

sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{b}{a}[/tex]

tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{c}{b}[/tex]

Thus

sinB tanC = [tex]\frac{b}{a}[/tex] × [tex]\frac{c}{b}[/tex] ( cancel b on numerator/ denominator )

                 = [tex]\frac{c}{a}[/tex]

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

sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{c}{a}[/tex]

tanB = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{b}{c}[/tex]

Thus

sinC tanB = [tex]\frac{c}{a}[/tex] × [tex]\frac{b}{c}[/tex] ( cancel c on numerator/ denominator )

                 = [tex]\frac{b}{a}[/tex]

Scale Factor = 1 is it reduction or enlarge

Answers

I think it’s reduction

Answer:

The image remains the same.

Step-by-step explanation:

If the scale factor is one, then the image is not reduced or increased, it remains the same. This is because, if one multiplies the original image by the scale factor, then one will get the scaled answer. If one multiplies anything by 1, then they will get the number they multiplied by 1 (this is called the multiplicative identity property), hence the image remains the same.

exponential part 2.. help

Answers

Answer:

The answer would be 9

Step-by-step explanation:

27^2 would be 729

27^4/3 would be 81

now you have 729/81

divide 729/81=9

A touchdown in football counts for 6 point. If n stands for the number of touchdowns, equation represents how many point n touchdowns worth?

Answers

Answer:

Step-by-step explanation:

y=6x

En un triángulo ABC, "I" es incentro del triángulo ABC. En AC se ubica el punto D, tal que m∡AID=90, BI = 18 y CD = 2, calcule IC.

Answers

I wanna get a breast reduction I’m tired of these big Cherries on my chest

On Sunday, Chris bought 5% of the cans from his grocery store in preparation for hurricane Sandy. If he bought 61 cans, how many cans did his grocery store have originally?

Answers

Answer:

1220 cans

Step-by-step explanation:

Let the number of cans be x

5% of x is 61, solve the equation below for x:

x*0.05 = 61x = 61/0.05x = 1220 cans

simplify the expression: -3b - 3b

Answers

Answer:

Step-by-step explanation:

-3b - 3b= (-3b)+(-3b)= -6b

Answer:

the answer is: -6b

Step-by-step explanation:

you would subtract 3b from -3b making it -6b

What are the coordinates of point A?


(–2, –6)
(–6, –2)
(–6, –3)
(–3, –6)

Answers

Answer:

Choice (-3, -6)

Step-by-step explanation:

Count from the x axis first then the y axis.

Point A moved 3 units to the left, then moved 6 units down.

Answer:

(-3,-6)

Step-by-step explanation:

the definitely correct

What is the equation of the graphed line written in
standard form?
x= -3
y= -3
x + y= -3
x-y= -3

Answers

Answer: x-y= -3.... I'm just here to help so I don't know if its the right answer but if it is let me know.

Step-by-step explanation:

Subtract (4x2 - x + 6) from (3x2 + 5x - 8).
A. O 7x2 + 6x - 14
B. 7x2 + 4x - 2
C.x2 - 6x + 14
D. -x2 + 6x - 14

Answers

Answer:

[tex]\left(3x^2+5x-8\right)-\left(4x^2-x+6\right)=-x^2+6x-14[/tex]

Hence, option D is correct.          

Step-by-step explanation:

We have to subtract (4x² - x + 6) from (3x² + 5x - 8).

so

[tex]\left(3x^2+5x-8\right)-\left(4x^2-x+6\right)[/tex]

Remove parentheses: [tex]\left(a\right)=a[/tex]

[tex]=3x^2+5x-8-\left(4x^2-x+6\right)[/tex]

[tex]=3x^2+5x-8-4x^2+x-6[/tex]

Group like terms

[tex]=3x^2-4x^2+5x+x-8-6[/tex]

Add similar elements:  [tex]\:3x^2-4x^2=-x^2[/tex]

[tex]=-x^2+5x+x-8-6[/tex]

Add similar elements:  [tex]5x+x=6x[/tex]

[tex]=-x^2+6x-8-6[/tex]

Subtract the numbers: [tex]-8-6=-14[/tex]

[tex]=-x^2+6x-14[/tex]

Therefore,

[tex]\left(3x^2+5x-8\right)-\left(4x^2-x+6\right)=-x^2+6x-14[/tex]

Hence, option D is correct.                                      

what does this symbol mean in math: •

Answers

Answer: Multiplication

Step-by-step explanation:

Hope this helps :)

Answer:

Because it's taken out of context, I am not completely certain, but I'm pretty sure it's just another way to write the multiplication symbol. A lot of people like it because it's faster to write, and you won't confuse it with the variable x.

Hope this is helpful to you!

Solve for X for A and B

Answers

Answer:

A. x = 3B. x = 3

Step-by-step explanation:

Question A

Using the proportions of similar triangles:

(7x + 4 + 15)/(12 + 20) = 15/12(7x + 19)/32 = 5/47x + 19 = 407x = 21x = 3

Question B

(6x - 3)/(6 + 4) = (6x - 3 - 6)/63(2x - 1)/10 = 3(2x - 3)/66(2x - 1) = 10(2x - 3)3(2x - 1) = 5(2x - 3)6x - 3 = 10x - 1510x - 6x = 15 - 34x = 12x = 3

Find the missing sides.
(Help me)

Answers

Answer:

2nd one

Step-by-step explanation:

when it's a 45 45 and 90 triangle, it's 1, 1, sqrt 2, but now since the 1 is sqrt 2, v is sqrt 2, and u and sqrt 2 times sqrt 2, which is 2

in 20 seconds a rollercoaster goes up a 100-meter hill then down 72 meters and back up a 48-meter rise how much higher or lower from the start of the ride is the coaster after 20 seconds?

Answers

The answer would be 22 nesters

HELLPPPP NEEEEEDDDEEEEDD



Thank you very much!

Answers

Answer is A.) hope I helped!!!

Answer:

Answer C

Step-by-step explanation:

Explain how the product of 3 and 65 could be used to find 0.03 x 0.65

Answers

Answer:

because u just do 3 x 65 then you divide by 10  two times

Step-by-step explanation:

URGENT!! The partial results of a movie survey are represented in the two-way frequency table below. Complete the two-way frequency table.

Answers

Answer:

in male 2nd column fill 33. In female 1st column fill 29 and in 3rd one fill 50. In total 2nd column fill 54

Giving brainliest! Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 45 + 72?

3 (15 + 24)
9 (5 + 8)
(5) (9) + (2) (36)
(3) (15) + (8) (9)

Answers

Answer:

b. 9 (5+8)

Step-by-step explanation:

Answer:

Step-by-step explanation: (5+9)

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