What is the average rate of change of the function f(x)=2x2+8 over the interval [2, 6]? A 2 B 4 C 12 D 16

Answers

Answer 1

Answer:

D. 16

Step-by-step explanation:

Average rate of change: [tex]\frac{f(a) - f(b)}{a-b}[/tex]

Simply plug in 6 for a and 2 for b

Answer 2

Answer:

16

Step-by-step explanation:

Average rate of change is

f(6) - f(2)

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

6-2

f(6) = 2(6)^2 +8 = 2 *36 +8 = 80

f(2) =  2(2)^2 +8 = 2 *4 +8 = 16

80 - 16

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

6-2

64/4

16


Related Questions

Jason’s budget is shown in the circle graph below. His total monthly budget is $3,000. How much does Jason spend on groceries?
A $25
B $150
C $450
D $750

Answers

Answer:

D.) 750

Step-by-step explanation:

3000-25%= 2250

3000-2250=750

Answer:

(D) $750

Step-by-step explanation:

[tex]3000* 0.25=750[/tex]

Jaxon’s mother spends more than 2 hours cleaning the house. The inequality x greater-than 2 represents the situation. Which graph represents the inequality? A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded. A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the left of the circle is shaded. A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the right of the circle is shaded. A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the left of the circle is shaded.

Answers

Answer:

A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.

Step-by-step explanation:

x > 2 is the inequality

It is open circle at 2 as 2 is not included. Shaded to the right of the circle as it should be greater than 2

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

A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.

Yes, this is the correct option

A number line going from negative 3 to positive 7. An open circle is at 2.  Everything to the left of the circle is shaded.

No, it should be right not left

A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the right of the circle is shaded.

No, it should be open circle as 2 is not included

A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the left of the circle is shaded.

No, it should be open circle and right side to be shaded, not left

Answer:

It's A I did the test. I got 100%.

Step-by-step explanation:

Please give brainliest if it helped you! Thanks, have a great day <3

PLS HELP How many cubes with side lengths 1/4 of does it take to fill the prism

Answers

1 whole or 4/4 time's what its being compaired to then multiply to get your answer! :D stay safe!

Answer:

224

Step-by-step explanation:

Khan hehe

Im not really sure how to answer this

Answers

Answer:

part a is the correct answer

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Dot plot because it is true that Ms. Spencer needs to see the individual data values because she wants to the number of students is most common so for example if 6 people have 2 siblings, she would know that 6 people has 2 siblings because she could could the 6 people!

The following data summarizes
yesterday's orders at Sizzlin' Skillets. 3
Vegetable, 6 Chicken, 2 Pork, 2 Beef, 5
Shrimp. Based on this data, what is a
reasonable estimate of the probability
that the next type of stir fry ordered is
vegetable?
A: 0.11
B: 0.17
C: 0.28
D: 0.33​

Answers

Answer: 3/21=1/7

Step-by-step explanation:

hey pls show some working i need some serious help

Answers

Answer:

[tex]\frac{x^{12}y^{4}}{z^3}[/tex]

Step-by-step explanation:

Step 1: Multiply exponents

[tex]\frac{y^{6/6}z^{-6/2}}{x^{-12}y^{-6/2}}[/tex]

Step 2: Simplify

[tex]\frac{yz^{-3}}{x^{-12}y^{-3}}[/tex]

Step 3: Flip the negative exponents

[tex]\frac{x^{12}y^{4}}{z^3}[/tex]

In ΔCDE, m∠C = (9x+11)^{\circ}(9x+11) ∘ , m∠D = (3x-15)^{\circ}(3x−15) ∘ , and m∠E = (2x+16)^{\circ}(2x+16) ∘ . What is the value of x?

Answers

Answer:

x = 12

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

9x + 11 + 3x - 15 + 2x + 16 = 180, simplify left side

14x + 12 = 180 ( subtract 12 from both sides )

14x = 168 ( divide both sides by 14 )

x = 12

The sum of three consecutive integers is 270. Find the integers

Answers

Answer:

Step-by-step explanation:

89,90,91

Answer:

Let's call the first integer x, and therefore, the second and third integers would be x + 1 and x + 2 respectively since they are consecutive. Since their sum is 270 we can write:

x + x + 1 + x + 2 = 270

3x + 3 = 270

3x = 267

x = 89 which means that the answer is 89, 90, 91.

Helpppppppp??????????

Answers

Answer:

Answer is option d

Answer is given below with explanations.

Step-by-step explanation:

We can prove that the two triangles are similar.

We can prove this using AA criterion of similarity.

In triangle DNC and triangle QSC

Vertically opposite angles are equal.

Then Angle QCS = Angle DCN

Two parallel lines cut by a transversal line make the alternate angles are equal.

Then Angle NDC = Angle CQS

By AA criterion of similarity

TRIANGLE DNC ~ TRIANGLE QSC

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

The awnser is D I hope I could helppp

Find the output, y, when the input, x is −4

Answers

Answer:

i mean if i was you it would be 4 postive , in my math head

Step-by-step explanation:

The value of a car decreases $500 for every 1,000 miles it is driven. The current value of the car is $23,000, and the car is driven an average of 10,000 miles per year. What will be the value of the car, in dollars, at a point in time y years from now?

A) $23,000 − $500y

B) $23,000 − $0.02y

C) $23,000 − $5,000y

D) $23,000 − $0.0002y

Answers

Answer: C

Step-by-step explanation:

If we know the value of the car decreases $500 for every 1,000 miles, and that the car is driven about 10,000 miles every year, that means that you need to take the total value of the car (23,000) and subtract it from the amount of money it is losing per year. Again, the car is driven about 10,000 miles per year, so that means that the car will most likely continue to be driven 10,000 miles per year. If you do the math, for one year, the value of the car will drop $5,000 ($500 x 10, because it is $500 per every 1,000 miles) So, for each year, you can just multiply the number of years by $5,000 to find out how much the vehicle has depreciated over time.

Hope this helped you and made sense! Feel free to ask me any questions you have!

What is the equation for a school sales pencils to students for $.25 each. If a student has nine dollars how many pencils can a student by

Answers

Answer:

x=36

Step-by-step explanation:

1=0.25

x=9

0.25x=9

divide both sides by 0.25

so x=36

a student can buy 36pencils with 9 dollars

Answer:

Step-by-step explanation:

9/0.25=9/1/4=9*4=36

If 3* = 54, then which of the following must be true?

Answers

Answer: 3 < pi < 4

Step-by-step explanation:

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

Answer:

243,729

Step-by-step explanation:

You just need to multiply each number by 3.

I hope this help you :)

Answer:

243, 729

Explanation:

To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.

Take a look at the sequence given:

1, 3, 9, 27, 81,...

Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.

1 - first term

3 - second term

1 ? ? = 3

1 × 3 = 3

So, this means the sequence multiplied three to get the next term. Therefore, the pattern should be 'multiply three' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.

1, 3, 9, 27, 81,...

1 × 3 = 3

3 × 3 = 9

9 × 3 = 27

27 × 3 = 81

So, since 'multiply three' every time gives us the next term, the pattern is correct.

Finally, let's continue the pattern to find the next two terms.

81 × 3 = 243

243 × 3 = 729

Therefore, the next two terms in the sequence are 243, 729.

can you divide by zero

Answers

Answer:

No

Step-by-step explanation:

When you divide by 0, you will get an undefined error. When you try to graph a divide by 0, you will get asymptotes.

Answer:

no

Step-by-step explanation:

y=-2
x=-2y=6

y=-2
x+2y=6

x=-2
2x-y=3

x=-2
2x+y=-3

Answers

Answer:x+y=24  

is the respuesta

Which of the following are solutions to lx-1|=5x+2? Check all that apply

Answers

Answer:

x=-3/4 x=-1/4

Step-by-step explanation:

x-1=5x+2

-3=4x

x=-3/4

x+1=5x+2

-1=4x

x=-1/4

Find the average rate of change of the function

f(x) = x² + 9x from x1 = 1 to x2 = 5.

Answers

Answer:

15

Step-by-step explanation:

The function is;

f(x) = x² + 9x

We are to find the average rate of change from point [tex]x_{1}[/tex] = 1 to point [tex]x_{2}[/tex] = 5

Average rate of change = [tex]\frac{f(x+h) - f(x)}{h}[/tex]  where h is the change in x-axis

When x = 1 , f(x) = 1² + 9(1) = 10

When x = 5, f(x) = 5² + 9(5) = 70

f(x + h) - f(x) = 70 - 10 = 60

h = 5 - 1 = 4

So average rate of change = [tex]\frac{60}{4}[/tex] = 15

The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to

x₂ = 5 will be 15.

What is Average rate?

The average rate change is defined by divide the change in y - values by the change in x - values.

Given that;

The function is defined as;

⇒ f(x) = x² + 9x ; from x₁ = 1 to x₂ = 5

Now,

The formula for the average rate change is given as;

Average change = f (x + h) - f (x) / h

Where, h is change in x - axis.

Since, The function is;

f(x) = x² + 9x

When,  x₁ = 1

f(x) = x² + 9x

f(1) = 1² + 9

f (1) = 10

When, x₂ = 5

f(x) = x² + 9x

f(x) = 5² + 9 x 5

f (5) = 25 + 45

f (5) = 70

So, Average change = f (x + h) - f (x) / h

Average change = 70 - 10 / (5 - 1)

                         = 60 / 4

                         = 15

Thus, The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to x₂ = 5 will be 15.

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What is the solution set of the equation x+3x+2=3+1x? Note: x≠0, −2 {−1, 1} {2} {−1, 2} {−1}

Answers

Answer:

Interpreting as: x+3x+2=3+1x

Input:

x + 3 x + 2 = 3 + 1 x

Result:

4 x + 2 = x + 3

We want to find the solution set of the equation:

x + 3x + 2 = 3 + 1/x

The solution set is { (1 + √17)/8, (1 - √17)/8)}

To find this, we just need to solve the equation for x.

We start with:

x + 3x + 2 = 3 + 1/x

We simplify this to:

(x + 3x) + 2 = 3 + 1/x

4x + 2 = 3 + 1/x

4x + 2 - 3 - 1/x = 0

4x - 1 - 1/x = 0

Then we multiply by x in both sides to get:

4x^2 - x - 1 = 0

This is just a quadratic equation, the solutions are given by Bhaskara's equation.

[tex]x = \frac{-(-1) \pm \sqrt{(-1)^2 - 4*4*(-1)} }{2*4} \\\\x = \frac{1 \pm \sqrt{17} }{8}[/tex]

Then the solution set is: { (1 + √17)/8, (1 - √17)/8)}

If you want to learn more, you can read:

https://brainly.com/question/17177510

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

Answers

Answer:

x = 5.5 to the nearest tenth.

Step-by-step explanation:

Here we have a right triangle with one angle (65 degrees) given.  Side x is the "side adjacent to the angle" and is to be found.  The hypotenuse is 13.

The cosine function makes use of these three knowns:  the angle, the hypotenuse and the adjacent side.  Thus:

cos 65 degrees = adj / hyp = x / 13, or

x = 13 cos 65

Evaluating this on a calculator, we get  x = 5.49, or x = 5.5 to the nearest tenth.

idk so help pls
10 point ​

Answers

Answer:

30 milk chocolates

Step-by-step explanation:

42 ÷ 7 = 6 - a fraction of the chocolates

6 x 5 = 30 - the milk chocolates (7+5 = 12 which is the whole fraction).

Edmund makes a cube using eight small cubes.

Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund’s cube

Answers

Answer: 184

Step-by-step explanation:

so edmund would have a 2 by 2 cube (try and draw it out if that helps) so

2 x 2 = 4

2 x 3 = 6

2 x 4 = 8

so samuel cubeboid would be

long = 4

wide = 6

hight = 8

8 x 6 x 4 = 192 small cubes

but we are trying to find how much more samuel got

so 192 - 8 = 184

6,000 = bu + 4,000. Given the above equation with constant b, what is the value of 600,000 + 100 bu + 400,000 in millions?

Answers

Answer:

1.2 million

Step-by-step explanation:

First multiply the equation by 100. You get:  

600,000 = 100bu + 400,000

Now recognize that you can substitute:

600,000 + 100bu + 400,000

= 600,000 + (600,000)

= 1,200,000

That’s 1.2 million.

The value of the equation given is 1.2 millions.

What are equations?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given that, an equation, 6,000 = bu + 4,000, we need to find the value of the equation 600,000 + 100 bu + 400,000,

So, In the equation 1, multiply by 100, we get,

6,000 = bu + 4,000

600000 = 100 bu + 400000

Now, put this in equation 2,

600,000 + 100 bu + 400,000

= 600000 + 600000

= 1200000

= 1.2 millions

Hence, the value of the equation given is 1.2 millions.

Learn more about equations, click;

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The parabola whose equation is
y = ax2 + bx + c passes through the points
(-3, -40), (0, 29), and (-1, 10). What is an
equation of the line of symmetry?
PLEASE EXPLAIN bc I really don’t understand

Answers

Answer:

29

Step-by-step explanation:

23

Find the measure of angle x in the figure below:
to

Answers

Answer:

70

Step-by-step explanation:

55 + 55 = 110

180 - 110 = 70

The angle is congruent to 70º

Answer:

70°

Step-by-step explanation:

Angles in a triangle add up to 180°.

180° - 55° - 55° = 70°

Vertically opposite angles, so x° = 70°.

hi:) I tried using the sine rule but I couldn’t get the ans :( anyone able to help? Thank you:)!!

Answers

Answer:

141.9° (1 d.p.)

Step-by-step explanation:

Please see attached picture for full solution.

Sine rule cannot be used since there is no given angle in △PQR. Note that the bearing of Q from P (041°) equals to ∠NPQ not ∠PQR.

Which expression is equivalent to -12 (3x-3/4)? a. -36x-8 b. -36x+8 c. -36x-9 d. -36 x+9

Answers

Answer:

-36x +9

Step-by-step explanation:

-12 (3x-3/4)

Distribute

-12*3x - 12*-3/4

-36x +9

Answer:

d

Step-by-step explanation:

Line a is parallel to line b. If the measure of <2 is 78, what is the measure of <5

Answers

Step-by-step explanation:

x + 78 = 180

x = 180 - 78

x = 102° for <5

A triangle has vertices A (-5, -4), B (2, 6), and C (4, -3). The center of dilation is the origin and (x, y) changes to (3x, 3y). What are the vertices of the dilated image?

Answers

Answer:

(-15,12),(6,18)(12,-9)

Step-by-step explanation:

Given

A (-5, -4), B (2, 6), and C (4, -3)

Dilated from (x,y) to (3x,3y)

Required

Vertices of the dilated image

First, the scale factor has to be calculated

This is calculated as thus;

Dilation = Original * Scale Factor;

In case of (x,y) to (3x,3y)

So, we have

[tex](3x,3y) = Scale\ Factor * (x,y)[/tex]

Simplify brackets

[tex]3(x,y) = Scale\ Factor * (x,y)[/tex]

Divide both sides by (x,y)

[tex]\frac{3(x,y)}{(x,y)} = \frac{Scale\ Factor * (x,y)}{(x,y)}[/tex]

[tex]\frac{Scale\ Factor * (x,y)}{(x,y)}=\frac{3(x,y)}{(x,y)}[/tex]

[tex]Scale\ Factor =\frac{3(x,y)}{(x,y)}[/tex]

[tex]Scale\ Factor =3[/tex]

Now, the vertices of the new image can be calculated;

Using the formula: Dilation = Original * Scale Factor;

At vertex A(-5,4)

Dilation = (-5,4) * 3

Dilation = (-5*3 ,4*3)

Dilation = (-15,12)

At vertex B(2,6)

Dilation = (2,6) * 3

Dilation = (2*3 ,6*3)

Dilation = (6,18)

At vertex C(4,-3)

Dilation = (4,-3) * 3

Dilation = (4*3 ,-3*3)

Dilation = (12,-9)

Hence, the vertices of the dilated image are (-15,12),(6,18)(12,-9)

What percent of the rectangle below is shaded?

Answers

Answer:

80% of the rectangle is shaded.

Step-by-step explanation:

There are 10 rows and of those rows 8 are shaded.

Answer:

D

Step-by-step explanation:

80/10

10 20 30 40 50 60 70 80 90 100

 8 shaded so 80 percent

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