The function h(x) is given in the table above.
Which of the following choices shows the
average rate of change of the function over the
interval 2 ≤ x ≤ 6?
A. 6/4
B. -3/2
C.-7/6
D. -1

Answer:

D

Step-by-step explanation:

If you look at the right side of each piecewise function, you will see the x-values. That is what we will be focusing on in this explanation. All four equations have x > 4, and we know that to be true. If you look at the equation on the graph going South West, you will see that the endpoint is at x=1. Only 1 equation, D, has this in the piecewise function. To confirm it is D, you can see that 1<x<4 is also in the piecewise function, and all the values line up with their corresponding y-values.

Hope this helps! :)

Answer:

Step-by-step explanation:

(f+g)(4) = f(4) + g(4)

           = 2(4) - 9 + 4² + 3

           = 8 - 9 + 16 + 3

           = -1 + 16 + 3

           = 15 + 3

           = 18

The cosine function that can model this real-world scenario is:
f(x) = -106cos (4x) + 106. See how the same is derived below. The full question is also attached.

A Cosine Function is a periodic function that is denoted as Cos x. See the attached image.

The above function is derived as follows:

T = 2π/4 = π/2 = 2π/ω

Therefore, ω = 2π/π/2 = 4

This means f(x)= -106 cos (4x) + 106

Learn more about Cosine Functions at:
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Answer:

45%, 9/20, etc.

Step-by-step explanation:

Well, if it is 27 out of the 60, then you can divide each by 3 to get 9/20. Then, you multiply both by 5, and get 45/100. Therefore, the probability is 45% or 9/20, however you put it.

Answer:

I got 0.12 edited*

Step-by-step explanation:

Answer:  

D) 0.12

Step-by-step explanation:

The max value is 100%.

Add .71 + .17 = .88

Lets change .88 to 88.

100 - 88 = 12

make 12 a decimal.

0.12

Answer:

Sector A sector C sector D correct answers

Answer: A, C, D

Step-by-step explanation:

The reason for this is because you plug it in as a fraction to simplify.

Example: 9π/3 simplify to 3π/1 because both divide by 3

Answer:

B

Step-by-step explanation:

When you think about it, turn all the answers upside down and see if any of them look just like the figure you are given

Step-by-step explanation:

[tex]f(x) = {x}^{3} + 6 {x}^{2} + 5x + 12[/tex]

x intercept = -1, 3 and 4

y intercept = 12

Answer:70,470 dollars

Step-by-step explanation:

Answer:

$3 per square foot

Step-by-step explanation:

Find the area of all the surfaces around the rectangle, by multiplying length times width of each side.

Then add all of the answers together and divide by how much the wallpaper cost by square foot, which would be 522/174 which equals 3.

Answer:

It would be A because the probability is above 0 percent however it is below 50 percent which is 0 and 0.5 in the question.

Step-by-step explanation:

Answer:

  [tex]\dfrac{xy}{pm}=8[/tex]

Step-by-step explanation:

If x varies directly as the product of p and m, and inversely with y, the relation can be written ...

  x = k(pm)/y . . . . where k is the constant of proportionality

__

This can be solved for k:

  k = xy/pm

For the given values, the value of k is ...

  k = (2)(4)/((0.5)(2)) = 8

Then the relation between the variables can be written ...

  (xy)/(pm) = 8

Answer:

B

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

The inequality is saying that 4×x is more than 21

4×5 = 20 which is not more than 21

4×6 = 24 which is more than 21

Therefore the lowest integer solution to this is that x = 6

Answer:

[tex]4x > 21[/tex]

[tex]\cfrac{4x}{4} > \cfrac{21}{4}[/tex]

[tex]x > \cfrac{21}{4}[/tex]

I'd say no!

Answer:

tan C = 5/√39

Step-by-step explanation:

tan C = opp/adj

For angle C, the opposite leg is AB, 5.

The adjacent leg is BC, √39.

tan C = 5/√39

Answer:

1:3

Step-by-step explanation:

9:3=3

3.6:1.2=3

A is 3 times greater than B. It means that the scale factor from A to B is 1:3

Answer:

18

Step-by-step explanation:

to solve this we need to find how frequent pink is landed on. to find the frequency we add all the total

12+6+9+13=40

then we divide 6 (frequency of pink) by 40 to fing how frequent 6 is in percentage

6÷40=.15=15%

then we multiply 15% by 120

120×.15= 18

The two angles given are supplementary angles so when added together need to equal 180 degrees.

2x-1 + 4x+28 = 180

Simplify:

6x +27 = 180

Subtract 27 from both sides:

6x = 153

Divide both sides by 6:

x = 25.5

Answer:

Your answer Exterior C is 160°

Interior C is 20°

Step-by-step explanation:

<A + <B + <C = 180°

<Left C + <Right C = 180°

<A + <B = <Right C

(5x - 10)° + 12x° = 16x

17x - 10 = 16x

x = 10

<A = 5x - 10

<A = 5*10 - 10

<A = 50 - 10 = 40°

<B = 12x

<B = 12*10

<B = 120°

<A + <B = <Right C.

40° + 120° = 160°

The space that will be on either side if its placed on the pedestal of the cylinder that is 18 inches across will be 4.47 inches.

It should be noted that the volume of a cylinder is given as:

= πr²h

We'll then slot the values given into the formula. This will be:

Volume = πr²h

1130.97 = (3.14 × r² × 18)

1130.97 = 56.52r²

r² = 1130.97/56.52

r² = 20

r = ✓20

r = 4.47

In conclusion, the space will be 4.47 inches.

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Answer:

1 3/5 miles

Step-by-step explanation:

7 4/5 - 6 1/5

= 7 - 16+ (4/5 - 1/5)

= 1 + 3/5

= 1 3/5

Answer:

ordered the numbers below from least to greatest

Ascending Order: -√100 , 9 4/11 , 9.46 , 9.5

hope that helped...

The statement that is true based on the Pythagorean identities is  cotangent-squared of theta - cosecant-squared of theta = -1.

Note that cotangent-squared of theta - cosecant-squared of theta = -1. is tru because it is the only equation that is correct.

So therefore,  cotangent-squared of theta - cosecant-squared of theta = -1.

Learn more about Pythagorean from

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Answer:

BCE

Step-by-step explanation:

edg

Answer:

No picture is displayed

The completely factored form of f(x) = 6x³ - 13x² - 4x + 15 is f(x) = (x + 1)(2x - 3)(3x - 5)

The expression is given as:

f(x) = 6x³ - 13x² - 4x + 15

Expand the expression

f(x) = 6x³ - 19x² + 6x² + 15x - 19x + 15

Rewrite as:

f(x) = 6x³ + 6x² + 15x- 19x²   - 19x + 15

Factorize the equation

f(x) = (x + 1)(6x²- 19x + 15)

Expand (6x² - 19x + 15)

f(x) = (x + 1)(6x² - 10x - 9x + 15)

Factorize the expression

f(x) = (x + 1)(2x - 3)(3x - 5)

Hence, the completely factored form of f(x) = 6x³ - 13x² - 4x + 15 is f(x) = (x + 1)(2x - 3)(3x - 5)

Read more about factorized expression at:

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Answer: D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex]11\frac{3}{8}[/tex]

Answer:

C)

Step-by-step explanation:

u =  x + 1

u - 1 = x

[tex]\int\limits {\dfrac{x}{\sqrt{x+1}}} \, dx = \int\limits {\dfrac{u-1}{\sqrt{u}}} \, du \\\\[/tex]

                   [tex]=\int {\left(\dfrac{u}{u^{\frac{1}{2}}}-\dfrac{1}{u^{\frac{1}{2}}} \right )\, du \\\\ = \int {u^{1-\frac{1}{2}}-1*u^{\frac{-1}{2}}} \, du\\\\ =\int {(u^{\frac{1}{2}}-u^{\frac{-1}{2}})} \, du[/tex]

Answer:

A. [tex]\frac{14}{200}[/tex]

Step-by-step explanation:

There are 200 people in total to choose from, and only 14 of them are 6' and male.