What is the distance between -8 and 4?

If f(x)=x-6 and g(x)=x1/2(x+3), find g(x) times f(x)

Elden [556K]

To solve this problem you must apply the proccedure shown below:
1. You have the following functions given in the problem above:
$f(x)=x-6 
$ and $g(x)=x1/2(x+3)=x(x+3)/2$ <span>
2. You have that g(x) times f(x) can be written as g(x)*f(x). Therefore, you must multiply f(x) * g(x), as following:
</span> $g(x)*f(x)=(x-6)*x(x+3)/2$ <span>
3. Applying the distributive property, you have:
</span> $g(x)*f(x)=( x^{3} + 3x^2 - 6x^{2} -18x)/2$
$g(x)*f(x)=(x^{3} - 3x^{2} -18x)/2$
The answer is: $g(x)*f(x)=(x^{3} - 3x^{2} -18x)/2$

5 0

4 years ago

Sequence of Transformation

weeeeeb [17]

Answer:

F (4, 2) G (2, 2) H (0, -4)

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is of a mile long. On Monday, Selma

Dmitry [639]

If she ran one mile in an hour wouldn't that mean her unit rate is one mile per hour? I think that's right but ask your teacher for reinsurance.

3 0

3 years ago

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You are offered two different sales jobs. The first company offers a straight commission of 6% of the sales. The second company

tankabanditka [31]

The straight commission offer must be at least as good as the straight commission offer, which requires sales of $12,000 in a week.

<h3>What is Straight Commission?</h3>

Straight Commission: Straight commission can also be referred to as commission-only because it is the only pay an employee receives. There is no base salary or hourly wage included in this pay structure. All compensation is based on an agreed-upon percentage of sales.

Get the complete straight commission offer as the first step.

The straight total commission can be expressed as follows:

A=R x T

A = straight total commission

R=commission rate

T=total sales

In our example,

A=0.06t=0.06 t is replaced by

R=6%=6/100=0.06

T=t in equation 1.

in the 2nd step, the second offer's total value

The total sum of the second offer can be expressed as follows:

A=F+(RT)

A=the amount of income the second company offers

F=weekly fixed wage

R = commission percentage

T = total sales

F in our instance equals $240 weekly.

in the 3rd step

R=4%=4/100=0.04

T=t is replacing A=240+(0.04t)=0.04 t+240 is in equation 2

now equate equations 1 and 2

0.06 t=0.04 t+240

(0.06 t-0.04 t)=240

0.02 t=240

t=240/0.02=12,000

The straight commission offer must be at least as good as the straight commission offer, which requires sales of $12,000 in a week.

To learn more about Straight commission visit:

brainly.com/question/8535450

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6 0

1 year ago

A composite figure is shown.

VikaD [51]

The surface area of the pyramid is 60 square feet

The surface area of the square prism is 480 square feet

The surface area of the cube is 180 square feet

The total surface area is 720 square feet

<h3>Area of Composite figures</h3>

From the question, we are to calculate the surface area of each part of the composite figure

For the cube

Surface area of a cube is given by

$S = 6l^{2}$

Where $l$ is the length of a side

But only have 5 surfaces of the cube are part of the composite figure

∴ Surface area of the cubic part of the figure = $5l^{2}$

From the given information,

$l = 6 \ feet$

∴ Surface area of the cubic part of the figure = 5 × 6²

Surface area of the cubic part of the figure= 180 square feet

For the square prism

The surface area of a square prism is given by the formula,

$S = 2l^{2} + 4lh$

Where $l$ is the length of the sides and

$h$ is the height

But the <u>square surfaces</u> are not part of the surface of the figure

∴ Surface area of the square prism in the figure = $2l^{2} + 4lh - 2l^{2}$

Surface area of the square prism in the figure = $4lh$

From the given information,

$l = 6 \ feet$

$h = 20 \ feet$

Thus,

Surface area of the square prism part of the figure = 4×6×20

Surface area of the square prism part of the figure = 480 square feet

For the pyramid

The pyramid is a square pyramid

The surface area of a square pyramid is given by

$S = l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h ^{2} }$

Where $l$ is the base length

and $h$ is the height of the prism

But the <u>square base</u> is not part of the surface of the figure

∴ Surface area of the pyramid part of the figure = $l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h^{2} }\ - ( l^{2})$

Surface area of the pyramid part of the figure = $2l\sqrt{\frac{l^{2} }{4}+h^{2} }$

From the given information,

$l = 6 \ feet$

$h = 4 \ feet$

∴ Surface area of the pyramid part of the figure = $2(6)\sqrt{\frac{6^{2} }{4}+4^{2} }$

= $12\sqrt{\frac{36 }{4}+16}$

= $12\sqrt{9+16 }$

= $12\sqrt{25}$

= 12 × 5

= 60 square feet

Hence, the surface area of the pyramid is 60 square feet

Thus,

The total surface area = 180 square feet + 480 square feet + 60 square feet

The total surface area = 720 square feet

Hence, the total surface area is 720 square feet

Learn more on Calculating area of composite figures here: brainly.com/question/13175744

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4 0

2 years ago