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3 years ago

If f(x)=5x^3 and g(x)=x+1 find (fxg)(x)

1 answer:

5 0

(f o g)(x) = f(g(x)) so we plug in the equation for g(x) where the x-variable is in f(x).

5(x + 1)³
5[(x + 1)(x + 1)(x + 1)]
5[(x² + 2x + 1)(x + 1)]
5(x³ + 3x² + 3x + 1)

(f o g)(x) = 5x³ + 15x² + 15x + 5

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Twice the difference of a number and 3 equals 2 use the variable c for the unknown number.

Lesechka [4]

The number is 4

Step-by-step explanation:

First of all we have to convert the given statement in mathematical form.

Let c be the number then according to given statement

$2(c-3) = 2$

We have to isolate the variable in the equation

Dividing both sides by 2

$\frac{2(c-3)}{2} = \frac{2}{2}\\c-3 = 1$

Adding 3 on both sides

$c-3+3 = 1+3\\c = 4$

Hence,

The number is 4

Keywords: Linear equation, variables

Learn more about linear equation at:

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4 0

3 years ago

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Stolb23 [73]

It should look like how you would feel comfortable.

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8 0

3 years ago

Read 2 more answers

You have 8 gallons of lemonade to sell. You use cone-shaped cups that are 9 centimeters in diameter and 12 centimeters tall. Eac

andre [41]

You will need 119 cups to sell all of the lemonade.

Step-by-step explanation:

Given,

Diameter of cups = 9 cm

Radius of cup = $\frac{Diameter}{2}=\frac{9}{2}=4.5\ cm$

Height of cups = 12 cm

We will find volume of cup.

$Volume = \frac{1}{3}\pi r^2h\\$

Putting all the values

$Volume=\frac{1}{3}(3.14)(4.5)^2(12)\\\\Volume=\frac{1}{3}(3.14)(20.25)(12)\\\\Volume= \frac{763.02}{3}\\\\Volume= 254.34\ cm^3$

Therefore;

Each cup can hold 254.34 cubed centimeter of lemonade.

Number of gallons = 8

1 gallon = 3785 cm³

8 gallons = 3785*8 = 30280 cm³

Let,

x = Number of cups

Volume of lemonade in one cup * Number of cups = Volume of 8 gallons

254.34x=30280

Dividing both sides by 254.34

$\frac{254.34x}{254.34}=\frac{30280}{254.34}\\x=119.05$

Rounding off to nearest whole number

x = 119

You will need 119 cups to sell all of the lemonade.

Keywords: volume, division

Learn more about volume at:

#LearnwithBrainly

4 0

3 years ago

Determine two coterminal angles in degree measure (one positive and one negative) for each angle. (There are many correct answer

Nat2105 [25]

Answer:

(a) Coterminal =495, -225

(b) Coterminal = 135,-585

Step-by-step explanation:

The angles are:

(a) 135° (b) −225°

The coterminal angle of angle x is derived by:

$Coterminal = x \± 360$

Solving (a): 135°

Substitute 135 for x in $Coterminal = x \± 360$

$Coterminal =135 \± 360$

Split

$Coterminal =135 + 360, 135 - 360$

$Coterminal =495, -225$

Solving (b): -225°

Substitute -225 for x in $Coterminal = x \± 360$

$Coterminal =-225 \± 360$

Split

$Coterminal = -225 + 360,-225 - 360$

$Coterminal = 135,-585$

7 0

3 years ago

How do you solve <br> 13x7(-3 x -1)=-63

kozerog [31]

Your answer is: x= -4/39

4 0

3 years ago