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HACTEHA [7]
3 years ago
14

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

Mathematics
1 answer:
Gnom [1K]3 years ago
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:

  • brainly.com/question/10435816
  • brainly.com/question/10435836

#LearnwithBrainly

4 0
3 years ago
Online learning
Stolb23 [73]

It should look like how you would feel comfortable.

Here's an example of my desk:

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:

  • brainly.com/question/1836777
  • brainly.com/question/1993757

#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
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