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3 years ago

F(x)=3x and g(x)=x+2 find fog(x),gof(x),fog(2),gof(2)

Mathematics

1 answer:

Gala2k [10]3 years ago

8 0

Answer:

Step-by-step explanation:

fog(x)=f(g(x)) =f(x+2) =3⋅(x+2) =3x+6

gof(x)=g(f(x))=g(3x) =3x+2

gof(2)=3⋅2+2 =6+2 =8

fog(2)=3⋅(2+2) =3*2+6=12

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3 quarts but in cups

Sedaia [141]

Answer:

12 cups

Step-by-step explanation:

there are 4 cups in 1 quart. You multiply both of them by 3 so there are 12 cups in 3 quarts

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3 years ago

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In right triangle ABC, the measure of angle A is 25 degrees, angle c is 90 degrees, and AB = 1. what is the length of AC?

Allisa [31]

Answer:

b= 0.9

Step-by-step explanation:

first you find angle B: 180-90-25=65

then you will do law of sine- sin A/a=sin B/b=sin C/c

sin(90)/1=sin 65/b

sin(90)*b=sin(65)*1

sin(90)*b=0.9

b=0.9/sin(90)

b= 0.9

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3 years ago

The following formula relates three quantities Force (F) mass (m) and acceleration (a).

Agata [3.3K]

a. F = ma

F/a = ma/a

m = F/a

b. F = ma

-30 = -6a

a = 5

c. F = ma

30 = 10a

a = 3

4 0

3 years ago

One-third a number (x) added to one-half the number equals nine less than the number

Anna11 [10]

The answer to your question is:

1/3x + 1/2x = x - 9

8 0

3 years ago

The area of a right triangle is given by the expression:

lorasvet [3.4K]

The expression that models the length of the second leg of the triangle is 2x - 3.

Recall:

The area of a triangle = $\frac{1}{2} bh$

Given:

Area of triangle = $\frac{1}{2} (6x^2 - 7x - 3)$

Length of one of the legs = 3x + 1

Therefore, it means that multiplying both legs should give us:

$6x^2 - 7x - 3$

To find the expression that models the other leg, divide $6x^2 - 7x - 3$ by 3x + 1:

Thus:

$\frac{6x^2 - 7x - 3}{3x - 1}$

Factorize the numerator

$\frac{6x^2 - 2x - 9x - 3}{3x - 1}\\\\\frac{2x(3x - 1) - 3(3x - 1)}{3x - 1}\\\\\frac{(2x- 3)(3x - 1)}{3x - 1}$

Simplify

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

Therefore, the expression that models the length of the second leg of the triangle is 2x - 3.

Learn more here:

brainly.com/question/20712284

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1 year ago