Emilio practices the piano 20 minutes a day. To identify the total number of minutes he practices, he uses the function rule: y = 20x. Find f (8) A. 28 B. 40 C. 80 D. 160

D. 160

Step-by-step explanation:

This question asks us to find f(8). Essentially, this asks us to find out what y is when x is equal to 8. In terms of this problem, how many minutes does he practice after 8 days.

We are given the equation:

y=20x

We want to find f(8). Therefore, we must substitute 8 in for x.

y=20(8)

Multiply 20 and 8

y=160

Therefore, f(8) is 160 and D is the correct answer. This means that after 8 days, Emilio practices for 160 minutes.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .