Answer:
Step-by-step explanation:
-12 = 4(-6 + f)
-12 = (-6 * 4 + f * 4)
-12 = (-24 + 4f)
-12 = -24 + 4f
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Add '-4f' to each side of the equation.
-12 + -4f = -24 + 4f + -4f
Combine like terms: 4f + -4f = 0
-12 + -4f = -24 + 0
-12 + -4f = -24
Add '12' to each side of the equation.
-12 + 12 + -4f = -24 + 12
Combine like terms: -12 + 12 = 0
0 + -4f = -24 + 12
-4f = -24 + 12
Combine like terms: -24 + 12 = -12
-4f = -12
Divide each side by '-4'.
f = 3
Simplifying
f = 3
Hope helps you
12.
13.
16.
is already in simplest form.
Answer:
5083
Step-by-step explanation:
6^3 + 5(8 + 15)
Simplify the bracket first
6 x 6 x 6 + 5 (23)
216 + 5 (23)
221 (23)
221 x 23 = 5083
Answer:
(0,50)
Step-by-step explanation:
Given the total cost of a dancers lesson modeled by the equation y = 25x + 50, the y intercept occurs at the point where x = 0.
Substitute x = 0 into the expression
y = 25x + 50
y = 25(0) + 50
y = 0+50
y = 50
Hence the y intercept is (0, 50). This shows that the total cost of the dancers lesson registration fee is 50