If x - 4 ≥ 0, then |x - 4| = x - 4, so
G(x) = F(x) ⇒ 3x + 2 = (x - 4) + 2
⇒ 3x + 2 = x - 2
⇒ 2x = -4
⇒ x = -2
Otherwise, if x - 4 < 0, then |x - 4| = -(x - 4), so
G(x) = F(x) ⇒ 3x + 2 = -(x - 4) + 2
⇒ 3x + 2 = -x + 6
⇒ 4x = 4
⇒ x = 1
However,
• when x = -2, we have
G(-2) = 3(-2) + 2 = -4
F(-2) = |-2 - 4| + 2 = 8
• when x = 1, we have
G(1) = 3(1) + 2 = 5
F(1) = |1 - 4| + 2 = 5
so only x = 1 is a solution to G(x) = F(x).
Answer:
-1
Step-by-step explanation:
She walked down 2 flights, then up 3 flights. This would cause her to be 1 floor above her floor. So, she would have to walk down 1 flight (hence the negative in the -1) and she would be on her floor.
Answer:
Vertical movement: Move up 3 units
or
Horizontal movement: Move left 3 units
Step-by-step explanation:
If your parent equation is 
and your child equation is 
, then it has vertically moved up 3 units.
If your parent equation is and your child equation is 
, then it has moved horizontally left 3 units.
Answer:
The original price of the item is $28.
Step-by-step explanation:
So to find the original price, we have to divide the sale price by the result of one minus the discount in percentage form.
So:
First convert 25% to a decimal, 0.25.
OP(original price) = 21 ÷ 1 - 0.25 =
1 - 0.25 = 0.75
21 ÷ 0.75 = 28.
The value of b is 61°.
you solve by doing this:
add up the two given angles, 58° and 61° to get 119°. then you subtract from 180° to get 61.
