Answer:
(k-h)(x) = 4x - 8
Step-by-step explanation:
We know Profit = Revenue - Cost
Basically we gotta subtract cost function from revenue function and get the profit function.
The cost function is h(x) = 5x + 6
The revenue function is k(x) = 9x - 2
Hence, Profit is:
(k-h)(x) = (9x - 2) - (5x + 6)
(k-h)(x) = 9x -2 - 5x - 6
(k-h)(x) = 4x - 8
Answer:
27 years
Step-by-step explanation:
Given that :
Adrian's age = 3
Father's age = 34
In how many years will Adrian be twice as young as his father?
Let the number of years = x
2(3 + x) = 34 + x
6 + 2x = 34 + x
2x - x = 34 - 6
x = 28
The answer is (B): A few positive particles bounced back because they were pushed away from the positive center.
Let x be the number of hours of nagging groceries spent by Ethan. With this representation, the number of hours for moving lawns will be x + 10. The equation that would let us solve this item is,
6x + 7.50(x + 10) = 129
The value of x from the equation is 4. Thus, the number of hours spent for moving lawns is 14 hours.
Answer:
Options (3) and (6)
Step-by-step explanation:
ΔABC is a dilated using a scale factor of
to produce image triangle ΔA'B'C'.
Since, dilation is a rigid transformation,
Angles of both the triangles will be unchanged or congruent.
m∠A = m∠A' and m∠B = m∠B'
Since, sides of ΔA'B'C' =
of the sides of ΔABC
Area of ΔA'B'C' = 
Area of ΔABC > Area of ΔA'B'C'
Since, angles of ΔABC and ΔA'B'C' are congruent, both the triangles will be similar.
ΔABC ~ ΔA'B'C'
Therefore, Option (3) and Option (6) are the correct options.