<u>Answer:</u> The value of x can be either 5 or 10.
<u>Step-by-step explanation:</u>
We are given:
Total profit, P = $5600
The given equation follows:
⇒ P = 600 + 1500x - 100x²
Putting value of P in above equation, we get:
⇒ -100x² + 1500x + 600 = 5600
⇒ -100x² + 1500x - 5000 = 0
⇒ 100x² - 1500x + 5000 = 0
Solving this equation by middle term split, we get:
⇒ 100(x² - 15x + 50) = 0
⇒ (x² - 10x - 5x + 50) = 0
⇒ x(x - 10) - 5(x -10) = 0
⇒ (x - 10)(x - 5) = 0
⇒ x = 10, 5
Hence, the value of x can be either 5 or 10.
Answer:
It is a vertical translation of f(x) four units downward.
Step-by-step explanation:
We are given the original equation f(x) = |x| and the transformed function is g(x) = |x| - 4.
It is clear that the transformed function that g(x) = f(x) - 4.
So, the y-value in g(x) is reduced by 4 units from the y-value of f(x) i.e. the transformation is by 4 units down of function f(x).
Therefore, it is a vertical translation of f(x) four units downward. (Answer)
Answer: b & c
Step-by-step explanation:
first i found how many hours tonya works in one week which was 20. i got that by dividing 60 by 3. then that set me up for finding the answer to the other problems as well. 60+20=80 so a wouldn’t have worked. 5x5 is 25 and she only worked 20 hours a week. and she would’ve worked 320 hours in 16 weeks, not 240. hope this helps!! :)
Im pretty sure that it is 50
