Answer:
(x+3)(x-5)
Step-by-step explanation:
4x^2 - 8x - 60
x^2- 2x - 15
(x+3)(x-5)
Here is a general rule for sin and cos
sin x = cos (90 - x)
cos x = sin (90 - x)
These rules are complementary, so for your problem
cos 75 = sin (90 - 75) = sin 15 as your answer.
They drunk 2/3 because 3/4=9/12-8/12=1/12 and 8/12 is equal to 2/3 so 2/3 is your answer.
The equation set up is:
0.5x² - 40x + 15300 = 0
Cost, C(x) = 35x + 300
Revenue, R(x) = 75x - 0.5x²
Profit, P(x) = 15000
Profit = Revenue - Cost
P(x) = R(x) - C(x)
15000 = 75x - 0.5x² - (35x + 300)
15000 = -0.5x² + 40x - 300
0.5x² - 40x + 15000 + 300 = 0
The quadratic equation to get the number of items sold is shown below:
0.5x² - 40x + 15300 = 0
Learn more here: brainly.com/question/15314537