Answer:
The two values of x are 20 and 60
Step-by-step explanation:
Given;
cost function: C = 60x + 300
revenue function: R = 100x − 0.5x²
Profit = R - C
300 = 100x − 0.5x² - ( 60x + 300)
300 = 100x − 0.5x² - 60x - 300
300 + 300 = 100x − 0.5x² - 60x
600 = 40x - 0.5x²
600 = 40x - ¹/₂x²
multiply both sides by 2
1200 = 80x - x²
re-write the equation
80x - x² = 1200
-x² + 80x - 1200 = 0
multiply through by (-1)
x² - 80x + 1200 = 0
factorize the quadratic equation
x² (- 60x - 20x) + 1200 = 0
x² - 60x - 20x + 1200 = 0
x(x - 60) -20(x - 60) = 0
(x - 20)(x - 60) = 0
x - 20 = 0 or x - 60 = 0
x = 20 or 60
Therefore, the two values of x are 20 and 60
Answer:
2
Step-by-step explanation:
Obtain the greatest common factor of both 12 and 10
Factors of 10 = 1, 2, 5, 10
Factors of 12 = 1, 2, 3, 4, 6, 12
From the above, the greatest common factor of 10 and 12 is 2
Hence, smallest number of pencils using the boxes is 2
Answer:who knows this
Step-by-step explanation:
