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:
8, 5, 0 (B, C, D)
Step-by-step explanation:
okay so in order to solve this, first you would do 300-140 since the limit is 300 and 140 is already occupied. 300-140=160. Next, to find the number of 20-pound bags that can fit, you would do 160/20 or just 20b<_160 (<_ is less than or equal to). b<_ 8, therefore you could have anything ranging from 0b-8b. You cannot have a negative number of bags, that is just not possible, and with 10 bags, you surpass the weight limit by 40 pounds.
Answer:
x = 1/2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Start: 10 gallons
Loss: 1.75 per hour --> -1.75 gallons
After two hours 10+2(-1.75)=10-3.5=6.5 gallons left
After t hours 10+t(-1.75)=10-1.75t gallons left
Answer:
24 + 30 = 54 pancakes flipped in 2 minutes :)
Step-by-step explanation:
damon = 5 pancakes in 20 seconds
we do 20 x 3 and 5 x 3 to find how many pancakes he can flip in a minute
15 pancakes and a minute, we then multiply them by 2 to get the amount for 2 minutes
30 pancakes flipped in 2 minutes
Hailey = 2 pancakes in 10 seconds. to make it an equal amount of pancakes per second with damon, i will multiply them by 2 to have 4 pancakes in 20 seconds
we will then do 4 x 3 and 20 x 3 to find out how many pancakes per minute
then we multiply by 2 for 2 minutes
