Answer:
y = -6
Step-by-step explanation:
y = mx + b
-6 = -5(0) + b
b = -6
The relationship between profit and revenue is:
Profit = Revenue - Total Cost
Since the cost is given as a function, the equation will be substituted as
Profit = Revenue - (<span>3,250 + 5x + 0.1x</span>²)
Now, the revenue is a linear graph because it is the number of pairs multiplied the fixed rate. So, the slope is constant.
Revenue = 110x --> this is the function for revenue
Thus, the equation for profit would be
Profit = 110x - 3,250 - 5x - 0.1x²
P = -0.1x²+105x-3,250 --> this is the function for profit
Now, to find the minimum value of x to make profit, differentiate P with respect to x and equate to 0.
dP/dx = 0 = -0.2x + 105
x = 525
Thus, the Gymnast Clothing should manufacture at least 525 pairs in order to make profit.
Answer:
x = 14.25
Step-by-step explanation:
Start with a^2 + b^2 = c^2
a = 11
b = x
c = 18
plug in and solve
11^2 + x^2 = 18^2
121 + x^2 = 324 - Simplify
x^2 = 203 - subtract 121 from both sides
x = 14.247 rounds to 14.25 - square root on both sides
Answer:
X=8/7
Step-by-step explanation:
7x +2=10
7x=10-2
7x=8. Divide both side by 7
x=8/7