Answer:
9 × (1 × 4) = (9 × 1) × 4
Step-by-step explanation:
Number 3 because the associative property states that it doesn't matter how you add / multiply something in sets.
9 × (1 × 4) = (9 × 1) × 4 shows 9 × 1 × 4 in 2 ways with 2 sets.
Variables are any letter so in the case of your equation the variables would be f and x.
Answer:
-1/7
Step-by-step explanation:
The first step is to isolate the variable, x. To do so, add x to both sides. This gives you the new equation: 2 + 7x = 1.
Now, subtract 2 from both sides to further isolate the variable, giving you 7x = -1.
Divide both sides by 7, giving you the final equation of x = -1/7.
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 - (3,250 + 5x + 0.1x²)
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.
The points have been plotted on the coordinate graph.
