Answer: 1
Step-by-step explanation:
substitute x with 0 in the polynomial so we get,
-3^x
= -3^0
= 1 ( because any number raised to 0 is 1)
Hope it helps:)
Answer:
15
Step-by-step explanation:
2/3 x 60 = 40
1/12 x 60 = 5
60 - 40 - 5 = 15
Answer:
x=5
Step-by-step explanation:
Simplifying 5x + -7 = 2x + 8 Reorder the terms: -7 + 5x = 2x + 8 Reorder the terms: -7 + 5x = 8 + 2x Solving -7 + 5x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 5x + -2x = 8 + 2x + -2x Combine like terms: 5x + -2x = 3x -7 + 3x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 3x = 8 + 0 -7 + 3x = 8 Add '7' to each side of the equation. -7 + 7 + 3x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 8 + 7 3x = 8 + 7 Combine like terms: 8 + 7 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
Answer:
a. Yes. The owner made a profit, because R > C when x = 183.
Step-by-step explanation:
(1) Calculate the revenue
R = 26.05x = 26.05 × 183 = 4767.15
(2) Calculate the cost
C = 1500 + 16.75x = 1500 + 16.75 ×183 = 1500 + 3065.25 = 4565.25
(3) Calculate the profit
P = R – C = 4767.1 – 4565.25 = 201.90
P > 0. The owner made a profit, because R > C when x = 183.
In the graphs below, the red line represents costs and the blue line represents revenues.
We see that C > R until we reach the break-even point at 162 units. After 162 units, R > C, and the business makes a profit. This, making 183 units is profitable for the company.
