Answer:
Step-by-step explanation:
<u>Given function:</u>
The graph of it should contain the point (3/2, 27)
<u>Substitute the values and verify answer choices:</u>
A) b= 3/2
- 27 = (3/2)^(3/2), False as the right side is irrational
B) b= 27
-
27 = 27^(3/2), False as 27^1 ≠ 27^(3/2), because 1 ≠ 3/2
C) b= x/y
- 27 = (x/y)^(3/2), False as is doesn't make sense
D) b= 9
- 27 = 9^(3/2)
- 27 = (3^2)^(3/2)
- 27 = 3^(2*3/2)
- 27 = 3^3
- 27 = 27
Answer:
Step-by-step explanation:
55+4x
You are changing the sign on one so to keep an equilibrium you change the other sign too
The line in the middle is half the length of the line on the outside. Multiply the middle line by 2 and set it equal to the outside line.
2(x-3) = x + 6
Simplify:
2x -6 p x + 6
Add 6 to both sides
2x = x + 12
Subtract x from both sides:
X = 12
The answer is B) 12
Answer:
Break-even point is at quantity 220.
Step-by-step explanation:
Given the rent amount that is fixed cost for the store = $550
The average cost of the goods = $3
The average price of the goods = $5.50
Let the total number of break-even items = Q
Thus, total revenue = 5.50 x Q = 5.50Q
At break-even, TR = TC
5.50Q = FC + VC
5.50Q = 550 + 3Q
5.50Q - 3Q = 550
2.50Q = 550
Q = 550 / 2.50
Q = 220
Thus break-even point is at quantity 220.
