Answer:
3^2/3.
Step-by-step explanation:
3 ^ 1/3 * 3^1/3
= 3^(1/3 + 1/3)
= 3^2/3.
a) The total monthly cost is the sum of the fixed cost and the variable cost. If q represents the number of cones sold in a month, the monthly cost c(q) is given by
c(q) = 300 + 0.25q
b) If q cones are sold for $1.25 each, the revenue is given by
r(q) = 1.25q
c) Profit is the difference between revenue and cost.
p(q) = r(q) - c(q)
p(q) = 1.00q - 300 . . . . . . slope-intercept form
d) The equation in part (c) is already in slope-intercept form.
q - p = 300 . . . . . . . . . . . . standard form
The slope is the profit contribution from the sale of one cone ($1 per cone).
The intercept is the profit (loss) that results if no cones are sold.
e) With a suitable graphing program either form of the equation can be graphed simply by entering it into the program.
Slope-intercept form. Plot the intercept (-300) and draw a line with the appropriate slope (1).
Standard form. It is convenient to actually or virtually convert the equation to intercept form and draw a line through the points (0, -300) and (300, 0) where q is on the horizontal axis.
f) Of the three equations created, we presume the one of interest is the profit equation. Its domain is all non-negative values of q. Its range is all values of p that are -300 or more.
g) The x-intercept identified in part (e) is (300, 0). You need to sell 300 cones to break even.
h) Profit numbers are
425 cones: $125 profit
550 cones: $250 profit
700 cones: $400 profit
Answer:
Quadrant 4!
Step-by-step explanation:
It isn't quite 2 pi, so it doesn't make it around the circle twice, making it land in quadrant 4
Hello,
To solve this equation, you first take the square root of both sides.
This will give you two options, because the square root of 64 could be 8 or -8.
Your equations are:
x + 3 = 8 or x + 3 = -8
Solving these equations give the solutions: x = 5 or x = -11
Option A is correct.
You can verify that it is correct by inputting the solutions and evaluating the expression.
I hope this helps, good luck!
The answer would be 2 2/3.
That is because if you multiply the reciprocal of 1/4 on both sides you'll be left with 8/3 and 8/3 simplified is 2 2/3.
Hope this helps :)
