Given:
The revenue function is

The cost function is

To find:
The profit function.
Solution:
We know that, the total profit P is defined as total revenue R minus total cost C.
So, the profit function is




Therefore, the profit function is
.
d) x=-12 because x/-3=4 can be rearranged as x=4x-3 so x=-12
Answer:
3 times more.
Step-by-step explanation:
The odds of landing a dart in any of the circles correspond to the surface area of the circle.
Calculate the surface area of both circles:
The formula for the area of a circle is
.
- inner circle:

- for the outer circle, use the formula then subtract the value of the inner circle, to find the remaining area:

Calculating greater chance:
Divide the larger area by the smaller area:

That means that the area of the outer circle is 3 times larger, making it 3 times more likely to hit the outer circle. Therefore the points for hitting the inner circle should be 3 times more.
<u>5x² + 9x - 1</u><u> is the expression that represents a </u><u>quadratic expression</u><u>.</u>
What is quadratic expression?
- Quadratic expression is an expression with the variable with the highest power of 2.
- The word quadratic is derived from the word quad which means square.
- The expression should have the power of two and not higher or lower.
A quadratic expression is of the form
ax² + bx +c = 0 where a ≠ 0
The give options are-
9x - 2
5x² + 9x - 1
-2x³ + 8x² - 7x +1

From the given options, the only expression which is quadratic is
5x² + 9x - 1
wChoose the expression that represents a quadratic expression. 9x − 2 5x2 9x − 1 −2x3 8x2 − 7x 1 x4 − 12x3 8x2 −here a =5, b=9 and c=-1
Therefore, 5x² + 9x - 1 is the expression that represents a quadratic expression.
Learn more about quadratic expression.
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