The equation for the profit from selling the items is P = 40x-0.5x²-300. The values of x are 10 and 70.
<h3>How to solve for the expression</h3>
We have the cost function in this question to be
Cx = 60x+300
Revenue = 100x−0.5x²
A. The revenue function is stated as the revenue - cost
= (100x−0.5x²)-60x+300
We have to open the equation
40x-0.5x²-300
B. when profit is 50 dollars
50 = 40x-0.5x²-300
We have to multiply both sides by 10
500 = 400x - 5x² - 3000
We have to collect like terms and form a quadratic equation
5x² - 400x - 3500 = 0
We have to solve the quadratic equation above using a quadratic calculator.
Hence
x = 10, 70
So the two values that would create a profit of 50 dollars is 10 and 70.
Read more on quadratic polynomials here:
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Set up a right triangle. the height is one side of triangle, its length is 400.
The angle opposite to the 400 is 14.3 degrees. The adjacent side is distance across, "x"
Use tangent ratio
The answer is C because 4 can go into 28, 7 times so for every 4 fiction book 1 non-fiction book sells. Making the answer C
Answer:
$9.08
Step-by-step explanation:
(find the difference means to subtract the second term from the first.)
$20.90 - $11.82 = $9.08
Answer:
See explanation
Step-by-step explanation:
In the figure below, segment CD is parallel to segment EF, DE is a transversal, then angles DIH and HGI are congruent as alternate interior angles when two parallel lines are cut by a transversal.
Consider triangles DIH and EGH. In these triangles,
as alternate interior angles;
as vertical angles;
because point H bisects segment DE (given).
Thus,
by AAS postulate
