Answer:
Price of widget to break even= $37.9
Step-by-step explanation:
We are told that the equation representing the amount of profit, y, made by the company, in relation to the selling price of each widget, x is;
y = -8x² + 348x - 1705
Now, the company will break even when it has made no profit. That is when, y = 0
Thus;
0 = -8x² + 348x - 1705
Rearranging,
8x² - 348x + 1705 = 0
Using quadratic formula ;
x = [-b ± √(b² - 4ac)]/2a
x = [-8 ± √(-348² - 4•1•1705)]/(2 x 8)
x = $5.63 or $37.87
We'll use $37.87 because it is the highest price for which no profit is made, and higher price means that we could sell least number of products to earn a certain amount of money.
We are told to approximate to nearest cent. Thus,
Price of widget = $37.87 ≈ $37.9
8% = 0.08
150 x 0.08 = 12
Answer = 12
The <u>correct answer</u> is:
<span>If a figure is a triangle, then it has three sides.
Explanation:
A conditional is an if-then statement. The part after "if" is called the hypothesis; the part after "then" is called the conclusion.
We know that triangles have 3 sides. We will start out with "if a figure is a triangle"; we end with "then it has three sides."
This is a true conditional statement.</span>
Answer: -3/2
Step-by-step explanation:
The axis of symmetry, and thus the x-coordinate of the vertex, is given by 
So, the answer is 
