40 is the answer if your asking for the second angle
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
Answer:
For every 7 hair bands there will be 4 ribbons
7 hair bands →→ 4 ribbons
14 hair bands →→ 8 ribbons
21 hair bands →→ 12 ribbons
etc.
Answer:
A is the answer its 18 percent off
Step-by-step explanation:
<h3>f(x) = -3·2^(x-1) -1</h3>
- reflection across the x-axis (multiplication by -1)
- vertical expansion by a factor of 3 (multiplication by 3)
- shift to the right 1 unit (replace x with x-1)
- shift down 1 unit (add -1 to the function value)
_____
<h3>f(x) = -1/4·2^(x+1) -1</h3>
You may notice this is the same as the previous question, but with the vertical expansion factor 1/4 instead of 3, and the horizontal shift left instead of right.
- reflection across the x-axis (multiplication by -1)
- vertical compression by a factor of 4 (multiplication by 1/4)
- shift to the left 1 unit (replace x with x+1)
- shift down 1 unit (add -1 to the function value)