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:
A = 100 pi cm^2
Step-by-step explanation:
A = pi(r^2)
A = pi(10^2)
A = pi(100)
A = 314.16 '
Convert to pi units.
314.16 ---> 100pi cm^2
Answer:
D is the answer
Step-by-step explanation:
For a: g(x) = 1 when x = 1, for f(x) 1^2 - 2(1) + 2 = 1, a is true.
For b: Both functions do have all real numbers for their domain, b is true
For c: the y-intercept of g(x) is x = 0, for f(x), it is 0^2 - 2(0) + 2 = 2, c is true
For d: g(3) = 7, f(3) = 3^2 - 2(3) + 2 = 5, d is false.
Hi!
Okay, so this actually isn't too bad! (For number 5) Just add the negative x over to get 2x. Then subtract 2 over to get -10. Then divide by 2 (-5) and you're done! For the rest, do the same thing. Get the x's on one side, get the regular numbers on the other, and divide! Hope that helped!
