Answer:
n = -3
Step-by-step explanation:
The difference of the square of a number and 24 is equal to 5 times that number. Find the negative solution.
I'm going to call the number "n."
n² - 24 = 5n subtract 5n from both sides to get the equation equal to zero
- 5n -5n
n² - 5n - 24 = 0 factor the trinomial into the multiplicatin of two binomials
we need factors (numbers that multiply) to -24 that add up to
-5. The only factors for -24 that will add up to -5 are -8 and 3.
(n-8)(n+3) = 0 set each binomial equal to zero and solve for n
n-8 = 0 or n+3 = 0
+8 +8 -3 -3
n = 8 or n = -3 n = -3 is the negative solution
Answer:
36
Step-by-step explanation:
72÷2
2 adults per one child
Definitely multiply out the given factors:
f(x) = 10 + 2x - 5x - x^2, or f(x) = -x^2 - 3x + 10
Find the derivative: f '(x) = -2x - 3
Set the deriv. = to 0 and solve for x: -2x = 3, and x = -3/2
This x = -3/2 is the x-coordinate of the max value. The y-coord. is
f(-3/2) = (-3/2)^2 - 3(-3/2) + 10 = 21.25
I realize that this result does not agree with any of the four possible answers. Please ensure that y ou have copied down this problem completely and correctly.
She can buy 2 bags of fruit (adds up to 9.50) and of course the box of crackers that is 3.5, in total it adds to $13. So the answer is she can buy 2 bags of fruit.
9514 1404 393
Answer:
350,000
Step-by-step explanation:
The vertex of the quadratic ax²+bx+c is located at x=-b/(2a). For the given profit function, the number of units (x) that will produce maximum profit is ...
x = -(140)/(2(-0.0002)) = 1,400,000/4
x = 350,000
350,000 units should be sold to maximize profit.
