To "break even" means that the costs are equal to the money made, so profit would have to be 0. Therefore, we can rewrite the equation to be
0 = x3 -4x2 +5x -20
From here, all you have to do is factor to be able to solve for the values of x
First, since the first two numbers both have an x2, we can factor that out
x2(x-4) + 5x -20 = 0
The next two can factor out a 5
x2(x-4) + 5(x-4) =0
Since both of these terms share an (x-4), they can be factored to become:
(x-4) (x2 +5) = 0
So now we just solve for x, and get x = 4, and +- (sqrt) 5i
Since 4 is the only answer present in the options (and since 5i is a non-real number), the answer would be 4
ANS: D
Hope this helped ^-^
The equation we'll use for this is:Total Gifts = Veronica's Gifts (v) + Natalie's Gifts (n).
12 = v + n
The problem says Veronica got 3 times as many gifts as Natalie.
You can directly translate this into an equation!
v = 3 * n = 3n. This means we can replace any v with 3n.
So, 12 = v + n = 3n + n = 4n
12 = 4n
3 = n. Natalie got 3 gifts.
We can now plug back in for Veronica's gifts:
v = 3n
v = 3(3)
v = 9. Veronica got 9 gifts.
Answer:
arithmetic sequence
A sequence with the difference between two consecutive terms constant. The difference is called the common difference.
Step-by-step explanation:
Prime number
It can only divide by the number itself and 1.