Answer: A. profit of $4500
<u>Step-by-step explanation:</u>
r(x) = x² + 6x + 10
- <u>c(x) = x² - 4x + 5</u>
(r - c)(x) = 10x + 5
(r - c)(4) = 10(4) + 5
= 40 + 5
= 45
(r - c)(x) represents the profit (in hundreds of dollars) in x months
(r - c)(4) represents the profit (in hundreds of dollars) in 4 months
So, the new store will have a profit of $4500 in 4 months
First add 7d to both sides:
-22 = 11d
Now divide by 11 both sides
-2 = d
You can work on either side of the equation, I used the right side for the variables because it was easier to add to positive numbers than dealing with negative numbers on the left side:
-7d -4d = 22
-11d =22
d = -2
either way you get the same answer :)
Answer:
-2
Step-by-step explanation:
x^2 + x=2
Subtract 2 from each side
x^2 + x-2=2-2
x^2 + x-2=0
Factor
What 2 numbers multiply to -2 and add to 1
2*-1 = -2
2+-1 =1
(x-1)(x+2)=0
Using the zero product property
x-1 = 0 x+2 = 0
x=1 x = -2
Product of the roots
1*-2 = -2
An easy way is to do it, if you get confused by multiplying fractions, is by turning the fractions into decimals. Since you are trying to find N you want to multiply the 1/5 by the 1/3.
1/5 = 0.2
1/3 = 0.33333333333333333333333333333333
if you multiply those you get 0.06666666666666666666666666666667 which when put into a fraction it equals 1/15
but if you don't want to do that just try to remember that you want to get by itself. and when multiplying fractions in this situation the bottom numbers only matter.. so 5 x 3 = 15 1/15
would you like me to put it in a document to show you?
