Answer:
500
Step-by-step explanation:
Define listed price = C
Based on the term, to have the balance on both plan, the equation is 30+90%C = 80+80%C
- 30+0.9C=80+0.8C
- 0.1C=50
- 1C = 500
First, let's factor the equation to make it easier to solve for the intercepts:
f(x) = x² + 12x + 32
f(x) = (x + 8)(x + 4)
To find the x-intercepts of a function, set the y value (f(x)) to 0:
0 = (x + 8)(x + 4)
x = -8, -4
Similarly, to find the y-intercept, set the x values to 0:
f(x) = (0 + 8)(0 + 4)
f(x) = (8)(4)
f(x) = 32
*Note that you can see 32 as the y-intercept in the parabola's original equation
You have to get a common denominator so
3 x 3 = 9
5 x 3 = 15
So now we have 9/15 + 4/15 which is 13/15.
The answer is 13/15