-3 x + 1 > y
1/2x -1 (less than or equal to) y
See photo
Canton: 7,720 and increases at a rate of 80 people per year.
Holly Spring: 3,200 and increases at rate of 120 people per year.
Let x be the number of years.
Canton = 7,720 + 80x
Holly Spring = 3,200 + 120x
7,720 + 80x = 3,200 + 120x
80x - 120x = 3,200 - 7720
-40x = -4520
x = -4520 / -40
x = 113
It would take 113 years before the populations are equal.
7,720 + 80x = 3,200 + 120x
7,720 + 80(113) = 3,200 + 120(113)
7,720 + 9,040 = 3,200 + 13,560
16,760 = 16,760
and surely you know how much that is.
Answer:
Step-by-step explanation:
Vertex of the given parabola = (1, -4)
Since, vertex form of a parabola is given by,
y = (x - h)² + k
Here (h, k) is the vertex
Now substitute the coordinates (1, -4) in the equation.
y = (x - 1)²- 4 [Vertex Form]
Further solve this equation,
y = x² - 2x + 1 - 4
y = x² - 2x - 3 [Standard form]
Further write this equation in the factored form,
y = x² - 3x + x - 3
y = x(x - 3) + 1(x - 3)
y = (x + 1)(x - 3) [Factored form]
