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
So if she bought 20 share of stock for $175 that means that she paid $8.75 for each stock so if she made $25 you add then you divide
175÷20 = $8.75
175+$25=$200 she sold them for
$200 ÷ 20= $10
Answer:
Board 1 = 1.2m
Board 2 = 2.4m
Board 3 = 3.6m
Step-by-step explanation:
Board 1 = x
Board 2 = 2x
Board 3 = 3x
x + 2x + 3x = 6x
7.2 /6 = 1.2
Board 1 = 1.2
Board 2 = 2 (1.2) = 2.4
Board 3 = 3 (1.2) = 3.6
