A quadratic with roots at 8 and 5 is f(x) = x^2 + 10x - 24
In order to find an equation given roots you can create statements that equal 0 in order to create parenthesis. For instance we know x = 8 at one point. So, we can solve that to equal 0.
x = -12 ----> add 8 from both sides
x + 12 = 0
We can do the same for the other zero.
x = 2 ----> subtract from both sides
x - 2 = 0
Now that we have both of these, we can multiply these two things together. This will give us the function we need.
f(x) = (x + 12)(x - 2)
f(x) = x^2 + 12x - 2x - 24
f(x) = x^2 + 10x - 24
Its 1/2 because the triangle is spit in half so 1/2 is half of 2 and it's already simplifed
Answer:
(0, 7), (1, 11), (2, 15)
Step-by-step explanation:
to find the y values, plug in the given x values into the equation y= 4x+7
when x = 0
y = 4(0) + 7
y = 0 + 7
y = 7
so the y value that corresponds to the x value 0 is 7 which is also written as (0,7)
when x = 1
y = 4(1) + 7
y = 4 + 7
y = 11
so the y value that corresponds to the x value 1 is 11; also written as (1, 11)
when x = 2
y = 4(2) + 7
y = 8 + 7
y = 15
so the x value 2 corresponds to the y value 15; also written as (2 , 15)
hope this helps
Ok I’ll help give me on minute
Sorry if my English is bad i am German
