Answer:
y = 2*x^2 - 2*x - 24
Step-by-step explanation:
If we have a quadratic function with roots a and b, we can write the equation for that function as:
y = f(x) = A*(x - a)*(x - b)
Where A is the leading coefficient.
In this case, we know that the roots are: 4 and -3
Then the function will be something like:
f(x) = A*(x - 4)*(x - (-3) )
f(x) = A*(x - 4)*(x + 3)
Now we need to determine the value of A.
We also know that the graph of the function passes through the point (3, -12)
This means that:
f(3) = -12
Then:
-12 = A*(3 - 4)*(3 + 3)
-12 = A*(-1)*(6)
-12 = A*(-6)
-12/-6 = A
2 = A
Then the equation is:
y = f(x) = 2*(x - 4)*(x + 3)
Now we need to write this in standard form, so we just need to expand the equation:
y = f(x) = 2*(x^2 + x*3 - x*4 - 4*3)
y = f(x) = 2*(x^2 - x - 12)
y = f(x) = 2*x^2 - 2*x - 24
Then the relation is:
y = 2*x^2 - 2*x - 24
Between 90 and 180 degrees
Answer:
9m + 16n
Step-by-step explanation:
14m+2n-5m+20m-6n
9m+2n+20n-6n
add like variable
9m + 16n
Answer:
Im sorry. give me a few minutes and I will get you a few of the answers. I will comment on your questions with the answers I get. No promises that they will be right because I am also in 8th grade.
Step-by-step explanation:
Answer:
Vertical bar graph.
Step-by-step explanation:
A circle graph demonstrates data in the form of percentages that form a circle.
A horizontal and vertical bar graph demonstrate data in the same way, just in different directions.
