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
Answer:
-11.75 - x
Step-by-step explanation:
0.5 squared = 0.25
0.25-12= -11.75
-11.75 - x
Answer:
The answer to your question is letter D
Step-by-step explanation:
Data
slope = m = 2
Point (-3, 4)
Process
1.- Substitute the data in the line equation
y - y1 = m(x - x1)
y - 4 = 2 (x + 3)
2.- Expand
y - 4 = 2x + 6
3.- Solve for y and simplify
y = 2x + 6 + 4
y = 2x + 10
Let L = length & W= width
Just rewrite the problem in math:
L=5+2W & Area = L x W=403cm²===> (5+2W).(W)=403.
==>2W²+5W-403 =0 Solve the quadratic equation. & you will get W=13
Plug it to find L =31
Answer:
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Step-by-step explanation:
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