HELP! PLZ
1 answer:
9514 1404 393
Answer:
c = 5
Step-by-step explanation:
The graph of
f(x) = 3x² -5x -7
is shifted 2 units to the right by the transformation ...
g(x) = f(x -2)
g(x) = 3(x -2)² -5(x -2) -7
g(x) = 3(x² -4x +4) -5x +10 -7
g(x) = 3x² -17x +15
When this is written as a monic polynomial, it is
g(x) = x² -17/3x +5
The value of 'c' is 5.
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<h3>Answer: 14x - 8</h3>
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Explanation:
I'll use the quadratic formula to find the roots or x intercepts. This slight detour allows us to factor without having to use guess-and-check methods.
The equation is of the form ax^2+bx+c = 0
- a = 12
- b = -11
- c = -5
This leads to...
Now use those roots to form these steps
Refer to the zero product property for more info.
Therefore, the original expression factors fully to (4x-5)(3x+1)
Use the FOIL rule to expand it out and you should get 12x^2-11x-5 again.
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We did that factoring so we could find the side lengths of the rectangle.
I'm using the fact that area = length*width
- L = length = 4x-5
- W = width = 3x+1
The order of length and width doesn't matter.
From here, we can then compute the perimeter of the rectangle
P = 2(L+W)
P = 2(4x-5+3x+1)
P = 2(7x-4)
P = 14x - 8