<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
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
Answer:
D) Amplitude: 2; period: π; midline: y = 1
Step-by-step explanation:
The question is much more easily answered from the graph than from the description of the graph.
The amplitude is the extent of the peak above the midline (2), or half the peak-to-peak value (4/2=2). The midline is the line halfway between the peaks (1). The period is the horizontal distance between peaks of the same polarity (π).
The answer is 9 because you solve it from left to right and 3x5 equals 15, 15 subtracted by 6 equals 9
Answer:
x+2a=12+ax-6a
Step-by-step explanation:
collect liked terms:
x+2a=12+ax-6a
2a-ax+6a=12-x
factorize a on the left hand side:
a(2-x+6)=12-x
divide both sides by (2-x+6) :
a(2-x+6)/(2-x+6)= 12-x/(2-x+6)
a= 12-x
____
(2-x+6)