Answer:
D
Step-by-step explanation:
To solve the quadratic equation, use the inverse operation to squaring. This will undo the exponent and allows x to be isolated. The inverse operation is the square root. This is called the square root property of equality.
(x + 2)² = 1
√(x+2)² = √1
(x+2) = ±1
x = 1 -2 and x = -1 - 2
x = -1 and x = -3
The product of the roots -1 and -3 is -1*-3 = 3
<h3>
Answer: Choice A</h3>
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Explanation:
If we replace x with 0, then we get...
f(x) = 3x^2-8x+2
f(0) = 3(0)^2 - 8(0) + 2
f(0) = 3(0) - 8(0) + 2
f(0) = 0 - 0 + 2
f(0) = 2
Showing that the input x = 0 leads to the output y = f(x) = 2
The answer is between choice A and choice D because of this. Something like choice B is eliminated because this table shows x = 0 leading to y = -3 which is not correct.
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Let's plug in x = 1
f(x) = 3x^2-8x+2
f(1) = 3(1)^2 - 8(1) + 2
f(1) = 3(1) - 8(1) + 2
f(1) = 3 - 8 + 2
f(1) = -5 + 2
f(1) = -3
So x = 1 leads to y = -3. We can rule out choice D and confirm it is choice A.
We don't need to try other x values since we have the answer, but I recommend practicing with other x values to help confirm that the first table is the answer.
Setting up the proportion ,you get that x=92.
The length would be w+4 since it is 4 inches more than the width, which is w.
