Answer:
Kyle did not solve the question correctly
Step-by-step explanation:
The equation (-4x +9)^2 is a perfect square trinomial.
A typical example of a perfect square trinomial is (x +y) ^2 = x^2 + 2xy + y^2
Therefore, (-4x + 9)
= (-4x)^2 + 2(-4x)(9) + (9)^2
= 16x^2 + 2(-36x) + 81
= 16x^2 - 72x +81
The result Kyle gave was 16x^2 + 81. This is incorrect.
Therefore, Kyle did not solve the question correctly
<h3>
Answer: Choice A</h3>
The graph has <u>no</u> vertical asymptote
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Explanation:
Let's simplify the function by factoring each piece.
In the 2nd step, I used the difference of squares rule to factor the numerator. In the 4th step, the (x-8) terms cancel.
The simplified version doesn't have any variables in the denominator. This indicates the denominator is always 8, and never 0. So it's impossible to divide by zero in this simplified form. Consequently it means this graph <u>has no vertical asymptotes.</u>
However, there is a hole at x = 8 because this input causes a division by zero error in the original non-simplified function. Why? Because the calculator will use PEMDAS to evaluate the expression after replacing every copy of x with 8. It likely won't attempt to simplify like shown in the steps above. This is what causes the hole at x = 8.
The value x = -8 is perfectly fine in either the original function or the simplified one. It doesn't cause the denominator to be zero.
Are those decimals and square numbers? because if they are the answer is:
33333.33333
Answer:
(-1,7)
Step-by-step explanation:
The solution is where both lines meet.