Answer:
As 
Step-by-step explanation:
Given:
From the graph, we can conclude that:
The function has vertical asymptotes at 
The function has horizontal asymptote at 
Vertical asymptotes are those values of 'x' for which the functions tends towards infinity. Horizontal asymptote is the value of the function as the 'x' value tends to infinity.
Now, as 
means the right hand limit of the function at 
From the graph, the right hand limit is the right side of the asymptote of the function at 
. The right side shows that the function is tending towards negative infinity.
Therefore, As
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|x - 6.5| < 0.02 ft is the <span>absolute value inequality for the possible lengths of the pole.</span>
I disagree with the student because the slope is the rate of change. The slope would be 10 because the rocks are increasing by 10 every month.
Here is one way to solve for x.
Step 1) 2x^2-7=9
Step 2) 2x^2-7+7=9+7
Step 3) 2x^2=16
Step 4) (2x^2)/2=16/2
Step 5) x^2=8
Step 6) sqrt(x^2)=sqrt(8)
Step 7) |x|=sqrt(8)
Step 8) x=sqrt(8) or x=-sqrt(8)
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Below are explanations/reasons to each of the steps above.
Step 1) Original equation
Step 2) Add 7 to both sides
Step 3) Combine like terms
Step 4) Divide both sides by 2
Step 5) Simplify
Step 6) Apply the square root to both sides. The notation "sqrt" is shorthand for "square root"
Step 7) Use the rule that sqrt(x^2) = |x| for all real numbers x
Step 8) Use the rule that if |x| = k then x = k or x = -k for some fixed number k.
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The two solutions are
x = sqrt(8) or x = -sqrt(8)
Answer:
The answer is y = 4
x − 4
Step-by-step explanation:
