Make x the subject 3x-a=2x-5
1 answer:
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ANSWER
EXPLANATION
The vertex of the graph is at
The equation of the graph in vertex form is given by the formula,
The above graph has a minimum point, hence
When we put these values into the equation we obtain,
This implies that,
The point (-2,0) lies on the line.
The correct answer is D.
EXPLANATION
The vertex of the graph is at
The equation of the graph in vertex form is given by the formula,
The above graph has a minimum point, hence
When we put these values into the equation we obtain,
This implies that,
The point (-2,0) lies on the line.
The correct answer is D.
9514 1404 393
Answer:
n = 8
Step-by-step explanation:
"By inspection" is an appropriate method.
We are asked to compare the expressions
n·n
8·n
and find the value(s) of n that makes them equal. <em>By inspection</em>, we see that n=8 will make these expressions equal. We also know that both expressions will be zero when n=0.
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More formally, we could write ...
n^2 = 8n . . . . the two formulas give the same value
n^2 -8n = 0 . . . . rearrange to standard form
n(n -8) = 0 . . . . . factor
Using the zero product rule, we know the solutions will be the values of n that make the factors zero. Those values are ...
n = 0 . . . . . makes the factor n = 0
n = 8 . . . . . makes the factor (n-8) = 0
Generally, we're not interested in "trivial" solutions (n=0), so the only value of n that is of interest is n = 8.
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A lot of times, I find a graphing calculator to be a quick and easy way to find function argument values that make expressions equal.
