F(x)=x^2 what is g(x)?
1 answer:
Answer:
B
Step-by-step explanation:
You are given that a valid point on g(x) is (4,1) or y=1 when x=4
Substitute this point into each of the choices and see which one is valid.
A : g(x) = x² = (1/4) (4²) = 4 ≠ 1 (not valid)
B: g(x) = [(1/4) x]² = [(1/4) 4]² = 1² = 1 (valid)
C: g(x) = 4x² = 4 (4²) = 64 ≠ 1 (not valid)
D: if you expand it out, you'll find that this is identical to option A which we determined earlier to be not valid.
Hence the only valid choice is B
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Answer:
The 13th term is 81<em>x</em> + 59.
Step-by-step explanation:
We are given the arithmetic sequence:
And we want to find the 13th term.
Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:
Find the common difference by subtracting the first term from the second:
Distribute:
Combine like terms. Hence:
The common difference is (7<em>x</em> + 5).
To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:
Where <em>a</em> is the initial term and <em>d</em> is the common difference.
The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:
To find the 13th term, let <em>n</em> = 13. Hence:
Simplify:
The 13th term is 81<em>x</em> + 59.