Parallel to y - 2x = 4 and passes through (0,5)
1 answer:
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Answer:
The formula to find the nth term of the given sequence is 54 ·
Step-by-step explanation:
The formula for nth term of an geometric progression is :
In this example, we have = 36 (the first term in the sequence) and
r = (the rate in which the sequence is changing).
Knowing what the values for r and are, now we can solve.
=
= 54 ·
Therefore, the formula to find the nth term of the given sequence is
54 ·
Answer:
B: 280
Step-by-step explanation:
The regression line predicts that when x equals 5:
In order to find the value for y, one must simply apply the following logarithmic property:
if :
then:
Applying it to this particular problem:
Therefore, the regression line predicts y will equal 280 when x equals 5.
Answer:
The inverse function of f(x) is ... f⁻¹(x) = log (x/9.16)/log (1.0054)
Step-by-step explanation:
Starting equation... f(x) = 9.16(1.0054)ˣ
Visually rewritten... y = 9.16(1.0054)ˣ
Flipping x and y... x = 9.16(1.0054)ʸ
Isolating (1.0054)ʸ... x/9.16 = (1.0054)ʸ
Taking the log of both sides... log (x/9.16) = y log (1.0054)
Isolating y... log (x/9.16)/log (1.0054) = y
Solution... y = log (x/9.16)/log (1.0054)
