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3 years ago

Select the equation in which the slope equals 9 in the y-intercept equals -3

Mathematics

2 answers:

hjlf3 years ago

4 0

Y = mx + b
where
m = slope
b = y-intercept

y = 9x - 3

lianna [129]3 years ago

3 0

Y=9x-3, as the equation is originally y=mx+b, m equaling the slope, and b equaling the y intercept. All you really need to do is plug in the numbers :)

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3 years ago

Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?

OlgaM077 [116]

Answer:

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Step-by-step explanation:

Given:

Fifth term of a geometric sequence = $\frac{1}{16}$

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Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = $ar^{n - 1}$ , where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

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Cross multiply

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Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = $ar^{n - 1}$

nth term = $16*\frac{1}{4}^{n - 1}$

$a_n = 16(\frac{1}{4})^{n - 1}$

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