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allochka39001 [22]
4 years ago
13

What is the equation of this line that models the data on the graph? A. y= x/3 + 2 B. y=3x+2

Mathematics
1 answer:
vovikov84 [41]4 years ago
3 0
A. y= x/3 + 2 this means the graph starts at 2 on the Y axis and x/3 means it moves across on the x axis once for every three times it goes up on the y axis

B. y= 3x + 2 this means the graph starts at 2 on the Y axis and 3x means it moves across the X axis 3 times and up the y axis once

Use the equation (X2-X1)/(Y2-Y1) and you get the answer 0/3
0 happens to represents the X this time...so the equation is x/3

so A is your answer
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AleksAgata [21]

Answer:

\large \boxed{2}

Step-by-step explanation:

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

In your geometric sequence, a₁ = 4 and a₁₃ = 16 384.

\begin{array}{rcl}16384 & = & 4r^{(13 - 1)}}\\16384 & = & 4r^{12}\\4096 & = & r^{12}\\3.6124 & = & 12 \log r\\0.30102 & = & \log r\\r & = & 10^{0.30102}\\ & = & \mathbf{2}\\\end{array}\\\text{The common ratio is $\large \boxed{\mathbf{2}}$}

Check:

\begin{array}{rcl}16384 & = & 4(2)^{12}\\16384 & = & 4(4096)\\16384 & = & 16384\\\end{array}

It checks.

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Answer:

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