Answer:
Step-by-step explanation:
Let us first closely examine the sequence for any mathematical correlation between the terms of sequence.
It is visualized that the series is progressing with addition of increasing even numbers starting with +6 ( +6, +8, +10, +12, +14, +16, +18 …) in the previous term to obtain next terms of the series. This logic continues for entire series.
The given series is:
1 ,7 ,15 ,25 ,37
Starting with first number of the series
1
1 + 6 = 7
7 + 8 = 15
15 + 10 = 25
25 + 12 = 37
37 + 14 = 51
51 + 16 = 67
67 + 18 = 85
The extended series is
1, 7, 15, 25, 37, 51, 67, 85
Step 1
<u>Find the value of x</u>
we know that
-------> by corresponding angles, because the given lines are parallel
Solve for x

Step 2
<u>Find the value of y</u>
we know that

substitute the value of x and solve for y





therefore
<u>the answer is the option B</u>

The answer is <span>Multiply each side by −8, subtract 35 from each side
</span>

<span>
Multiply each side by -8:
</span>

<span>
Subtract 35 from each side:
</span>

<span>
</span>
If u = ln(x^(1/3))
then by the chain rule
du = [1/x^(1/3)] * (1/3)x^(-2/3) dx = (1/3)(1/x) dx.
You could get there faster by noting that
ln(x^(1/3)) = (1/3) ln(x), so du = (1/3) dx/x