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Verizon [17]
3 years ago
8

Multiply. (−6/35)⋅14/27 What is the product? Enter your answer as a fraction, in simplified form, in the box.

Mathematics
1 answer:
ad-work [718]3 years ago
5 0

Answer:

-4/45

Step-by-step explanation:

\dfrac{-6}{35}*\dfrac{14}{27}=\dfrac{-6}{5}*\dfrac{2}{27}

14 and 35 are given by 7th table.

               = \dfrac{-2}{5}*\dfrac{2}{9}      

Now , 6 and 27 are given by 3rd table

                =\dfrac{-4}{45}

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I’d appreciate help ASAP please and thank you!
White raven [17]
<h3>Answer:  Choice C) 40 </h3>

==========================================================

Work Shown:

Plug in x = 0

g(x) = 3^{2x}\\\\g(0) = 3^{2*0}\\\\g(0) = 3^{0}\\\\g(0) = 1\\\\

This indicates that (0,1) is on the curve. This is the y intercept.

Do the same for x = 2

g(x) = 3^{2x}\\\\g(2) = 3^{2*2}\\\\g(2) = 3^{4}\\\\g(2) = 81\\\\

So we know that (2,81) is another point on this curve.

We need to find the slope of the line through (0,1) and (2,81) to get the slope of the secant line we want.

m = \text{slope}\\\\m = \frac{\text{rise}}{\text{run}}\\\\m = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{g(2)-g(0)}{2-0}\\\\m = \frac{81-1}{2-0}\\\\m = \frac{80}{2}\\\\m = 40\\\\

The slope of the line through (0,1) and (2,81) is m = 40. This value of m is exactly the slope of the secant line your teacher is asking for. This is why the answer is choice C.

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3 years ago
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