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VladimirAG [237]
2 years ago
11

100 POINTS PLEASE PROVIDE STEPS AND GRAPH. GRAPH USING DESMOS IF POSSIBLE.

Mathematics
1 answer:
Vanyuwa [196]2 years ago
8 0

Answer:

See explanation for answer

Step-by-step explanation:

A)

Setting the two equations equal to each other:

x^2-2x=8

x^2-2x-8=0

(x-4)(x+2)=0

x=-2,4

To find the intersection points, since you know the x values and you know that it intersects with the line g(x)=8, all of the y coordinates will be 8. Therefore, the coordinate pairs area (-2,8) and (4,8).

B)

I added the file with the graph.

C)

This can be solved by using integration, and yields 36 square units.

Hope this helps!

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3 0
3 years ago
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raketka [301]

Answer:

x=2

Step-by-step explanation:

So we have the equation:

5^x+5^{x+1}=150

First, separate the second term:

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Combine like terms:

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Divide both sides by 6:

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Substitute back u:

5^x=25

Take the base 5 logarithm of both sides:

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x=\log_5(25)

Evaluate the right:

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And we're done!

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