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netineya [11]
3 years ago
13

What transformations are applied to the graph of the function f(x)=10^x to produce the function g(x)=3(10)^x-2

Mathematics
1 answer:
tatiyna3 years ago
7 0

Answer:

  • D) A vertical dilation by a factor of 3 and a vertical shift down 2 units

Step-by-step explanation:

<u>Given</u>

  • f(x)=10^x
  • g(x)=3(10)^x - 2

<u>We see that:</u>

  • g(x) = 3f(x) - 2

This is a vertical stretch by a factor of 3 and translation down 2 units

Correct choice is D

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Answer:

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Express in simplest radical form.<br> V40
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Answer:

\huge\boxed{2 \sqrt{10}}

Step-by-step explanation:

When taking a square root and making it a radical, we need to list out it's factors and find which one we can take the square root of.

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1, 2, 4, 5, 8, 10, 20, 40.

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We know that the square root of 4 is 2.

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3 years ago
David needs 36 gallons of punch for a party and has two different coolers to carry it in. the bigger cooler is 5 times as large
serg [7]

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The large cooler can contain is = 30 gallons.

<h3>What is volume surface area?</h3>

Any particular object's surface area is the space that the object's surface takes up. Volume, however, refers to the quantity of space a thing has. Different shapes and sizes exist in geometry, including spheres, cubes, cuboid shapes, cones, and cylinders, among others. Both the surface area and the volume are unique to each shape.

<h3>According to the given information:</h3>

The number of gallons that a small cooler can hold is: x gallons.

and a larger cooler can hold: 5x the number of gallons.

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In comparison to the smaller cooler, the larger cooler is five times bigger.

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