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Alex787 [66]
3 years ago
8

Which input value produces the same output value for the two functions on the graph?

Mathematics
1 answer:
GrogVix [38]3 years ago
6 0

Answer:

The image of both graphs can be seen below:

Both functions will have the same output for an input x₀ if:

f(x₀) = g(x₀)

This means that, for that particular value of x₀, the functions will intersect each other.

So we just need to look at the graph and find the x-value where the functions intersect. (Remember that the x-values are in the horizontal axis)

We can see that it happens at x = 1.

Then the input value that produces the same output value for the two functions is:

x = 1

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Two angles are complementary. two times the measure of one is equal to 40% of the measure of the other. find the measure of both
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The measure of both angles are 112.5 and 68.5 degrees

<h3>Complementary angles</h3>

The sum of two complementary angles is 90 degrees.

If two angles are complementary, then;

x + y = 90

x = 90 - y..........1

where x and y are the angles

If  two times the measure of one is equal to 40% of the measure of the other then;

2x = 0.4y ............2

Substitute equation 1 into 2

2(90-y) = 0.4y

180 - 2y = 0.4y

180 = -0.4y + 2y

1.6y = 180

Divide both sides by 1.6

1.6y/1.6 = 180/1.6

y = 112.5 degrees

For the other angle

x= 180 - y

x = 180 -112.5

x = 68.5 degrees

Hence the measure of both angles are 112.5 and 68.5 degrees

Learn more on complementary angles here: brainly.com/question/16281260

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mel-nik [20]

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0.0618.

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