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geniusboy [140]
1 year ago
9

Use the graph that shows the solution to f(x)=g(x).

Mathematics
1 answer:
Charra [1.4K]1 year ago
4 0

The solution to the system of equations is given as follows:

x = 1 and x = 3.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the two equations are:

\frac{1}{x - 2} = x - 2

Applying cross multiplication:

(x - 2)(x - 2) = 1

x² - 4x + 4 = 1

x² - 4x + 3 = 0

(x - 1)(x - 3) = 0

Hence the solutions are:

  • x - 1 = 0 -> x = 1.
  • x - 3 = 0 -> x = 3.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

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Determine whether each relation is a function.
Vitek1552 [10]
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2 years ago
If the height of the cone, h, is 15 centimeters and the radius of the base, r, is 5 centimeters, what is the volume of the conte
Deffense [45]

Answer:

Step-by-step explanation:

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4 0
3 years ago
Jon ran around a track that was 1/8 of a mile long,he ran around the track 24 times,how many miles did Jon run
Sonbull [250]
Hi there 

So, if the track is 1/8 of a mile, let's call every lap a "one-eighth mile" run. We know John ran 24 laps, or that he ran 24 "one-eighth miles," just consecutive, one right after another. Let's stop worrying about rates or tricks or math for a second, and just ask: how many real miles is 24 "one-eighth" miles? We know it's less than 24---a lot less, since you have to go around 8 times just to get to 1 mile. Well wait, if we go around 8 times, we get 1 mile. That means if we go around 28, or 16 times, we get 2 miles; And let's just think to the next full mile---if we go 38, or 24 times, we get 3 miles. He did go around 24 times, so he must have run 3 miles on a 1/8 track.

Division and multiplication are inverses of each other. So we solved this by looking for an intuition for how many full miles corresponded to how many laps, with a bunch of steps of multiplication. But you can cut right to the chase and solve it faster with division---24 laps * 1 mile per 8 laps, means:

total distance = 24 Lap (1 mi / 8 Lap) total distance = 24/8 total distance = 3

6 0
2 years ago
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