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Rina8888 [55]
3 years ago
8

Find the LCM of (6x - 18) and (2x² - 6x)? Please explain as well I really need this answer.

Mathematics
1 answer:
atroni [7]3 years ago
3 0
The least common multiple can be found a couple of ways. For this, it is probably easiest to identify the unique factors of each expression.
  (6x -18) = 6(x -3) = 2*3*(x -3)

  (2x² -6x) = 2x(x -3)

Then the unique factors are 2, 3, x, (x -3). Their product is the LCM:
  LCM = 6x(x -3) = 6x² -18x

_____
If one or more of the factors is raised to a power other than 1, use the highest power of that factor in the final product.
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sveticcg [70]

Using equations of linear model function, the number of hours Jeremy wants to skate is calculated as 3.

<h3>How to Write the Equation of a Linear Model Function?</h3>

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Equation for Rink A:

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Equation for Rink B:

Unit rate (m) = (39 - 15)/(5 - 1) = 24/4 = 6

Substitute (x, y) = (1, 15) and m = 6 into y = mx + b to find b:

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Substitute m = 6 and b = 9 into y = mx + b:

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To find how many hours (x) both would cost the same (y), make both equation equal to each other

4x + 15 = 6x + 9

4x - 6x = -15 + 9

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The hours Jeremy wants to skate is 3.

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<h3>What is simplification?</h3>

The process of reducing the complex mathematical expressions into the simplest form is called as the simplification.

The simplification of the given expression will be:

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