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gtnhenbr [62]
3 years ago
15

Identify the independent variable (domain). 5x+2y= 150

Mathematics
1 answer:
Sidana [21]3 years ago
8 0

Answer:

The independent variable is x

Step-by-step explanation:

In the equation y = m x + b

  • m is the rate of change ⇒ constant
  • b is the initial value ⇒ constant
  • x is the domain ⇒ input
  • y is the range ⇒ output

x is the independent variable because it does not depend on any value

y is the dependent variable because it depends on the value of x

Let us solve the question

∵ 5x + 2y = 150

→ Put it in the form above by subtracting 5x from both sides

∵ 5x - 5x + 2y = 150 - 5x

∴ 2y = 150 - 5x

→ Divide each term by 2 to make the coefficient of y equal 1

∴ y = 75 - 2.5x

∴ y = -2.5x + 75

→ Compare is by the form above

∴ m = -2.5 and b = 75

∴ x is the independent variable (domain)

∴ y is the dependent variable (range)

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As you know, the area of a square is the square of the side length. It can be helpful here to make use of the form for the square of a binomial.

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__

<em>Check</em>

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