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andrey2020 [161]
3 years ago
5

How would the domain & range of Y= 1/4x-6 be determined HELP ASAPP!!!

Mathematics
1 answer:
liq [111]3 years ago
5 0

Answer:

Domain=\mathbb{R}\to x\in(-\infty,\ \infty)\\\\Range=\mathbb{R}\to x\in(-\infty,\ \infty)

Step-by-step explanation:

y=\dfrac{1}{4}x-6}

It's an equation of a linear function in the slope-intercept form:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

The domain of any linear function is the set of all real numbers.

The range of any linear function where m ≠ 0 is the set of all real number.

If m = 0, then the equation of a line is y = b. Then the range is {b}.

We have m = 1/4 ≠ 0. Therefore the range is the set of any real numbers.

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Step-by-step explanation:

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When x = 1, y = 1+5 = 6 ----> Plot the point (1,6) on graph paper

When x = 2, y = 2+5 = 7 ----> Plot the point (2,7) on graph paper

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Step-by-step explanation:

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3 years ago
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3 years ago
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3 years ago
The ratio of two numbers is 8:7. The product of these numbers is 896. What is the smaller of these two
Darina [25.2K]

Answer:

  28

Step-by-step explanation:

You want the smaller of the two factors of 896 that have the ratio 8:7.

<h3>Setup</h3>

Let x represent the smaller of the two factors (the one we want to find). Then the larger factor is (8/7)x, and their product is ...

  x(8/7)x = 896

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<h3>Solution</h3>

Multiplying by the inverse of the coefficient of x², we have ...

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The smaller of the two numbers is 28.

__

<em>Additional comment</em>

The larger is (8/7)(28) = 32.

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1 year ago
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