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Eddi Din [679]
2 years ago
6

Which of the following is a linear function? (89 POINTS)HURRY PLSSSSS

Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
8 0
<h3>Solution:</h3>

A linear function is a straight line formed on a coordinate plane.

<u>To classify an equation as a linear function:</u>

  • It must not have any exponent in the equation.
  • If there is a fraction, the denominator of that fraction must not multiply by x.

If any of these two occurs in an equation, the line can form a curve in a line, which is a non-linear function. A non-linear function is a curved line formed on a coordinate plane.

<u>Option A - y = x³ + 1:</u>

  • This equation has an exponent in the variable x. Hence, this is a non-linear function.

<u>Option B - 5x/6 = y - 4:</u>

  • This equation has no exponents in the equation. Hence, this is a linear function and also our answer.

<u>Option C - y = 8x²</u>

  • This equation has an exponent in the term 8x². Hence, this is a non-linear function.

<u>Option D - y = 1/5x</u>

  • The denominator of the fraction on the RHS side is multiplied by x. Hence, this is not a linear function.

Hence, Option B is correct.

<u>Learn more about </u><u>linear functions</u><u>:</u> brainly.com/question/15253497

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Answer: Width = 24 inches

Step-by-step explanation:

Let W represent the width of the rectangular sign.

The length of a rectangular sign is 6 inches more than half its width. It means that the length of the rectangular sign would be

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The formula for determining the area of a rectangle is expressed as

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W² + 12W - 864 = 0

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Since W cannot be negative, then

W = 24

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