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xxMikexx [17]
3 years ago
10

Write the three forms of the line parallel to the line represented by the equation, 8x+3y=11 such that it passes through the poi

nt (9, -5).
Mathematics
1 answer:
Misha Larkins [42]3 years ago
6 0

Answer:

  • 8x + 3y = 57
  • y = -8/3x + 19
  • y + 5 = -8/3(x - 9)

Step-by-step explanation:

<u>Given function</u>

  • 8x+3y=11

<u>Line parallel to the given has the same slope and passes through the point </u>

  • (9, -5)

<u>Determining the equation</u>

  • 8x + 3y = c
  • 8*9 + 3*(-5) = c
  • c=72 - 15
  • c = 57

<u>So the function is in </u><u>standard</u><u> form</u>

  • 8x + 3y = 57

<u>Converting to </u><u>slope-intercept</u><u> form</u>

  • y = mx + b
  • 3y = -8x + 57
  • y = -8/3x + 573
  • y = -8/3x + 19

<u>Point-slope</u><u> form, using the given point</u>

  • y - y1 = m(x - x1)
  • y - (-5) = -8/3(x - 9)
  • y + 5 = -8/3(x - 9)

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To solve the problem we must know about Z-Score.

<h3>What is Z-score?</h3>

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

Z = \dfrac{X- \mu}{\sigma}

Where Z is the Z-score,

X is the data point,

μ is the mean and σ is the standard variable.

The life span of an appliance that has a z-score of –3 is 24 months.

Given to us

  • Mean, μ = 48 months,
  • standard deviation, σ = 8 months,
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<h3> What is the life span of an appliance?</h3>

The life span of the appliance can be calculated using the Z-score formula,

Z = \dfrac{X- \mu}{\sigma}

Substitute the values,

-3 = \dfrac{X- 48}{8}\\\\-3 \times 8 = X - 48\\\\-24+48=X\\\\X = 24\ months

Hence, the life span of an appliance that has a z-score of –3 is 24 months.

Learn more about Z-score:

brainly.com/question/13299273

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Step-by-step explanation:

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