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3 years ago

What is the slope-intercept form of the linear equation x + 4y = 12?

Mathematics

1 answer:

rosijanka [135]3 years ago

5 0

Answer:

y=-1/4x+3

Step-by-step explanation:

To get to slope intercept form (y=mx+b), you have to isolate y. First, you subtract x from both sides to get 4y=-x+12. You then have to divide both sides by 4 to finish isolating y. There is an implied 1 in front of x, so you divide 1 by 4 to get the slope (1/4). You also divide 12 by 4 to get 3. Ultimately (and don't forget the negative sign in front of the slope, from subtracting x earlier), you end up with y=-1/4x+3. Hope this helped!

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Blizzard [7]

Answer:

z score Perry $z=-1.402$

z score Alice $z=-1.722$

Alice had better year in comparison with Perry.

Step-by-step explanation:

Consider the provided information.

One year Perry had the lowest ERA of any male pitcher at his school, with an ERA of 3.02. For the males, the mean ERA was 4.206 and the standard deviation was 0.846.

To find z score use the formula.

$z=\frac{x-\mu}{\sigma}$

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Alice had the lowest ERA of any female pitcher at the school with an ERA of 3.16. For the females, the mean ERA was 4.519 and the standard deviation was 0.789.

Find the z score

where μ=4.519 and σ=0.789

$z=\frac{3.16-4.519 }{0.789}$

$z=\frac{-1.359}{0.789}$

$z=-1.722$

The Perry had an ERA with a z-score is –1.402. The Alice had an ERA with a z-score is –1.722.

It is clear that the z-score value for Perry is greater than the z-score value for Alice. This indicates that Alice had better year in comparison with Perry.

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