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3 years ago

Which of the following lines is not parallel to the graph of y=4x+7. y-4x=9 4x-y=8 . 4y-x=8 8x-2y=8

Mathematics

1 answer:

DENIUS [597]3 years ago

5 0

y = 4x + 7

This equation is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. The slope of this line is 4. Parallel lines have the same slope, thus a line not parallel to this line will not have a slope of 4. Let's check which of these lines does not have a slope of 4.

y - 4x = 9

y = 9 + 4x (add 4x to both sides)

y = 4x + 9 (switch the constant and x-term)

This line has a slope of 4.

4x - y = 8

-y = 8 - 4x (subtract 4x from both sides)

y = -8 + 4x (divide both sides by -1)

y = 4x - 8 (switch the constant and x-term)

This line has a slope of 4.

4y - x = 8

4y = 8 + x (add x to both sides)

y = 8/4 + x/4 (divide both sides by 4)

y = x/4 + 2 (simplify and switch constant and x-term)

This line has a slope of 1/4. It is thus not parallel to the line y = 4x + 7.

Answer:

4y - x = 8

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Voltage sags and swells. The power quality of a transformer is measured by the quality of the voltage. Two causes of poor power

zysi [14]

Answer:

$z-score = 1.57$

$z-score_s = -3.36$

Step-by-step explanation:

From the question we are told that

The sample size is n = 103

The sample mean of sag is $\= x_1 = 353$

The sample mean of swells is $\= x_2 = 184$

The standard deviation of sag is $s_1 = 30$

The standard deviation of swells is $s_2 = 25$

The number of swell for a randomly selected transformer is k = 100

The number of sag for a randomly selected transformer is c = 400

Generally the z-score for the number of swells is mathematically represented as

$z-score_s = \frac{ k - \= x_2}{s_2}$

=> $z-score_s = \frac{ 100- 184}{25}$

=> $z-score_s = -3.36$

Generally the z-score for the number of sags is mathematically represented as

$z-score = \frac{ c - \= x_1}{s_1}$

$z-score = \frac{ 400 - 353}{30}$

$z-score = 1.57$

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