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AleksAgata [21]
3 years ago
7

Write an equation parallel to y=-3x-2 through the point (3, -5)

Mathematics
2 answers:
Free_Kalibri [48]3 years ago
3 0

Answer:

y = -3x + 4

Step-by-step explanation:

I graphed the equation and the point given on the graph below. The other line is the equation that is parallel.

If this answer is correct, please make me Brainliest!

Norma-Jean [14]3 years ago
3 0

Answer:

y = - 3x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x - 2 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus

y = - 3x + c ← is the partial equation

To find c substitute (3, - 5) into the partial equation

- 5 = - 9 + c ⇒ c = - 5 + 9 = 4

y = - 3x + 4  ← equation of parallel line

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Answer:

The bolts with diameter less than 5.57 millimeters and with diameter greater than 5.85 millimeters should be rejected.

Step-by-step explanation:

We have been given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviation of 0.08 millimeters.    

Let us find the sample score that corresponds to z-score of bottom 4%.  

From normal distribution table we got z-score corresponding to bottom 4% is -1.75 and z-score corresponding to top 4% or data above 96% is 1.75.

Upon substituting these values in z-score formula we will get our sample scores (x) as:

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Therefore, the bolts with diameters less than 5.57 millimeters should be rejected.

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