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Butoxors [25]
3 years ago
6

Find the equation of the line that is parallel to y = -7x + 2 and contains the point (-5,32)​

Mathematics
2 answers:
photoshop1234 [79]3 years ago
7 0

Answer:

Y=-7x-3

Step-by-step explanation:

astraxan [27]3 years ago
7 0

Answer:

y = - 7x - 3

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 = - 7x + 2 ← is in slope- intercept form

with slope m = - 7

Parallel lines have equal slopes, thus

y = - 7x + c ← is the partial equation

To find c substitute (- 5, 32) into the partial equation

32 = 35 + c ⇒ c = 32 - 35 = - 3

y = - 7x - 3 ← equation of parallel line

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To make a profit, a company’s revenue must be greater than its operating costs. The company’s revenue is modeled by the expressi
valina [46]
Revenue = 7.5x - 100
Operation Costs = 5.8x + 79.86

To break even, operation cost = Revenue
⇒ 7.5x - 100 = 5.8x + 79.86
7.5x = 5.8x + 179.86 (Add 100 to both sides)

7.5x - 5.8x = 179.86
1.7x = 179.86
x = 105.8

This implies that the company will need to sell at least 106 items to make a profit.

The inequality that will determine the number of items at need to be sold to make a profit is x ≥ 106

The solution to the inequality is as follows

Revenue = 7.5x - 100
if x =106
Revenue = 7.5(106) - 100
Revenue = 695

Operational Cost = 5.8x + 79.86
if x = 106
Operational Cost = 5.8(106) + 79.86
Operational Cost = 694.66

Profit ≥ (695 - 694.66)
Profit ≥ 0.34

The company must sell at least 106 items to make a profit.
8 0
3 years ago
Read 2 more answers
An 8-foot roll of wrapping paper costs $12.48. What is the price per inch?
Kisachek [45]

The price of this wrapping paper per inch is equal to $1,198.08.

<u>Given the following data:</u>

  • Cost of wrapping paper = $12.48.
  • Length of wrapping paper = 8 foot.

To determine the price of this wrapping paper per inch:

<h3>How to solve the problem.</h3>

In this exercise, you're required to solve for the cost of an 8-foot roll of wrapping paper that costs $12.48. Thus, we would convert the length of this wrapping paper in foot to inch and then multiply by $12.48.

<u>Conversion:</u>

1 foot = 12 inch

8 foot = X inch

Cross-multiplying, we have:

X = 8 \times 12

X = 96 inch

For price per inch:

Price = 12.48 \times 96

Price = $1,198.08

Read more on word problems here: brainly.com/question/13170908

3 0
2 years ago
tony scored 22 and 25 points in the first two games of a basketball tournament. Tony's goal is to make the all-tournament team.
ad-work [718]
Tony's current scores are 22  and 25.
Let x = Tony's next score.

To make the lower required score of 27,
(x + 22 + 25)/3 = 27
x  = 81 - 47 = 34

To make the upper required score of 32,
(x + 22 + 25)/3 = 32
x = 96 - 47 = 49

Answer:
Tony should score between 34 and 49
8 0
3 years ago
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Construct a triangle ABC in which BC-8 cm, B = 45° and AB-AC-3.5cm​
Vlada [557]

Step-by-step explanation:

This is the photo of the construction you needed

3 0
2 years ago
Please help I asked this question earlier and nobody answered! :(​
tatiyna

Answer:

B

Step-by-step explanation:

One way to tell is to put both equations into slope-intercept form.  That form is usually written y=mx+b where  <em>m</em>  is the slope and  <em>b</em>  is the y-intercept.

Solve the first equation for y.

6x+2y=5 \\ 2y=-6x+5 \\ y=-3x+5/2

The slope of this line is -3, and its y-intercept is 5/2.

Solve the second equation for y.

y+3x=2\\y=-3x+2

The slope of this line is -3 and its y-intercept is 2.

The lines are parallel because they have the same slope and <u>different</u> y-intercepts.  There is no solution to the system.

8 0
3 years ago
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