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Alecsey [184]
3 years ago
12

Are the graphs of the lines in the pair parallel? Explain. y = 2/3x– 17 4x – 6y = –6

Mathematics
2 answers:
leva [86]3 years ago
7 0
<span>Lines are parallel if their slopes are the same. Write each equation in the form y = mx + c. If m is the same the two lines are parallel. So write the equations using y=mx+b y=2/3x-17 is already in that form 4x-6y=-6 is not. To get that equation in the formula, subtract 4x from both sides so the -6y=-4x-6. Next divide by -6 so that y= -4/-6x+1
hopethis gives alot of information :)</span>
ikadub [295]3 years ago
5 0
Find the slpes

if they are, then they are paralell

y=mx+b
m=slope
y=2/3x-17
slope=2/3


the other slope
in form ax+by=c
slope=-a/b
4x-6y=-6
-4/-6=2/3

2/3=2/3
the lines aer paralell
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Andrea Is selling candles as a fundraiser she spent $50 on supplies for making the candles she plans to sell candles for $10 eac
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COMPLETE QUESTION:

Andrea is selling candles as a fundraiser. She spent $50 on supplies for making the candles. She plans to sell the candles for $10 each. Her profit can be modeled by C(x) = 10x - 50.

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What is the domain and range of the function?

Answer:

- This function is one-to-one

- Domain D = {x: x is a whole number ≤ Z}

- Range R = {y: y is in -50, ..., (10Z - 50)}

Where Z is the number of candles she could produce with $50.

Step-by-step explanation:

Given that her profit is modeled by C(x) = 10x - 50

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Let the number of candles she could make with $50 be Z.

Then the domain is the set of all whole numbers less or equal to Z.

D = {x: x is a whole number ≤ Z}

If there are infinite number of candles she could make with that money, then

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When x = 0, we have C = -50

When x = Z, we have C = 10Z - 50

The range is then given as

R = whole numbers from -50 up to (10Z - 50)

R = {y: y is in (50 -Z), ..., (10Z - 50)}

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Distance between city airport and the train station = 45 miles

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Hence, the distance between the two adjacent gas stations will be 5 miles.

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