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valkas [14]
3 years ago
15

Which of these ordered pairs could you remove to make this relation a function? {(-2,1), (-1, -5), (-1,5), (0, -7), (2, 1)}

Mathematics
1 answer:
tamaranim1 [39]3 years ago
7 0

Your answer would be B. (-1,5).

In order for the order pairs to be a function. All of the x coordinates must be different from each other, they can't be the same. There can't be any repeats of the x coordinates. But for the y coordinates, it's okay for them to be the same. The reason why you would eliminate (-1,5) is because there are 2 -1 x coordinates, and that would not make the ordered pairs a function. When you remove them, none of the x coordinates are the same anymore, so it would now be a function.

Hope this helps out :)


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What is an equation of the line that passes through the point (-5,-3)(−5,−3) and is parallel to the line 3x+5y=15
Sunny_sXe [5.5K]

Answer:

  • y = -3/5x - 6 or 3x + 5y = -30

Step-by-step explanation:

<u>Given line:</u>

  • 3x + 5y = 15

<u>Converting into slope-intercept form:</u>

  • 3x + 5y = 15
  • 5y = - 3x + 15
  • y = -3/5x + 3

<u>Parallel lines have the same slope, so the parallel line will be:</u>

  • y = -3/5x + b

<u>Using given point (-5, -3) finding the y-intercept:</u>

  • -3 = -3/5(-5) + b
  • -3 = 3 + b
  • b = -3 - 3
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<u>So the line is:</u>

  • y = -3/5x - 6

<u>Or converted into standard form:</u>

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8 0
3 years ago
Marine fuel is a combination of gasoline and motor oil. The standard gasoline and oil mixture is about 98% gasoline and about 2%
Georgia [21]

Answer:

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0.96g+ 0.04m= 6.25 gallons break oil

3.92 gallons of gasoline  is required for  4 gallons the standard mixture

Step-by-step explanation:

If we have to use 6 gallons of gasoline this means that 98%= 6 gallons and 2% would be 6/98*2

Gasoline: Motor oil

6              :    x

98        : 2

Using the product rule

x= 6*2/98= 0.1224 gallons of motor oil is required.

Let the gasoline be represented by g and motor oil by m then for the standard oil the equation would be

0.98g+ 0.02m= 7.1224 gallons standard mixture

For break in oil

Gasoline: Motor oil

6              :    x

96        : 4

Using the product rule

x= 6*4/96= 0.25 gallons of motor oil is required.

Let the gasoline be represented by g and motor oil by m then for the break oil the equation would be

0.96g+ 0.04m= 6.25 gallons break oil

Part b. For  4 gallons of the "break in" mixture

96% of the 4 gallons of the "break in" mixture is gasoline =  3.84 gallons of gasoline

4% of 4 = 0.16 gallons of motor oil

Now the standard mixture 4 gallons would contain 98 % of gasoline and 2 % of motor oil

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6 0
3 years ago
The area rug in your living room is 5 feet longer than it is wide. If the rug is
Romashka-Z-Leto [24]

Answer:

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Step-by-step explanation:

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width  = a + 2 + 2 = a + 4

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length = 17 ft and width = 12 ft

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