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AfilCa [17]
3 years ago
14

The system of equations y=2x-1 and y=-1/4x+3 is shown on the graph below. What is a reasonable estimate for the solution?

Mathematics
1 answer:
statuscvo [17]3 years ago
4 0

Answer:

Something close to (1.8,2.6)

Step-by-step explanation:

y=2x-1

y=-1/4 x+3

Since y=2x-1 and y=-1/4 x +3 then 2x-1=-1/4 x +3.

I'm going to multiply both sides by 4 to get rid of the fraction:

8x-4=-x+12

Add x on both sides:

9x-4=12

Add 4 on both sides:

9x=16

Divide both sides by 9:

x=16/9 is approximately 1.8 when put into calculator.

Now if x=16/9 and y=2x-1, then y=2(16/9)-1=32/9-1=32/9-9/9=(32-9)/9=23/9.

y=23/9 is approximately 2.6 when put into calculator.

So we are looking for an ordered pair pretty close to (1.8,2.6).

The graph is shown to you so I will put one here as well:

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3 years ago
Dr,Goode prescribes 0.2 grams of cold medicine for Donald. This medicine comes in tablets that are 0.5 grams or 0.05 grams. Shou
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Using proportions, it is found that Donald should order 4 of the 0.05 gram tablets.

  • This question is solved by proportions, using a <em>rule of three</em>.
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The <em>rule of three</em> is:

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Applying cross multiplication:

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Donald should order 4 of the 0.05 gram tablets.

For more on proportions, you can check brainly.com/question/24372153

7 0
2 years ago
doors for the small cabinet are 12.5 inches long. Doors for the large cabinet are 2.5 times as long as the doors from the small
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3 years ago
A line intersects the points (-5, 1) and (-2,7). What is the slope of the line in simplest form? m=[?}
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Step-by-step explanation:

To find slope : y2- y1 / x2 - x1

we have ( -5 , 1 ) which is ( x1 , y1 )

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4y is not a like term.

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