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3 years ago

If you were to use the substitution method to solve the following system, choose the new

Mathematics

1 answer:

mestny [16]3 years ago

5 0

Answer:

23x = -115

Step-by-step explanation:

In the substitution method, you must solve for 1 variable in 1 equation to replace it in the other equation. For the system:

2x - 7y = 4

3x + y = -17

Solving for y in the second equation:

y = -17 - 3x

Replacing y in the first equation:

2x - 7(-17 - 3x) = 4

2x + 119 + 21x = 4

23x = -115

This is the new equation after use the substitution method.

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In the table below, x represents miles traveled and y represents the cost to travel by train.

Fiesta28 [93]

Answer:

4.00

Step-by-step explanation:

Given

x: 2 , 5 , 8 , 12

y: 8.50, 15.25, 22.00. 31.00

Required

Determine the y intercept

First, we calculate the slope:

$m = \frac{y_2- y_1}{x_2 - x_1}$

Where

$(x_1,y_1) = (2,8,50)$

$(x_2,y_2) = (12,31.00)$

$m = \frac{31.00 - 8.50}{12 - 2}$

$m = \frac{22.5}{10}$

$m = 2.25$

Next, we calculate the equation:

$y - y_1 = m(x - x_1)$

Where:

$(x_1,y_1) = (2,8,50)$

$m = 2.25$

The equation becomes:

$y - 8.50 = 2.25(x - 2)$

$y - 8.50 = 2.25x -4.5$

Make y the subject

$y = 2.25x -4.5+8.50$

$y = 2.25x +4$

Take $x =0$ ; to get the y intercept

$y = 2.25*0 +4$

$y = 4$

<em>Hence, the y intercept is 4.00</em>

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Let's say b equals 2

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The box-and-whisker plot below represents some data set. What percentage of the data values are less than 44?

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What percent of the large rectangle below is shaded?

Rama09 [41]

Answer:

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Step-by-step explanation:

8 out of 10 boxes are shaded and when you put it out of 100 you get 80 out of 100. or 80%

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Four students conducted a survey about sports preferences at their middle school. Each

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Answer:

Ellen's survey is more representative

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