Mathematics: Correct answer only which system of inequalities represents the graph?

Correct answer only which system of inequalities

j015

27.05.2020

y= mx + b

1) line 1.

b= 1, m=1/7, y= 2/7x +1

Colored under this line, and line is solid, so y≤ 2/7x +1.

We can modify it

7* y≤ 7*(2/7x +1), ---> 7y≤ 2x +7 or 7y-7≤2x

We have this inequality in A. and D.

2) line 2. Lets take dotted line.

y = mx + b

b= -5, m = 8/2 = 4

y = 4x -5

Colored over this line, so it is y > 4x -5. or y+5>4x

y+5>4x Between A and D we have this inequality in D.

So, we can check D.

Answer is D, if we look at the graph.

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dreamdancekay

29.01.2022

23/56 centimeters

Step-by-step explanation:

all of the variables have a common denominator, so you can effectively ignore the denominator when solving.

1. you start off with 34/56 centimeter of chalk and Brian breaks off 23/56 centimeters worth, leaving you with 11/56 centimeters

$\frac{34}{56} -\frac{23}{56} =\frac{11}{56}$

2. Sara then added 12/56 centimeters worth, making the final amount 23/56 centimeters of chalk

$\frac{11}{56}+\frac{12}{56} =\frac{23}{56}$

An equation to summarize all of this is:

$\frac{34}{56} -\frac{23}{56} +\frac{12}{56}$

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