MATHEMATICS MIDDLE SCHOOL

Which system of linear inequalities is represented by the
graph?
Which system of linear inequalities is represented by the graph? - 1

Answers

Answer 1
Answer:

Answer:

y <x+1

y>x-2

Step-by-step explanation:

According to the graph, the system is formed by two inequalities. Let's find out the equation to each line in first place.

Notice that the upper line passes through points (-1,0) and (0,1). First, we find its slope

m=(y_(2)-y_(1) )/(x_(2)-x_(1) )=(1-0)/(0-(-1))=(1)/(1)=1

Then, we use the point-slope formula to find the equation

y-y_(1) =m(x-x_(1) )\ny-0=1(x-(-1)\ny=x+1

Now, the dashed line indiactes that the inequalities must have sings < or >.

Notice that point (0,0) is part of its solution, that means the inequality is

y <x+1

We do the same process to find the other inequality.

The line passes through points (0,-2) and (2,0).

m=(y_(2)-y_(1) )/(x_(2)-x_(1) )=(0-(-2))/(2-0)=(2)/(2)=1

Then,

y-y_(1) =m(x-x_(1) )\ny-0=1(x-2)\ny=x-2

Notice that point (0,0) is part of its solution, so the inequality is

y>x-2

Therefore, the system of inequalities is

y <x+1

y>x-2
Answer 2
Answer:

Answer:

y<x+1      y>x-2

Step-by-step explanation:

upper line: (0,1) (-1,0)

y=x+1

Lower line: (0,-2) (2,0)

y=x-2

I did not see any solid boundry on the line

Shaded: y<x+1      y>x-2

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How is the difference 14/15-5/12 written as a decimal?

Answers

14 / 15  -    5 / 12          LCM of 12 and 15 is 60.

(14/15)*(60/60) - (5/12)*(60/60)

= 56 / 60    -   25 / 60

= (56 - 25) / 60

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Write a number that is greater than 8.604 but less than 8.643

Answers

8.605
This number is bigger than 6.604 and it is smaller than 8.643
:)
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The measure of an angle is 34º. What is the measure of its supplement?A.
146º

B.
34º

C.
214º

D.
56º

Answers

A. 146
Hope this helped

You want to put some money in a simple interest account. It pays 8% interest annually for 2 years. You would like to earn $500 in interest. How much money do you need to put in?

Answers

500=P*0.08*2
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Round each decimal to the nearest whole number. 12.1

Answers

The answer is 12.
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Simplify 12n-2n⁴-10n-2n⁴+n

a. 4n⁴+3n
b. 3n
c. -4n⁴+3n
d. -n¹¹

Answers

The answer is C. -4n⁴+3n.


Separate the expression by its like terms.

12n-2n⁴-10n-2n⁴+n

12n+(-10n)+n=3n

-2n⁴+-2n⁴=-4n⁴


The simplified expression comes out to -4n⁴+3n.

Answer:

C

Step-by-step explanation:
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