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2 years ago

Which inequality has the graph shown below?

Mathematics

1 answer:

expeople1 [14]2 years ago

4 0

Answer:

The answer is y < 2x -3

Step-by-step explanation:

You can read this as all values on the graph will be the value of x times 2 minus 3..

For example, if we wanted to know what the value of y would be if x =2, we would plug in 2 and get 2(2) - 3 or just 1. We can see at the graph that when x = 2 y does equal 1. **In this situation we are pretending that the < symbol is the equal symbol..

To actually find the answer you can graph each equation until you find it or do it this way:

1) Find the slope and determine if it it works for the given graph.

We can see that the slope of the given graph is positive and if we look closer we can see that the slope is 2 over and that we have a y-intercept of (0,-3).

2) We know that it is Option 2 instead of the first option because o the < sign. If it was option 1, then the shaded part of the graph would be on the other side of the line.

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X - y= -4 -2x +3y =6

STatiana [176]

Answer:

x=-6, y=-2, (As a point) (-6, -2).....The point form is not necessary unless you want to solve the system (of equations) by graphing.

Step-by-step explanation:

By substitution:

x-y=-4 By adding y on both sides,

x=y-4

Now you can substitute x for the expression (y-4)

Plug the (y-4) as x in the other equation.

So -2x+3y=6 becomes

-2(y-4)+3y=6

Now solve:

-2(y-4)+3y=6 distributes out to be

-2y+8+3y=6 Now combining like terms

y+8=6 Subtract 8 on both sides to isolate the variable

y=-2

Now plug the value -2 in where the y is in any equation (preferably the easier/less complicated one) and solve for x.

So x-y=-4 becomes

x-(-2)=-4

=x+2=-4

=x=-6

3 0

2 years ago

The total employment for police officers in 2006 was 648,000. If there are 719,000 police officers in 2016, what will the percen

Lubov Fominskaja [6]

If you increase the number of police officers from 648,000 to 719,000...you have increased the total employment by 719,000 minus 648,000
= 71,000

You want to see how much the percentage increase was from 2006 to 2016, so you use your 2006 value of police officers to find the percentage increase.

So you divide 71,000 by 648,000 and multiply by 100
=10.957%

Rounded off to 10.96% which is your final answer

7 0

2 years ago

What is the length of side x or the right triangle below

Anestetic [448]

Answer:

Step-by-step explanation:

by looking at the bottom the answer is 98

3 0

2 years ago

Carter is going to invest $210 and leave it in an account for 5 years. Assuming the interest is compounded annually, what intere

mr_godi [17]

Answer:360

Step-by-step explanation:g-g5

5 0

2 years ago

Use Tornados data and find two months (month X and month Y) for which we have the SECOND strongest NEGATIVE correlation. Create

viva [34]

Answer:

None of the statements is true. that is (e) None of the choices.

Step-by-step explanation:

Because if we go by the definition above that that Month X and month Y have the " strongest NEGATIVE correlation" then we can see clearly see that the option is not included.

Negative Correlation: this is the exact relationship between two variables whereby if one variable increases then the other variable decreases and vice versa.

Hence by this we are suppose to conclude that if we observe more tornadoes in month X then we will observe less tornadoes in Month Y.

5 0

2 years ago