Help with this two problems please!?

you have a line .- The best way to graph it is using x and y intercepts.-

I suppose the line 2y +12x =24 then x=0 , y= 12 (0,12) to graph and when y=0 , x=2 ( 2,0) to graph .- Trace a line between this points .- That ´s all .-

The second one , trace in the same way y= 6x+8 .- You have graphed y EQUAL 6x+8 , then y<6x+8 is all the AREA BELOW your graph .- that´s all .- :-)

Well for the first one, 2y+12=24, you need to get y by its self in order for it to be a linear function.

So, using algebra...

2y+12=24

2y+12-12=24-12

2y=12

(2y)/2=12/2

y=6

So when you graph this it will be a line with a slope of 0 (horizontal) passing through the y-intercept of (0,6), other points may include (3,6), (-2,6), etc.

For the inequality y<6x+8, it is already in linear form, which is y=ax+b by the way.

So graph the line y=6x+8

The y-intercept will be at (0,8) and for every unit to the right you move (along the x axis) you will move up 6 on the y axis so other points include (1,14) and (-1,2). Make sure you make this a dotted line because the < (as well as a > sign) means that the line is not part of the solution.

To satisfy the inequality you need to shade in the portion of the graph that shows all solutions. Because y is less than (<) you will shade below the line(further down on the y axis). If you have the inequality x<5, then there really is no "below the line" so you would shade to the left for < and the right for >. Because if x is less than 5 shading to the right gives you x values greater than 5.

Addition: 1/4y+1/2=24

You can deal with fractions by either multiplying both sides to remove them or just working the problem with the fractions.

1/4y+1/2=24

4(1/4y+1/2)=4(24)

y+2=96

y=94

{94}

OR

1/4y+1/2=24

1/4y+1/2-1/2=24-1/2

1/4y=47/2

4(1/4y)=4(47/2)

y=94

So, if you were to graph this you would make a horizontal line passing through the y-intercept of 94 (0,94).

put the first equation into y=mx+b form

this would be:

2y+12=24

<subtract 12>

2y=12

<divide by 2>

y=6, the y-intercept is 0, and the slope is 6, or as a fraction of rise over run, 6/1.

For the inequality, imagine the less than sign as an equals sign and graph it like a line. Then, if it is less than symbol, shade below the line you just graphed. If it is an equals symbol, shade above the line because this shows all of the possible solutions for the variable.

For the first one, subtract 12 from both sides and you'll get 2y = 12, and y = 6. To graph it, graph a horizontal line 6 units above the x-axis.

For the second one, graph the line y = 6x + 8 with a dotted line and shade under it. You have to use a dotted line because it is y < 6x + 8, not y ≤ 6x + 8.

1) 2Y + 12 = 24

2Y = 24 - 12

2Y = 12

Y = 6 (Go on the Y-axis, go up to 6, draw a horizontal line through 6)

2) y < 6x + 8

This one is tough, I can't do it with my knowledge. Sorry.

Simple. here's the work i hate typing: 2y+12=24

-12 -12

____ ____

2y 12

___ ___

2 = 2

Then you remove the twos from the fraction that has the y in it:

y=6

Understand? I learned this in third grade, when i was 8. If you would like to see it in words look at the people that wrote before me. I hope this helped!

2y+12=24

2y=12

y=6 | http://www.wolframalpha.com/input/?i=y%3D6+from+-1...

y<6x+8 draw the line y=6x+8 and shade below this line. The inequality doesn't include the line itself so the line should be broken. | http://www.wolframalpha.com/input/?i=y%3C6x%2B8 / http://www.wolframalpha.com/input/?i=RegionPlot[y+... (the second link is with equal scales.)

(1/4)y+1/2=24

y+2=96

y=94 | http://www.wolframalpha.com/input/?i=y%3D94+from+-...

The links are graphs of the functions/inequality.

I included all three because you mentioned that the first should be (1/4)y+1/2=24. This message has gone again now. It's back again now so I don't know what is going on. It's not the first time I've seen the extra detail message appear and disappear.

1. The president taking away from his duties of governing the country and spending his energies instead on campaigning for reelection. His first term decisions are made with an eye toward positioning himself for an upcoming election, instead of what is best for the country. 2. There is nothing to stop a company from charging the federal government more than the original terms agreed upon in the bid. Cost overruns are an excepted part of government spending. Interestingly, the Confederate Constitution addressed both of these problems.

not sure, but isn't the first one just a horizontal line, y = 6? and the second would be the area under the line y=6x+8?

Rewrite the first equation!!!