Question

Please Help Me! Emergency ! I would really appreciate it.?
I'm realllllly stuck on these problems. I would truly appreciate the help. Thank you in advance.
1.http://i1149.photobucket.com/albums/o599/amandaelgamal/Untitled.jpg
2.http://i1149.photobucket.com/albums/o599/amandaelgamal/Untitled1.jpg
3.http://i1149.photobucket.com/albums/o599/amandaelgamal/Untitled2.jpg
4.http://i1149.photobucket.com/albums/o599/amandaelgamal/Untitled3.jpg

Answer 1

for the first one, solve each inequality for y, remember when dividing by zero the sign changes// the next one expand the binomial and see what that looks like// three i think you can handle// fourth link is dead

Answer 2

sorry not zero, negatives ;P

Answer 3

Consider 2x-y = -6
2x-y+6 = 0
x-int = -C/A = -6/2 = -3
So, from the graph, the solid line represent the equation of line 2x-y = -6

Put (0, 0) into 2x-y = -6
LS = 2(0) - 0 = 0 > -6

Since (0,0) is not in the shaded region, the equation should be LS<RS, that is
2x-y < -6
Since it is a solid line, the inequality should be less than or equal to.
So, you'll get \(2x-y \le -6\) as the first inequality

Answer 4

For question 2.
Consider the general equation of the graph \(y= a(x-h)^2 + k\)
Since the graph opens downwards, \(a\) in the equation should be negative.
(h,k) are the coordinates of the vertex. From the graph the vertex is (3, 1). Sub the value back into the general equation.
You should be able to get the answer now.

Answer 5

For question 3.
First, consider the equation
y= |x+2| +1
Pick a point from the line, say, (1,2)
LS = 2
RS = |1+2|+1 = 3
LS \(\ne\) RS
So, this is not the equation.

Consider the equation y= |x-2| +1. Pick a point (1,2)
LS = 2
RS = |1-2| + 1 = 1+1 =2
LS = RS
So, this is the equation.

Now, it's the time to determine the inequality sign.
Since it is a dotted line, it just the less than / greater than case, NOT with the equal to.
Pick a point to test the sign, say, (0, 0)
LS = 0
RS = |0-2| + 1 = 2+1 = 3 > 0

So, LS > RS
Like what I've done in question 1. Choose the most suitable inequality for the graph now.

Answer 6

For question 4.
Since the 2 equations have the same overlapping line on the graph, the 2 equations are the same in the reduced form.
So, divide both sides by their common factors to simplify the equations. Whichever gives you the same equation after simplifying it, that's the answer.
Note: You simply need to simplify the second equation in each option, compare it with the first equation in each option, then you can get the answer.

Answer 7

Thank you so much . You helped me big time!!

Answer 8

For question 4, I missed something there.
After doing so, you can rule out 2 options.
Then you need to determine the slope of the equation.
For the graph, you can see the slope is positive, so, calculate the slope of the 2 options and you can get the answer!~

Answer 9

thank you I will make sure to do so

Answer 10

Welcome :)