Answer:
3
Step-by-step explanation:
I think the easiest way to go about this is to choose on of the answers and fill it in to see if it's correct. Since you only have 4 possible answers, there's no need to actually solve this.
In the question it already tells us that x does not equal 0, so that answer is automatically not correct. Now your down to three possible answers.
Start with -3. First, fill in the x with -3 for what the equation is supposed to equal. That gives you 3/-3. Simplified, that is -1. Now put -3 in for the x in the equation. That gives you 3/2(-3) + 1/2. After running that through your calculator or solving it, you end up with 0. So -3 is not your answer.
Next we'll try the 2. Do as we did last time, and fill in the x on the answer part of the equation. You now have 3/2. That doesn't simplify so it stays as is. Now for the equation. That makes it 3/2(2) +1/2. Put that in your calculator or solve, and you get 5/4. 5/4 does not equal 3/2 so 2 is not your answer.
That leaves 3. You can go ahead and run through the steps above using 3 if you want to double check, but since it's the only answer left, there isn't really a need to.
Hope this helps :)
When you see a "%" you need to ask " a percent of what"?
Here, it's a percent of the original prize, so the discount is 20% of the original prize, that is 20% of 35.
20% is also 20/100 or 1/5, so we can calculate this like this:

so the discount is 7 dollars.
Answer:
Angle Y = 35.69 degrees
Step-by-step explanation:
We can use some simple trigonometry to help us out. Here we know that side 7 is the opposite side relative to angle y, and 12 is the hypotenuse.
We think what trig ratio involves comparing opposite and hypotenuse. Sine is opposite over hypotenuse and we can set up a equation to solve.
Sine (Angle Y) = Opposite Side / Hypotenuse
Sine (Angle Y) = 7/12
(Angle Y) = Sine inverse (7/12)
Angle Y = 35.69
A y-intercept is the value at which x = 0.
(4,0) is not a y-intercept because x = 4.
(-1, 1) is not a y-intercept because x = -1.
(0,0) is a y-intercept because x = 0.
(0, -7) is a y-intercept because x = 0.
(-2, 2) is not a y-intercept because x = -2.
(0, -0.25 is a y-intercept because x = 0.