Choice D is the correct answer.
For translations, moving to the right 5 units means you add 5 to x, and moving down 2 units means you subtract 2 from y. D is the only choice that accurately represents this.
Hope this helps
Johnathan works part time on weekends at the movie theater while going to school during the week. His paycheck for this pay period was $225.
When he got up to go to school Monday morning his car would not start. His dad had the car towed to the mechanic and had the car repaired. The towing bill and repair bill totaled $225.
How much did Johnathan have left from his paycheck?
$225 + (-$225) = 0
0 is the answer when you add opposites
Solving y+2x < 4x-3 for y would lead to y < 2x-3. You subtract 2x from both sides of the original inequality to get to this result.
To graph y < 2x-3, you first graph y = 2x-3 which is a straight line that goes through (0,-3) and (1,-1). This line is a dashed or dotted line as solutions are not found on the boundary. The shaded region is below the dashed/dotted boundary line to indicate where the solution set is.
To summarize: the graph is a dashed line through (0,-3) and (1,-1) with the shading below the dashed line
The answer is between A and B. It will depend on how those graphs look as to which is the final answer.
If x = # of quarters, then, the # of dimes will be equal to 2x. The total value (z) would be equal to:
z = 0.25x + 0.10(2x)
Then, since you switch the quarters and the dimes, and you have a new total, the resulting equation will be:
1.2 + z = 0.25(2x) + 0.10(x)
Plug in the values you know:
1.2 + (0.25x + 0.10(2x)) = 0.25(2x) + 0.10(x)
Solve for x:
1.2 + (0.25x + 0.20x) = 0.50x + 0.10x
1.2 + 0.45x = 0.60x
1.2 = 0.15x
x = 1.2/0.15 = 8
This means that there are 8 Quarters in her bag right now. So, the amount of dimes is just 2x which is 16. So your answer will be:
She has 8 Quarters and 16 Dimes in her bag right now. Or, $3.60.
If this doesn't make sense, then tell me. I have some resources where I got the answer from to put it into simplest terms. I have the website if you want.
