So let's start by guesstimating the slopes:
the green line has a slope close to -x, but more negative than that, possibly -2; the pink line has a slope close to +x, but higher towards +2.
Next let's look at the solution: the two lines intersect at the point (1, -1).
**you could just simple plug that x (1) into all the equations, but let's rule out answers anyway. ;)
A) is incorrect because the slopes of -1 and +1 are off from out predicted -2 and +2
B) is incorrect because of a similar reason, the slopes of +3 and +1 don't make any sense
C) Ooh, we do have a +2 and -2 for the slopes, and... violà! plug in 1 for the x's and we get -1 for the y in both equations
D) slopes are closer than in A and B, but plugging in 1 doesn't get us -1
So the correct answer is:
C) y = 2x - 3 and y = −2x + 1
Answer:
1 is 136, 2 is 44, annd 4 is 44
Step-by-step explanation:
Answer:
f(x) = |x|, f(x) = [x] + 6
Step-by-step explanation:
Almost all of these are absolute values equations, which means the y doesn't change if x is positive or negative. The first one is the parent form, which is the simplest equation of the absolute equation, so it's symmetric with respect to the y-axis. The second equation is translated 3 units to the left, and the third is translated 31 to the left. The forth is translated 6 up, so it's still symmetric with respect to the y-axis. The fifth is translated 61 units left, and the last one is simply a line, which isn't symmetric.
Answer:
You would need 2 1/2 gallons of paint to finish the room.
Step-by-step explanation:
Step 1: 12 x 8.5
Step 2: you should get 102. Then multiply 102 x 4
Step 3: then divide by 150 (which is the quotent of 75 x 2)
Your finally should be 2.72 :)
Answer:
Step-by-step explanation:
Gemma had 25.75 grams of frosting
Used 15.5 grams
<u>Left over:</u>
- 25.75 - 15.5 = 10.2 grams