Answer:
1.25
Step-by-step explanation:
type in your calculator:
-1.5+2.75 OR 2.75-1.5
you should get the same answer
<h3>
Answer: B. (3,-2)</h3>
There are two ways to confirm this is the answer. The first is to note that (3,-2) is on the boundary, so it is part of the solution set. This only works if the boundary line is a solid line (as opposed to a dashed or dotted line).
The second way is to plug (x,y) = (3,-2) into the given inequality to find that
![y \le -x+1\\\\-2 \le -3+1\\\\-2 \le -2](https://tex.z-dn.net/?f=y%20%5Cle%20-x%2B1%5C%5C%5C%5C-2%20%5Cle%20-3%2B1%5C%5C%5C%5C-2%20%5Cle%20-2)
which is a true statement. So this confirms that (3,-2) is in the solution set of the inequality.
Answer:
Left 4 units
Step-by-step explanation:
h(x) is a line with slope 2. Let's say it has y-intercept b. So:
h(x) = 2x + b
d(x) is h(x) shifted up 8 units. So:
d(x) = h(x) + 8
d(x) = 2x + b + 8
We want to shift h(x) left or right to get d(x). If we say that shift is a units to the right, then:
h(x−a) = d(x)
2(x−a) + b = 2x + b + 8
2x − 2a + b = 2x + b + 8
-2a = 8
a = -4
a is negative, so the shift is to the left.
h(x) should be shifted to the left 4 units.
About 600
182 + 412
1 + 4
8 + 1
2 + 2
182 + 412 = About 600