The inequality would be 34 > 2 x 3, if I'm correct. I'm not to sure on the graph part though , sorry.
Answer:
Don't quote me on this, but I think that the answer is C.
Answer:
A
Step-by-step explanation:
In the inequality, you want to simplify it to get x on one side, and the numeric values on the other.
So, moving 9 to the other side, you get, 8x<-32
Then, you can divide by 8 on both sides to get x alone.
You get, x<-4.
From this, we can see that it should be an open dot at -4, and pointing to the left.
So, the correct number line is A.
Answer: A
Step-by-step explanation:
The maximum amount of weight the truck can carry is 1600lbs. You do not want to exceed 1600lbs, but you can reach 1600lbs. This makes the inequality symbol ≤. This symbol says that the weight load has to be less than 1600lbs, but It can equal 1600lbs. You know that the piano is 400lbs and each box is 50lbs. Since you want to figure out how many boxes you can put on the truck alongside the piano, you can use the inequality: 50x + 400 ≤ 1600.
50 represents pounds per/box
x represents the number of boxes you can hold
400 represents the weight of the piano
1600 represents the max weight.
Step-by-step explanation:
the midpoint between 2 points (x1, y1) and (x2, y2) is simply ((x1+x2)/2, (y1+y2)/2).
so,
1.
(9, 7) to (4, -3)
midpoint is ((9+4)/2, (7+ -3)/2) = (13/2, 4/2) = (6.5, 2)
2.
(-7, -5) to (2, 1)
midpoint is ((-7+2)/2, (-5+1)/2) = (-5/2, -4/2) = (-2.5, -2)
3.
now we have the midpoint and need the second point.
(4, 2) over (3, 4) to (x, y)
3 = (4 + x)/2
6 = 4 + x
x = 2
4 = (2 + y)/2
8 = 2 + y
y = 6
4.
(-2, 1) over (-3, 2) to (x, y)
-3 = (-2 + x)/2
-6 = -2 + x
x = -4
2 = (1 + y)/2
4 = 1 + y
y = 3
