Answer:
J < T - 5
Step-by-step explanation:
T = The number of juice boxes Thomas had
J = The number of juice boxes Thomas gave to his sisters
Thomas had 12 juice boxes
T = 12
He gave some to his sisters he now has more than 5 left.
T - J > 5
-J > 5 - T
J < -5 + T
J < T - 5
Answer:
90 minutes
Step-by-step explanation:
See attachment for graph.
First, we need to determine the slope.
When y = 900, x = 0
When y = 600, x = 30
The slope is then calculated as:
m = (y2 - y1)/(x2 - x1)
m = (600 - 900)/(30 - 0)
m = -300/30
m = -10
Next, we determine the equation of the line using
y - y1 = m(x - x1)
So, we have:
y - 900 = -10(x - 0)
y - 900 = -10x
y = 900 - 10x
When the container is empty, y = 0.
So, we have:
0 = 900 - 10x
Collect Like Terms
10x = 900
Solve for x
x = 900/10
x = 90
Answer:
1,4,5,7,9
Step-by-step explanation:
1
Answer:
0
Step-by-step explanation:
Try looking at it in 2 ways- left side and right side. On the left side we have -4*5, which equals -20. On the right we have -4-20, which equals -24. so then when we add it all together (not literally) we get -20=-24. Since -20 and -24 obviously do not equal eachother, there is no solution.
Step-by-step explanation:
Erase the dot points you already have. We are supposed to substitute those values in the right side of problem 1 into the function as x.
For example if x=-4
![- ( - 4) + 5 = 9](https://tex.z-dn.net/?f=%20-%20%28%20-%204%29%20%2B%205%20%3D%209)
If x=-2
![- ( - 2) + 5 = 7](https://tex.z-dn.net/?f=%20%20-%20%28%20-%202%29%20%2B%205%20%3D%207)
If x=0
![0 + 5 = 5](https://tex.z-dn.net/?f=0%20%2B%205%20%3D%205)
![- 2 + 5 = 3](https://tex.z-dn.net/?f=%20-%202%20%2B%205%20%3D%20%203)
![- 4 + 5 = 1](https://tex.z-dn.net/?f=%20%20-%204%20%2B%205%20%3D%201)
So our point should be
-4,9
-2,7
0,5
-2,3
-4,1.
The range is all possible y values in a function. Since this is discrete and we are given the domain, our range will just be the y value of the points you graphed.
(9,7,5,3,1)