Answer:
Step-by-step explanation:
Given that a storage rack has dimensions as 25x12x5 ft.
Box has dimensions as 15x8x10 inches
Volume of each box = 15(8)(10) = 1200 inches = 1200x12^(-3) feet^3
Volume of 5000 boxes = 5000 (1200x12^(-3) ) = 3472.22 cubic feet
Volume of storage rack = 25(12)(5) = 1500 cubic feet
Volume of 25 storage racks 1500(25) = 37500 cubic feet.
SInce storage racks have sufficient volume it is concluded that enough storage is there.
A system of two linear equations is represented graphically as straight lines.
If the two slopes are equal, and the y-intercepts are equal, then you have a single line.
In this case, there is an infinite number of solutions. The solutions are all the points on the single line.
In the case of this problem, the two lines have different slopes. That is enough for the lines not to be the same line, and also for the lines not to be parallel. These two lines must intersect. The intersection of two different lines is a single point. That point is the solution of the system of equations. Therefore, this system of equations has one single solution. The statement is false.
We conclude that the interval in which the function decreases is (1.5, 3]
<h3>
In which interval is the ball's height decreasing?</h3>
The ball is decreasing when the graph, reading from left to right, is going downwards.
Particularly, in this parabola that opens downwards, the graph will decrease after the vertex.
And we can see that the vertex is at x = 1.5
And we also see that the graph of the function ends at x = 3.
Then we conclude that the interval in which the function decreases is (1.5, 3]
If you want to learn more about parabolas:
brainly.com/question/4061870
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Answer:
Step-by-step explanation:
Multiply by LCM.
Add since denominators are equal.
Expand the brackets.