Answer: Choice B) The expression (10-2x)(30-2x)x represents the volume of the box
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The original width is 10 inches. The width reduces to 10-2x inches after we cut off the top two corners of the rectangle. We can think of it as taking 10 and subtracting off two copies of x like so: 10-x-x = 10-2x
Similarly, the length goes from 30 inches to 30-2x inches. This time we're taking off the top and bottom corners (focus on either side it doesn't matter).
The height of the box is x inches due to this portion being folded up.
Volume of box = (width)*(length)*(height)
Volume of box = (10-2x)(30-2x)x
Note: the units for the answer are in cubic inches which can be written as "in^3" (inches cubed).
Answer:
At 1:25 P.M.
Step-by-step explanation:
Thomas arrived at the library at 11:45 AM and he left 1 hour 40 minutes later.
So, 1 hour 40 minutes is equivalent to (60 + 40) = 100 minutes.
Now, after 15 minutes, the time will be 12 P.M.
So, remaining (100 - 15) = 85 minutes i.e. 1 hour and 25 minutes the time will be 1:25 P.M.
Therefore, Thomas leaves the library at 1:25 P.M. (Answer)
Answer:
Step-by-step explanation:
Given that,
A line goes through the point (-8,9), and has a slope of 3/4.
We need to express in the form of Ax+B for this line.
We have, m = 3/4
So,
Put y = 9 and x = -8 in the above equation.
So,
It is the required equation of the line.
Answer:
Step-by-step explanation:
K (-5, 1)
L (0, 1)
M (0, 3)
N (-5, 3)
<span>h(x)=<span>6<span>x−4</span></span></span> or <span>h(x)=6x−4</span>
<span>If the former, the domain is all real numbers, often denoted by the symbol </span>R<span>. </span>
<span>the range is </span><span>(0,∞)</span>
<span>asymptote is y = 0</span>