Which two numbers on the number line has an absolute value of 2.75?
2 answers:
Answer:
The location on number line is shown in figure 1:
Step-by-step explanation:
Consider the provided information.
We need to find two numbers on the number line has an absolute value of 2.75
The absolute value is the distance between 0 and the provided number with out considering the sign of number.
It denoted by mode |x|, where x is any number.
Now to find the two numbers on the number line has an absolute value of 2.75, move 2.75 unit right and left to the zero.
If we move 2.75 unit right and left to the zero that will gives us the distance between 0 and 2.75.
Thus, the location of the number which are -2.75 and 2.75
It can also represents as |2.75|
The location on number line is shown in figure 1:
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Answer:
Height: 3/2 inches
Length: 12 inches
Width: 4 inches
Step-by-step explanation:
Let x is the side length of the square
The height of the box by cutting squares off :x
- The new length of the cardboard = 15 -2x (because we cut from 4 corners)
- The new width of the cardboard = 7 -2x (because we cut from 4 corners)
The new volume of it is:
V = (15 -2x) (7 -2x) x
<=> V =
To maximum volume, we use the first derivative of the volume
<=>
<=>
<=> 2x -3 = 0 or 6x -35 = 0
<=> x = 3/2 or x = 35/6
To determine which value of x gives a maximum, we evaluate
= 24x -88
- If x = 3/2, we have:
= 24(3/2) -88 = -52
- If x = 35/6, we have:
= 24(35/6) -88 = 52
We choose x = 3/2 to have the maximum volume because the value of x that gives a negative value is maximum.
So the dimensions (in inches) of the box is:
Height: 3/2 inches
Length: 15-2(3/2) = 12 inches
Width: 7 - 2(3/2) = 4 inches