Since x - 3 < 0 for -2 < x < 3, |x-3| = -(x-3)
Since x + 2 > 0 for -2 < x < 3, |x+2| = x+2
Since x - 5 < 0 for -2 < x < 3, |x-5| = -(x-5).
So y = -(x-3) + (x+2) -(-(x-5)) = 3 - x + x + 2 + x - 5 = x.
y = x, if -2 < x < 3.
The cubic inches left is 20.05 cubic inches.
<h3 /><h3>Description of the glass </h3>
A glass has the shape of a cylinder. In order to determine which glass is left, the volume of the glass has to be determined. Then what is drank would be subtracted from the volume of the glass.
<h3>
Volume of the cylinder. </h3>
Volume of a cylinder = nr^2h
- n = 22/7
- r = radius= 2.5 / 2 = 1.25
22/7 x 1.25^2 x 5 = 24.55 cubic inches
<h3>Determination of what is left </h3>
24.55 - 4.5 = 20.05 cubic inches
To learn more about to determine the volume of a cylinder, check: brainly.com/question/9624219
Answer:
y = 2/3x + 3
Step-by-step explanation:
y - 5 = 2/3(x - 3)
y - 5 = 2/3x - 2
y = 2/3x - 2 + 5
y = 2/3x + 3
Answer:5r2+2
Step-by-step explanation:
Distribute the Negative Sign:
=4r2−3r+2+−1(−r2−3r)
=4r2+−3r+2+−1(−r2)+−1(−3r)
=4r2+−3r+2+r2+3r
Combine Like Terms:
=4r2+−3r+2+r2+3r
=(4r2+r2)+(−3r+3r)+(2)
=5r2+2