Answer:
3y-x=-18
Step-by-step explanation:
3y-x=-18
3y=x-18
y=1/3x-6
Parallel lines have the same slope
When x=0,
y=-(0-2)^3-5
y=3
When y=0,
(x-2)^3=5
x-2= +/- 5^1/3
x= +/- 5^1/3 +2
x= 3.70997 or x=0.29002
To find the turning point at y, substitute the information that you have found above.
y=-(3.70997-2)^3-5
y=-9.99994
Find the mid-point next as mid-point is also the turning point.
(3.70997+0.29002)÷2=1.999995
Hence, Turning point is (1.999995, 9.99994)
Plot a graph using turning point, y value and the 2-x values.
The volume of the box without the lid is 500 cubic inches.
<h3>What is volume?</h3>
The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim.
Another way to think of volume is as the amount of space a three-dimensional object takes up.
Calculation for the volume of the box-
The volume of a box without a lid is given by the formula v = 4x(10-x)².
Where,
'x' is a length in inches, and
'v' is the volume in cubic inches.
The volume when x = 5 inches.
Substitute the value of 'x' in the formula of volume;
v = 4×5(10-5)²
= 20×5²
v = 500
Therefore, the volume of a box without a lid is 500 cubic inches.
To know more about the volume of a cardboard shoe box, here
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