How do you graph the inequality of 4x-2y≤6 ?
1 answer:
4x - 2y ≤ 6 <em>subtract 4x from both sides</em>
-2y ≤ -4x + 6 <em>change the signs</em>
2y ≥ 4x - 6 <em>divide both sides by 2</em>
<h3>y ≥ 2x - 3</h3>y = 2x - 3 - it's a linear function. We need only two points to plot the graph.
Choose any two values of x and calculate the values of y:
for x = 0 → y = 2(0) - 3 = 0 - 3 = -3 → (0, -3)
for x = 2 → y = 2(2) - 3 = 4 - 3 = 1 → (2, 1)
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<, > - dotted line
≤, ≥ - solid line
<, ≤ - shaded to left
>, ≥ - shaded to right
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Answer:
the volume of the pipe is 649.98 cubic inches.
Step-by-step explanation:
We have been given that a collar of Styrofoam is made to insulate a pipe. We are asked to find the volume of the given pipe.
We will use volume of hollow cylinder formula to solve our given problem.
where,
R = Radius of external cylinder,
r = Radius of internal cylinder.
h = Height of cylinder.
substituting our given values in above formula, we will get:
Therefore, the volume of the pipe is 649.98 cubic inches.