Solve the inequalities by graphing. Select the correct graph. y > 2x y < 3
1 answer:
The solution of the first graph is 1, 2 while the second graph is a straight line.
<h3>How to solve for the graph</h3>We have y > 2x
y< x
First you have to replace the inequality by a mathematical operator
y - 2x = 0
y - 3 = 0
equation 1 is of the form
y = mx
The slope here is 2,
to make a graph we need to have x = 1 then the line would pass through
(1,2).
The second equation is simply a second line that would pass through the x axis.
The correct graph is below:
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Answer:
180 fb*lb
45 ft*lb
Step-by-step explanation:
We have that the work is equal to:
W = F * d
but when the force is constant and in this case, it is changing.
therefore it would be:
Where a = 0 and b = 30.
F (x) = 0.4 * x
Therefore, we replace and we would be left with:
We integrate and we have:
W = 0.4 / 2 * x ^ 2
W = 0.2 * (x ^ 2) from 0 to 30, we replace:
W = 0.2 * (30 ^ 2) - 0.2 * (0 ^ 2)
W = 180 ft * lb
Now in the second part it is the same, but the integral would be from 0 to 15.
we replace:
W = 0.2 * (15 ^ 2) - 0.2 * (0 ^ 2)
W = 45 ft * lb
The equivalent expression of is
The expression is given as:
1 minus StartFraction 1 Over x EndFraction divided by 2
Rewrite properly as:
Express the division as product
Evaluate the product
Take the LCM
Hence, the equivalent expression of is
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