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DedPeter [7]
3 years ago
12

If 0 < x < 1 and 0 < y < 1, which of the following must be true?

Mathematics
1 answer:
katovenus [111]3 years ago
3 0
0<x<1 and 0<y<1

x>0 so x is positive and y>0 so y is also positive.
When you multiply two positive numbers you always get a positive number, so the product of x and y must be positive, or greater than 0.
xy>0 - it must be true
xy<0 - it can't be true
Also when you divide a positive number by a positive number you always get a positive number, so the quotient of x and y must be positive.
x/y<0 - it can't be true
D and E can be true, but don't have to. It depends on the values of x and y. If x>y, then x-y>0 is true and x-y<0 isn't true; if x<y, then x-y>0 isn't true and x-y<0 is true.

Therefore, only A <u>must</u> be true.
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what is the similarity ratio of the smaller to the larger similar cylinders? enter your answer as a:b​
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Solve the separable differential equation dtdx=x2+164 and find the particular solution satisfying the initial condition x(0)=9
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t = \dfrac{x^3}{3} + \dfrac{x}{64} + 9
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