Mathematics, 29.09.2019 04:10 mlandon922
Criticize the following proof by induction of the proposition, "happy families are all alike." consider a set consisting of one happy family. obvi- ously all its elements are the same. suppose it has been shown that for any set of n happy families, say {}, we have fi f2 ==fn. con- sider a set {f1. n+1} of n+1 happy families. then {f1.) is a set of n happy families, so f1 = f2 = = fn. similarly, {f2, f3, fn+1} is a set of n happy families, so fn+1 = = f2. thus fr+1 = fi also, and the set of n + 1 happy families are all alike. by the principle of induction, we see that for any finite set of happy families, they are all alike. since the set of all happy families is finite, we conclude: happy families are all alike.
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Mathematics, 21.06.2019 15:30
State whether weight is a function of height for the six students and explain. a. yes, height is a function of weight because two students weigh 165 pounds but have different heights. b. no, height is not a function of weight because two students weigh 165 pounds but have different heights. c. yes, weight is a function of height because for each value of height there is one corresponding value of weight. d. no, weight is not a function of height because there is not enough data to determine a function.
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Mathematics, 21.06.2019 21:30
A(1,1) b(-3,0) c(-4,-1) d(3,-2) drag it to correct position
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Mathematics, 21.06.2019 21:30
X/y + 4y/x divided by x/y - 2y/x explain as in depth as you can how you simplfied the fractions. i don't know where to start on this : /
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Criticize the following proof by induction of the proposition, "happy families are all alike." consi...
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