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IrinaVladis [17]
3 years ago
6

If the converse statement, “If practice is cancelled, then I will be home for dinner” is true, which other statement must also b

e true?
A.) If I will be home for dinner, the practice is cancelled.
B.) If I will not be home for dinner, then practice is cancelled.
C.) If I will be home for dinner, then practice is not cancelled.
D.) If I will not be home for dinner, then practice is not cancelled.
Mathematics
1 answer:
Nataly_w [17]3 years ago
6 0

Answer:

D.) If I will not be home for dinner, then practice is not cancelled.

Step-by-step explanation:

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Select each pair of functions that are inverses of each other
svlad2 [7]

Answer:

The first two choices only: A and B.

Step-by-step explanation:

The inverses are the ones with one relation having point (x,y) and the other relation having point (y,x). This most obvious when looking at points on a table or a list of points.

So the first pair are inverses because per point (x,y) on the first list you have (y,x) on the second list.

Examples:

1st list contains (-5,-9) while second list contains (-9,-5).

1st list contains (3,7) while the second list contains (7,3).

As long as (a,b) is in the first list and (b,a) is in the second or vice versa, then the pair of relations are inverses. So the first choice contains inverses.

Now lets talk about the pair of functions given in function notation.

Let's start with the first.

y=x+7

Extend the first idea more. Just swap x and y and then see after solving for y if what it equals is what g equals then f and g are inverses in the second choice.

x=y+7

Subtract 7 on both sides:

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y=x-7

This is what g equals so the second choice is an answer.

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