Which answer represents the following conditional statement in shorthand? If it is not a fruit, then it is not an apple

The shorthand that represent the contrapositive statement is  ~F → ~A

Step-by-step explanation:

The parameters given are;

If it is not a fruit, then it is not an apple

The above is a logic statement which can be rewritten as a conditional statement as follows;

If something is an apple then it is a fruit

Which gives

If p then q

Where:

A = Apple

F = Fruit

Therefore, when we write;

If something is not a fruit, then it is not an apple

We have

~F → ~A

Which is a contrapositive conditional statement

The shorthand that represent the contrapositive statement is therefore, ~F → ~A.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.