## Consider the function m(t) = startfraction negative 28 over 5 t endfraction. angie states that the additive inverse is p(t) = star

Question

Consider the function m(t) = startfraction negative 28 over 5 t endfraction. angie states that the additive inverse is p(t) = startfraction 28 over 5 t endfraction and the multiplicative inverse is r(t) = startfraction negative 28 over 5 t endfraction . is one (or both) of angieâ€™s conclusions correct? angie is correct about both inverses. angie is correct about neither inverse. angie is correct about the additive inverse only. angie is correct about the multiplicative inverse only.

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4 mins 2023-01-24T14:41:05+00:00 1 Answer 0 views 0

## Answer ( 1 )

1. What you add to a number to make the sum zero is known as additive inverse. Angie is correct about the additive inverse only.

### What is meant by additive inverse?

What you add to a number to make the sum zero is known as additive inverse. It is this value that, when added to the original equation, yields the identity element 0.
Let the given function be m(t) = (-28/5)t
Angie said the additive inverse p(t) = (28/5)t
Since, (-28/5t) + (28/5t) = 0, this is correct

### What is the multiplicative inverse?

It is the value that, when multiplied by the original expression, yields a value of 1.
Angie stated that the multiplicative inverse r(t) = (-28/5)t was incorrect.
This is due to the fact that an expression cannot be a multiplicative inverse of itself. As a result, they cannot be multiplicative inverses of each other.
Therefore, the correct answer is option c) angie is correct about the additive inverse only.
The complete question is:
Consider the function m(t) = startfraction negative 28 over 5 t endfraction. angie states that the additive inverse is p(t) = startfraction 28 over 5 t endfraction and the multiplicative inverse is r(t) = startfraction negative 28 over 5 t endfraction . is one (or both) of angieâ€™s conclusions correct?
a) angie is correct about both inverses.
b) angie is correct about neither inverse.
c) angie is correct about the additive inverse only.
d) angie is correct about the multiplicative inverse only.