Question

There are two integers that combine to -4, and their product is -45. What are the integers?

a. 5 and 9
b. -5 and 9
c. -5 and 3
d. 5 and -9

Answer 1

The correct integers are 5 and -9, as they add up to -4 and their product is -45. This corresponds to option d.

Step-by-step explanation:

The question asks for two integers that combine to -4 and whose product is -45. Following the signs rule in multiplication, since the product is negative, one number has to be positive and the other must be negative. To find the two integers, let's list down the pairs of factors that can multiply to 45:

• 1 and 45
• 3 and 15
• 5 and 9

The only pair from this list that can combine (subtract) to -4 is 5 and -9. Therefore, when we add these two numbers (5 + (-9)), we get -4. And when we multiply them (5 x (-9)), we get -45. The correct answer is 5 and -9, which is option d.