Answer:
-p²q² + 9p² + 4q² + 24pq - 36
General Formulas and Concepts:
<u>Algebra I</u>
- Expanding by FOIL-ing (First Outside Inside Last)
- Combining Like Terms
Step-by-step explanation:
<u>Step 1: Define expression</u>
(p² - 4)(9 - q²) + 24pq
<u>Step 2: Simplify</u>
- Expand by FOIL-ing: 9p² - p²q² - 36 + 4q² + 24pq
- Combine like terms: -p²q² + 9p² + 4q² + 24pq - 36
Answer: Integers and Rational Numbers
Explanation: -2 is an integer because integers include positive an negative numbers. It would not be a whole number or a Naural number because both of those sets only include positive numbers. Here’s a better explanation:
Natural numbers: Natural Numbers are like (1,2,3....). They only include positive numbers. Therefore, -2 does not belong in this category.
Whole Numbers: Whole Numbers are like (0,1,2,3....). They include all the natural numbers with 0. Therefore, -2 does not belong in this set.
Integers: Integers include both positive and negative numbers. They are like (-3,-2,-1,0,1,2,3....). Since they both have positive and negative numbers, -2 would belong in this set.
Rational Numbers: Rational Numbers include ALL the sets that were described. (Natural, Whole, Integer). Since this set also includes positive and negative numbers, -2 would belong in this set.
So, -2 belongs in Integers and Rational Numbers
Hope this helps!
A and B are the answers.
If you need proof, just ask in the comments, and I’ll get back to you.
I hope this helps!
Answer
As a mixed number = 5 7/12
As a improper fraction = 67/12
Step-by-step explanation:
I added 2 1/3 and 3 1/4 together and got 5 7/12 but if u turn the 2 1/3 and 3 1/4 into improper fractions u get 67/12
Yes because when you subtract a number, you can also say that you added a negative. So if it dropped 23 degrees, then you also added -23 degrees