In a class of 30 students, 22 study physics (P) and 19 study chemistry. What is the number of students who study both physics an
1 answer:
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Answer:
(a + 2b)(a - b)
Step-by-step explanation:
Assuming you require the expression to be factored
Given
a² +
ab - b² ← factor out
from each term
= (a² + ab - 2b²) ← factor the quadratic
Consider the factors of the coefficient of the b² term(- 2) which sum to give the coefficient of the ab- term (+ 1)
The factors are + 2 and - 1, since
2 × - 1 = - 2 and 2 - 1 = + 1, thus
a² + ab - 2b² = (a + 2b)(a - b) and
a² +
ab - b² =
(a + 2b)(a - b)
Answer:
They will win 48 games in a 120 game season.
Step-by-step explanation:
The team won 20 games out of 50; that is a 20:50 ratio, that is equal to x:120. x is the amount of games won in the 120 game season.
Set up the ratios like this:
=
cross multiply the numerators and denominators to get this:
20*120 = 50x
solve for x:
2,400 = 50x
x = 48