Answer:
(7x - 8)(2x² + 3)
Step-by-step explanation:
Given
14x³ - 16x² + 21x - 24 ( factor the first/second and third/fourth terms )
= 2x²(7x - 8) + 3(7x - 8) ← factor out (7x - 8) from each term
= (7x - 8)(2x² + 3)
Answer:
P(-2,8) Q(-8,8) R(-8,2) S(-2,2)
Step-by-step explanation: 180 degree rotation rule = (x,y) ---- (-x,-y)
ex : point B (-2, 7) will be B' (2, -7)
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Hope I helped! :)
Answer: 11113200
Step-by-step explanation:
We know that , the number of combination of choosing r things from n things is given by :-

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-
Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-
Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-


∴ The number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors = 11113200
The answer is II and III, which is the last choice from above. This is because the symbol "less than (or equal to)" indicated a conjunction, which means we have to take into account that the absolute value can be less than or equal to 15, and greater than or equal to -15. This solution set falls in between the two values, hence, the conjunction.