1) a.30
3) complementary: 12 and 78
supplementary: 102 and 78
Answer:
1) 102.7 meters
2) 11
Step-by-step explanation:
1) -4.9x² + 75x = -4.9x² + 50x + 38
25x = 38
x = 1.52 s
Height = -4.9(1.52)² + 75(1.52) = 102.67904 m = 102.7 m
2) f(x) = x² + 3x - 2
f(2) = 2² + 3(2) - 2 = 8
f(6) = 6² + 3(6) - 2 = 52
Average rate of change:
(52-8)/(6-2) = 11
Answer:
1. ⇔ b.
2. ⇔ a.
3. ⇔ c.
4. ⇔ e.
5. ⇔ d.
Step-by-step explanation:
We conclude that:
5. asking people on the street Sampling is (d.) Convenience.
4. randomly select two tables in the cafeteria and survey all the people at those two tables is (e.) Cluster.
3. choosing every 5th person on a list is (c.) Systematic.
1. divide the population by age and select 5 people from each age is (b.) Stratified.
2. writing everyones name on a playing card, shuffling the deck, then choosing the top 20 cards is (a.) Simple Random.
Answer:
- g(-x) = 70 +3x
- -g(x) = -70 +3x
- -g(-x) = -70 -3x
Step-by-step explanation:
Put the minus signs where the problem statement tells you. As with any function, the argument replaces the variable in the function definition. That is, for g(-x), you put (-x) where x is in the definition of the function.
g(-x) = 70 -3(-x) = 70 +3x
-g(x) = -(70 -3x) = -70 +3x
-g(-x) = -(70 -3(-x)) = -70 -3x
The different between n and 15 is 5 in an algebraic expression would be n-16=5
the solution would be n=21
