Answer:
(f∘f)(x) = x⁴ -12x² +30
(g∘g)(x) = x/9
Step-by-step explanation:
a) (f∘f)(x) = f(f(x)) = f(x² -6)
... = (x² -6)² -6
... = x⁴ -12x² +36 -6
... (f∘f)(x) = x⁴ -12x² +30
b) (g∘g)(x) = g(g(x)) = g(x/3)
... = (x/3)/3
... (g∘g)(x) = x/9
Answer:
12 and 18
Step-by-step explanation:
sum the parts of the ratio, 2 + 3 = 5
30 ÷ 5 = 6 ← value of 1 part of the ratio
2 parts = 2 × 6 = 12
3 parts = 3 × 6 = 18
The numbers are 12 and 18
Answer:
This is an equal proportion
Step-by-step explanation:
Answer:
i. Girls : 10 merits
ii. Boys : 11.4 merits
iii. The boys did better on average because the number of their mean merits received is higher than that girls.
Step-by-step explanation:
Mean = 
Sum of merits received by boys = 5 + 10 + 19 + 22 + 13 + 10 + 1
= 80
number of merits = 7
Mean number of merits received by boys = 
= 11.4286
The mean number of merits received by boys is 11.4
Sum of merits received by girls = 6 + 11 + 15 + 16 + 12 + 10 + 0
= 70
number of merits = 7
Mean number of merits received by girls = 
= 10.0
The mean number of merits received by girls is 10.0
Therefore,
i. Girls : 10 merits
ii. Boys : 11.4 merits
iii. The boys did better on average because their mean merits is higher than that girls.
Answer:
−
3
5
+
6
Step-by-step explanation:
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