Answer:
64
Step-by-step explanation:
2 x 2=4
4x 2= 8
8 x 2= 16
16 x 2=32
32 x 2= 64
Slot method
1st slot, 5 options
2nd slot, 4 options (1 gone to the first slot)
3rd slot, 3 options (1 gone again)
4th slot,2 options (1 less)
multiply
5*4*3*2=120
answer is 120 arrangements
Solution:
Given that, 6 identical toys weigh 1.8 kg
we know that, 1kilogram = 1000 grams
6 identical toys weigh in grams
6 identical toys weigh 1800 grams
then calculating the weight of 1 toy by unitary method ,
weight of 1 toy =
grams.
Hence, 1 toy would weigh 300 grams.
Answer:
1) 25
2) 2
3) f(g(1)) = 42
Step-by-step explanation:
1) Given that f(x) = 4x^2 + 9
If x = -2
f(-2) = 4(-2)^2 + 9
f(-2) = 4(4) + 9
f(-2) = 16 + 9
f(-2) = 25
2) Given that f(x) = 4x - 6
y = 4x - 6
Replace y with x
x = 4y - 6
MAke y the subject of the forfmula
4y = x+ 6
y = (x+6)/4
SInce x = 2
f^(-1)(2) = (2+6)/4
f^(-1)(2) = 8/4 = 2
3) If f(x) = 6x and g(x) = x+6
f(g(x)) = f(x+6)
f(x+6) = 6(x+6)
Since x = 1
f(g(1)) = 6(1+6)
f(g(1)) = 6(7)
f(g(1)) = 42
Answer:
(-3,-1)
Step-by-step explanation:
go back 3 for x
and down 1 for y