Answer:
12
Step-by-step explanation:
The number of combinations for 2 shirts 3 pants and 2 shoes can be counted from the tree.
Count the different items at the end of the tree
There are 12 different combinations
Answer: 164 students passed and 41 students failed.
Step-by-step explanation:
Let the number of students be x
x students failed, but 4 times the failed students passed.
So 4x students passed and x students failed.
4x + x = 205
5x = 205
x = 205/5
x = 41
41 times 4 is 164 and 41 times 1 is 41.
So 164 students passed and 41 students failed
Answer:
leg^2 + leg^2 = hypotenuse^2
3^2 + x^2 = 6^2
6^2= 36
3^2 = 9
36 - 9 = 27
sqrt of 27 = 5.196
Rounded = 5.2
Hope this helps
f(x) =5-3x
g(x)=x²-1
f(g(x)) = f(x²-1)
replacing x by x²-1 in the function f(x) , we get
f(x²-1) = 5-3(x²-1) = 5-3x²+3 =8-3x²
f(g(x)) =8-3x²
now finding g(f(x))
g(5-3x)
replacing x by 5-3x in the function g(x)
g(5-3x) = (5-3x)²-1
g(5-3x) = 5²-30x +9x²-1 = 9x²-30x +24
g(f(x))= 9x²-30x +24
f(g(x)) =8-3x²
in option third the f(g(x)) is -3x³+8 which is incorrect