G(x) = 2x + 1
f(x) = x + 2
B wants you to find g of f of x, or, in other words, g(f(x)).
g(x + 2) = 2(x + 2) + 1
g(x + 2) = 2x + 4 + 1
g(f(x)) = 2x + 5
The answer is the first one; it is an arithmetic sequence with a common difference of -40.
Answer:
The bottom is 11
The median is 12
Step-by-step explanation:
The median is the average of the top and bottom
(13+ 2x-3) /2 = 4x-16
Combine like terms
(10+2x)/2 = 4x-16
Divide by 2
5+x = 4x-16
Subtract x from each side
5+x-x = 4x-16-x
5 = 3x-16
Add 16 to each side
5+16 = 3x-16+16
21 = 3x
Divide by 3
21/3 = 3x/3
7 =x
The bottom is 2x-3 = 2*7-3 = 14-3 = 11
The median is 4x-16 = 4*7-16 = 28 -16 = 12
Answer:
24
Step-by-step explanation:
all odd numbers possible: 1, 3, 5, 7
__ __ __ __
there are 4 possibilities for the first blank
for the second blank there are 4-1 = 3 possibilities as one of the numbers will have been used
for the third blank there are 4-2 = 2 possibilities as 2 of the numbers have been used
for the last blank there is only 1 possibility
so the number of solutions possible is 4 x 3 x 2 x 1 = 24
