Rewrite g(x) as x-1
------
4
and then substitute this result for x in f(x) = x^2 - 3x + 3:
f(g(x)) = (x-1)^2 / 4^2 - 3(x-1)/4 + 3.
At this point we can substitute the value 5 for x:
f(g(5)) = (5-1)^2 / 4^2 - 3(5-1)/4 + 3
= 16/16 - 3(4/4) + 3 = 1 - 3 + 3 = 1
Therefore, f(g(5)) = 1.
Answer:
A. mean 71.33, median 86, mode 90 90 100 100, range 55
B. mean 79.41, median 36.5, mode 90, range 60
c. mean 73.16, median 2, mode 75 75 80 80, range 45
Step-by-step explanation:
mean is the average so add all numbers then divide by the number of number
mode is the number that is often seen
range subtract the smallest from largest or the other way around
median the middle number when lined all number from less to biggest
Answer:
a. 114 minutes
b. 48 minutes
Step-by-step explanation:
Given that
Time spent over the piano is 75 minutes
a. if Priya practice violin for 152% as Han Practiced for piano
So the minutes she practice in Violin is
= 75 minutes × 152%
= 114 minutes
Likewise
b. If Tyler practiced for clarinet for 64% as Han Practiced for piano
So the minutes he practice in Clarinet is
= 75 minutes × 64%
= 48 minutes
The same is to be considered
Answer:
The pair (0,3) is not a solution to the equation
Step-by-step explanation:
This can be proved by simply replacing the x and y variables in the equation by the x and y values of the pair, and checking if the equation renders a true statement:
By replacing x and y with their values in the pair (0,3), that is x=0 and y=3, in the equation y = 5 - 2x we get:
3 = 5 - 2 (0)
3 = 5 - 0
3 = 5
which is NOT a true statement.
On the other hand, the other two pairs (2,1) and (1,3) render true statements:
1 = 5 - 2 (2)
1 = 5 - 4
1 = 1
and
3 = 5 - 2 (1)
3 = 5 - 2
3 = 3
Answer:
B
Step-by-step explanation:
The correct answer is to go 4 units right (the direction is opposite to the sign) and 3 units up. The up and down direction is the same number as after the function.
Red: Parent Function y = ln(x)
Blue: 4 units right. 3 units up.
Answer: B
