Question 1)
Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x
F(G(x)) = 3(2x - 3)^2 + 1
F(G(x)) =3(4x^2 - 12x + 9) + 1
F(G(x)) = 12x^2 - 36x + 27 + 1
F(G(x)) =12x^2 - 36x + 28
Question 2)
Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x
H -1 (x) = x (inverse)
Answer:
v = 28/29
Step-by-step explanation:
- 9 - (18v - 5) = 2(7v - 16) - 3v
- 9 - 18v + 5 = 14v - 32 - 3v
- 18v - 14v + 3v = - 32 - 5 + 9
- 29v = - 28
v = -28 / -29
v = 28/29
Answer:
3/4
Step-by-step explanation:
Fraction of names called last week = 1/4 of a page
Fraction called this week = 1/2 of a page
The number of pages worth of people called ;
This is an addition problem, as the total will be the sum. Of the fractions called this week and last week
Hence,
Total page worth of names called :
(1/4 + 1/2) = (1 + 2) / 4 = 3/4
Answer:
a. 5.26
Step-by-step explanation:
As, the standard deviation of the distribution of the difference between mean is 0.76 so the t score will be simply calculated by dividing the difference of means by standard deviation of the distribution of the difference between mean as hypothesized difference is zero.
t score=Xbar A- Xbar B/Sd of difference of means
t score=55-51/0.76
t score=4/0.76=5.26
