Answer:
B. 
Step-by-step explanation:
The given function is

If
is shifted to the left 4 units and the result is
.
Then;

We substitute
into
to find the
.

The correct choice is B.
The other number could be any number that isn't an even number. For instance: 1,3,5,7,9,11,13,15,17... (you get it)
Answer:
The probability is 5/11
Step-by-step explanation:
Let's call V the event that the letter taken at random is a vowel.
Let's call E the event that the man is English and A to the event that the man is American.
If 40 percent of the English-speaking men at the hotel are English means P(E)=0.40 and 60 percent are Americans means P(A)=0.60
In ''color'' we have 2 vowels out of 5 letters so P(V/A)=2/5
In ''colour'' we have 3 vowels out of 6 letters so P(V/E)=3/6=1/2
P(E/V)=P(E∩ V)/P(V)
P(V)=P(V|E)P(E) +P(V|A)P(A)
P(V)=(1/2)0.40+(2/5)0.60=0.44
P(E∩V)=P(V|E)P(E)=(1/2)0.40=0.20
P(E/V)=0.20/0.44=0.45454545=5/11
Answer:
5
Step-by-step explanation:
you divide the number of fans(229) by the number of people the buses can hold(49)
229÷49= ~4.6
because theres a decimal, you would have to add on a extra bus. so the answer would be 5
Answer:
Graph D
Step-by-step explanation:
Move the constant to the opposite side of the equation and group terms that include the same variable.
g(x) + 1 = x^2 + 2x
Finish the square. Remember to keep the equation balanced by using the same constants on both sides.
g(x) + 1 + 1 = x^2 + 2x + 1
g(x) + 2 = x^2 + 2x + 1
Rewrite as perfect squares
g(x) + 2 = (x + 1)^2
Equation in vertex form:
g(x) = (x + 1)^2 - 2
The vertex:
(-1, -2)
* This a minimum *
- <em>(Parabola open upward)</em>