Rule: if you have graph of function y=f(x) and a>0, then:
1. y=f(x-a) is translation a units right;
2. y=f(x+a) is translation a units left;
3. y=f(x)-a is translation a units down;
4. y=f(x)+a is translation a units up;
Since g(x)=f(x+2)-5, then firstly you have to translate the graph of function y=f(x) two units left and secondly 5 units down.
Answer:
4 and 6.
Step-by-step explanation:
There are 4 different grades represented, so for the first question, there are 4 ways that the students can sit if they must sit together by grade.
For the second question, there are 3 grades other than senior level, so it starts with 3 ways that the students can be seated. 3 ways x 2 students per way = 6 ways
Answer:
attached below
Step-by-step explanation:
Attached below are the Venn diagrams
A : 48 < X < 52 cm
B : 9 < Y < 11 cm
a) A
b) A ∩ B
c) A' ∪ B
d) A ∪ B
e) for events to be mutually exclusive it means that both events can not occur simultaneously i.e. A ∩ B = 0
the process would not be successful hence the process would not produce parts with X = 50 cm and Y = 10 cm
Line r is twice line m. i.e. r = 2s which means that they are linearly dependent.
Therefore there are infinitely many solution to the given set of equations.
So we have v(w) = 2w - 1
Now we make the following change: w ---> w +3.
So we change every "w" into a "w+3" as follows:
v(w) = 2w - 1 --------> v(w+3) = 2*(w+3) - 1
Let's solve this.
2*(w+3) - 1
2*w + 2*3 - 1
2w + 6 - 1
2w + 5
So
v(w+3) = 2w + 5
