Answer:
The correct options are:
- g(x) is shifted three units higher than f(x).
- g(x) has a period that is half the period of f(x).
Step-by-step explanation:
We have to compare the graphs of the function:

and 
We have to select the correct options among the following:
As we know that the period of sine function is 2π.
i.e. Period of function f(x) is: 2π.
The period of sin(2 x) is π.
Hence, the period of the function g(x) function is π.
- Hence, the period of g(x) is half the period of f(x).
- Also we could observe that g(x) is shifted 3 units upward.
Answer:
<em>4 + 7x – 2</em>
Step-by-step explanation:
<u>Equivalent Expressions</u>
Let's find out which expressions are equivalent by simplifying them. One of the expressions should be not equivalent to the other three.
Simplifying

Now for the second expression

The third expression simplifies to

Finally, this is the simplification for the expression

As seen, the only expression not equivalent to the other three is 4 + 7x – 2
to average 60 mph for 2 laps his total speed needs to equal 60 x 2 = 120
his first lap was 40 so his 2nd lap needs to be 120-40 = 80 mph
Answer:
there is not a complete question here ...
is not in a denominator to rationalize
if it were you would multiply the rational expression (the fraction)
by
the result (in the denominator would end up being "2 -1"
which is 1
Step-by-step explanation:
Answer:
9/2
Step-by-step explanation:
perpendicular lines have slopes that are opposite and reciprocal
the reciprocal of -2/9 is 9/2