Answer:
A) 
B) 
C) 
Step-by-step explanation:
So we have the equation:
Let's write this in function notation. Thus:
A)
To flip a function over the x-axis, multiply the function by -1. Thus:
Simplify:
B) To flip a function over the y-axis, change the variable x to -x. Thus:
Simplify:
C) A reflection over the line y=x is synonymous with finding the inverse of the function.
To find the inverse, switch x and f(x) and solve for f(x):
Switch:
Subtract 4 from both sides:
Divide both sides by 5:
And we're done :)
Answer:
1. $20280
2. 117 h
Step-by-step explanation:
1.
to know the value of the car we have to add all the monthly payments with the $ 3000 that she paid at the beginning
x = car value
x = $3000 + 48 * $360
x = $3000 + $17280
x = $20280
The total cost of the car is $20280
2.
To know how many hours I work in total we have to add the hours I work in each day 5 times with the 57 hours I work the following week
x = hours that work in all
x = 5 * 12 + 57
x = 60 + 57
x = 117
work for 117 hours in all
From trigonometry we know that:
if 
then, 
(where 
is an integer)
This can be rewritten in degrees as:
.............(Equation 1)
Now, in our case, 
Therefore, (Equation 1) can be written as:
..........(Equation 2)
Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of 
that match.
For n=2, (Equation 2) gives us: 
.
Thus, 
Now, we know that: 
Let n=-1, then:
Thus, 
Likewise, 
Only the last option 
will never match 
because no integral value of will ever give 
Thus the last option is the correct option.
There are no graphs available.
It’s actually true!
^ ^ ^ ^
<—|——|——|——|——|—>
-2 -1 0 1 2
The 4 arrows above the number line represents the distance between 2 and -2 which is 4!
