Answer:
It is -3x+24
Step-by-step explanation:
2x-3x is -x or -1x
It can also be simplified further using multiplication.
3(2x-3x+8)
3(-x+8)
-3x+24
Answer:
x
=
1
±
i
√
19
Step-by-step explanation:
x
=
1
±
i
√
19
Answer:
Vertical asymptote: 
Horizontal asymptote:
or x axis.
Step-by-step explanation:
The rational function is given as:

Vertical asymptotes are those values of
for which the function is undefined or the graph moves towards infinity.
For a rational function, the vertical asymptotes can be determined by equating the denominator equal to zero and finding the values of
.
Here, the denominator is 
Setting the denominator equal to zero, we get

Therefore, the vertical asymptote occur at
.
Horizontal asymptotes are the horizontal lines when
tends towards infinity.
For a rational function, if the degree of numerator is less than that of the denominator, then the horizontal asymptote is given as
.
Here, there is no
term in the numerator. So, degree is 0. The degree of the denominator is 3. So, the degree of numerator is less than that of denominator.
Therefore, the horizontal asymptote is at
or x axis.
Answer:

Where k represent the number of wave
and
represent the angular frequency with T the period.
For this case we know tha T = 520 nm
And the angular frequency would be given by:

So then the possible anwer for this case would be:
D.) y= sin pi/260 theta
Since is the only option with satisfy the general equation of a wave.
Step-by-step explanation:
Since the sine function can be used to model light waves we can use the following general expression:

Where k represent the number of wave
and
represent the angular frequency with T the period.
For this case we know tha T = 520 nm
And the angular frequency would be given by:

So then the possible anwer for this case would be:
D.) y= sin pi/260 theta
Since is the only option with satisfy the general equation of a wave.
.16666667 is your answer u have to round up the last number tho