Answer:

Step-by-step explanation:
I am solving this using Function Notation.
We are given:

While we are to find:

In Function Notation, replace all the "
" you see with the value you are given.
So, in this case,

Would become

Now we can solve.

Use PEMDAS; Parenthesis first;

Cross divide: 1 cancels 1, -4 ÷ 2 = -2
Hence, we are left with


Therefore, the value of x is -5
20*0.85
17
17 are action movies
The answer is c. I just did the math it is hard to explain how I did it though. Hopefully this helps you! :)
Answer:

Step-by-step explanation:
Standard equation of a line is y = mx + b, where m is the slope.
Given line y = - 3x + 78, slope, m₁ = -3
<em><u>To find the line perpendicular to the given line.</u></em>
The lines are perpendicular to each other if the product of their slopes = - 1
That is,

So the slope of new line is


So, f[x] = 1/4x^2 - 1/2Ln(x)
<span>thus f'[x] = 1/4*2x - 1/2*(1/x) = x/2 - 1/2x </span>
<span>thus f'[x]^2 = (x^2)/4 - 2*(x/2)*(1/2x) + 1/(4x^2) = (x^2)/4 - 1/2 + 1/(4x^2) </span>
<span>thus f'[x]^2 + 1 = (x^2)/4 + 1/2 + 1/(4x^2) = (x/2 + 1/2x)^2 </span>
<span>thus Sqrt[...] = (x/2 + 1/2x) </span>