Answer:

Step-by-step explanation:
So we have the function:

And we want to find the derivative using the limit process.
The definition of a derivative as a limit is:

Therefore, our derivative would be:

First of all, let's factor out a 4 from the numerator and place it in front of our limit:

Place the 4 in front:

Now, let's multiply everything by (√(x+h)(√(x))) to get rid of the fractions in the denominator. Therefore:

Distribute:

Simplify: For the first term on the left, the √(x+h) cancels. For the term on the right, the (√(x)) cancel. Thus:

Now, multiply both sides by the conjugate of the numerator. In other words, multiply by (√x + √(x+h)). Thus:

The numerator will use the difference of two squares. Thus:

Simplify the numerator:

Both the numerator and denominator have a h. Cancel them:

Now, substitute 0 for h. So:

Simplify:

(√x)(√x) is just x. (√x)+(√x) is just 2(√x). Therefore:

Multiply across:

Reduce. Change √x to x^(1/2). So:

Add the exponents:

And we're done!

Answer:
B. 4.5c + 4 = 24
Step-by-step explanation:
T = cx + py is the equation you are given.
T = 24 because it is the total amount of money you can spend.
x = 4.5 because each phone case costs 4.50 dollars
p = 2 because you bought 2 pop sockets.
y = 2 because each pop socket costs 2 dollars.
There is no c because you don't know the number of phone cases you bought.
Now, we have to substitute the values into the equation:
24 = 4.5x + 2(2)
24 = 4.5x + 4
4.5x + 4 = 24 <--- This is your answer
Hope this helps!
Do long division but the answer is 2/7 or 0.2857
F(x) = (-x²+x+20) / (x+4)
-x²+x+20 | x+4
+x²+4x -x+5
\\\\ 5x+20
-5x-20
\\\\\\\\\
f(x) = (x+4)(-x+5) / (x+4)
f(x) = (-x+5)
The graph is a decreasing line, with origin from 5.
17.46% of 126 is 22
Divide 22 by 126:

Change the decimal into a percentage by multiplying the decimal by 100: