Answer:
1 9/10
Step-by-step explanation:
I was first make me brainliest. :)
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:
x = 1, y = -2, z = 3.
Step-by-step explanation:
x + 2y + 2z = 3 A
2x -2y - z = 3 B
x - 2z = -5 C
If we add equations A and B we eliminate y:
3x + z = 6 E
Multiply E by 2 :
6x + 2z = 12 F
Adding C and F we get:
7x = 7
x = 1.
Plug this into equaton C:
1 - 2z = -5
-2z = -5 - 1 = -6
z = 3.
Now plugging x = 1 and z = 3 in equation A:
1 + 2y + 2(3) = 3
2y = 3 - 1 - 6 = -4
y = -2.
Answer:
(f+g)(x) = 7x -1 (Answer C)
Step-by-step explanation:
Rewrite these two functions, one above the other, for ease in adding:
f(x) = 5x - 2
+g(x) =2x + 1
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(f+g)(x) = 7x -1