Answer:
(a) f'(1)=-4
(b) y+4x-4=0
Step-by-step explanation:
<u>Tangent Line of a Function</u>
Given f(x) a real differentiable function in x=a, the slope of the tangent line of the function in x=a is given by f'(x=a). Where f' is the first derivative of f.
We are given

The derivative is

(a) The slope of the tangent line at (1,0) is


(b) The equation of the tangent line can be found with the general formula of the line:

Where m is the slope and the point (xo,yo) belongs to the line. We have m=-4, xo=1, yo=0, thus

Or, equivalently

This is the answer to 67,473 divided by 32. I hoped this helped. I used colors to hopefully help you more.
Answer:
Ava was in charge of clearing a 16 mile ratius along the parks sidewalk, after she finished, she was ordered to get the exact number of feet in each mile, she knew she cleared 84480 feet, how can she find a, the exact number of one mile?
Step-by-step explanation:
Ava had to clear 84480 feet, after she finished she had to find out the exact number of feet in a mile, she knew she had 5280 feet in a mile, so you have to divide 5280 to 84480

<h2>Explanation:</h2>
In this exercise, we have the following equation:

We can write this Quadratic Equation in Standard Form as follows:

So this is a Non-perfect Square Trinomial. To factor out this, let's choose two numbers such that:
- The sum is -14
- The product is 24
Those numbers are:
- -12 and -2
- SUM: -12-2 = -14
- PRODUCT: (-12)(-2)=24
So we can write this as:

<h2>Learn more:</h2>
Quadratic Ffrmua: brainly.com/question/10188317
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