Answer:
x < 3
Step-by-step explanation:
5x+7x<36
12x<36
Divide both sides by 12
x<3
Explanation
We must the tangent line at x = 3 of the function:

The tangent line is given by:

Where:
• m is the slope of the tangent line of f(x) at x = h,
,
• k = f(h) is the value of the function at x = h.
In this case, we have h = 3.
1) First, we compute the derivative of f(x):

2) By evaluating the result of f'(x) at x = h = 3, we get:

3) The value of k is:

4) Replacing the values of m, h and k in the general equation of the tangent line, we get:

Plotting the function f(x) and the tangent line we verify that our result is correct:
Answer
The equation of the tangent line to f(x) and x = 3 is:
1 centimeter = 10 milimeters.
Therefore, 8.5 centimeters squared = 85 millimeters squared.
Answer:
Step-by-step explanation:
We see f(x) increase is linear and is 6 at each step, so m = 6 and y-intercept is b = -5, from point (0, -5)
<u>So the function is:</u>