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:
Answer:
No because upon subtracting x on both sides you obtain a false equation of 4=8.
The problem:
What are x values that satisfy:
x+4=x+8?
Step-by-step explanation:
No number can be substituted into x+4=x+8 to make it true.
There is no number that you can find such that when you add 4 to it will give you the same as adding 8 to it.
Also if you subtract x on both sides you obtain the equation 4=8.
4=8 is not true so x+4=x+8 is never true for any x.
Answer:
511 employees
Step-by-step explanation:
Given data
P=690
rate= 2%
time = 13 years
let us apply the simple interest formula
A=P(1-rt)
Note the negative sign (since we are dealing with decrease)
A= 690(1-0.02*13)
A=690(1-0.26)
A=690*0.74
A=510.6
A= 511 approx
Hence the population will reduce to 511 employees
1 1/2 servings are in 3/4 bc 2/4= 1/2 and theres 1/2 a cookie left and if u take half of that it gets to 3/4
