Hi there!

f(x) = 2x + 6
Differentiating 2x = 2 (Power rule, dy/dx xⁿ = nxⁿ⁻¹)
Differentiating a constant always equals 0.
Thus:
f'(x) = 2
Answer:
x = -5
Step-by-step explanation:
The equation y = x^2+10x+25 can be factored to (x+5)^2
when (x+5)^2 = 0
x = -5
meaning the equation has a line of symmetry at x = -5
Its an absurd decimal, which I'm pretty sure you don't want but will give to you anyway. Its roughly 0.02631578947...
Answer:

Step-by-step explanation:
step 1
Find the slope
The formula to calculate the slope between two points is equal to

take two points from the data
(0,8), and (8,-24).
substitute



step 2
Find the equation of he line in slope intercept form

we have

----> the y-intercept is given
substitute

Find mean, median and mode of 140, 130, 90, 80, 60, 50, 30, 20, 10, 0
Alecsey [184]
For the mean you would have to add up all the numbers up and divide by the amount of numbers. For your problem you would get 610/10= 61.
For the median you would arrange all the numbers in order from least to greatest and cancel one from the left and one from the right each time. Since there is no middle number, the closest would be 50 and 60. Thus you you add 50+60 and get 110 and then divide by 2 giving you 55.
For the mode, there is no mode because none of the numbers repeat more than once.
I hope this clarifies your doubt. :)