Simplifying
6k + -9 = -15
Reorder the terms:
-9 + 6k = -15
Solving
-9 + 6k = -15
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 6k = -15 + 9
Combine like terms: -9 + 9 = 0
0 + 6k = -15 + 9
6k = -15 + 9
Combine like terms: -15 + 9 = -6
6k = -6
Divide each side by '6'.
k = -1
Volume of a sphere: V=(4/3)πr³
V1=(4/3)π10³
V2=(4/3)π5³
difference: (4/3)π10³-(4/3)π5³=(4/3)π875=3665
the answer is B.<span />
Answer:
factor x2 +7x+12 using the AC method (x+3) (x+4)
Step-by-step explanation:
Answer:
6x-5
Step-by-step explanation:
We have to find 2 sides added together, so we do (24x-20)/2=12x-10. (12x-10)/2=6x-5, so it is 6x-5.
Yes choice B) 1/5 is correct. You are using the correct formula and steps. Nice work.
Here's another way to look at it:
When you visually plot the inverse, you reflect everything over the line y = x. What happens is that every (x,y) point swaps coordinates. So if (1,2) is on g(x), then (2,1) is on the inverse, and vice versa. Swapping the x and y values will swap the nature of the tangent slope.
For any tangent on g(x), its slope is m = (dy)/(dx)
The corresponding slope on the inverse will be n = (dx)/(dy). All that's happened here is that the numerator and denominator flipped. Again because x and y have swapped places. If you wanted, you can picture the xy axis where the vertical axis is the x axis and the horizontal axis is the y axis. That's effectively what is going on here.
So before you found that g'(1) = 5 meaning that m = 5/1 on g(x) at the point (1,2)
So n = 1/m = 1/5 for the point (2,1) on the inverse g function.