$\bf r(x)=\cfrac{3x-2}{2x+5}\implies \cfrac{dr}{dx}=\stackrel{quotient~rule}{\cfrac{3(2x+5)~~-~~(3x-2)2}{(2x+5)^2}}
\\\\\\
\cfrac{dr}{dx}=\cfrac{\underline{6x}+15\underline{-6x}+4}{(2x+5)^2}\implies \cfrac{dr}{dx}=\cfrac{19}{(2x+5)^2}$

7 0

3 years ago

A supplies box contains 3 red crayons, 2 green crayons, and 6 blue crayons. If we choose a crayon, then another crayon without p

wel

Answer: 3/11 & 6/10

Step-by-Step explanation:

there are 11 crayons, 3 of which are red so the chance of picking a red one is 3 out of 11. now that you have taken out a crayon you take the original number and take away 1

11 - 1 = 10

so the chance of taking a blue canyon out is 6/10.

these events are dependent because if you didn't take the first crayon out of the supply box the answer would be 6/11 instead of the 6/10 we have

4 0

3 years ago