Answer:
x = -6 and x = 4
Step-by-step explanation:
In math, the critical points of a function are the points where the derivative equals zero.
So, first we will find the derivative of the function. The derivative is:

Now, we are going to make the derivative equal zero and find the answers of the equation.

So we have that the critical points are the answers to this equation:

and

Thus, the critical points are x=-6 and x=4
Answer:
He should expect to select 75 yellow cards.
Step-by-step explanation:
Since there is replacement, for each trial, we have:
1 yellow card
1 red card
1 blue card
1 green card.
If Greg does this 300 times, how many yellow cards should he expect to select?
Each trial, there are 4 cards, one of which is yellow. So 1/4 = 0.25 probability of selecting a yellow card.
Over 300 trials
0.25*300 = 75
He should expect to select 75 yellow cards.
Answer:
g = 6
Step-by-step explanation:
<em>To find the slope you do:</em>
m = change in y ÷ change in x or (y2 - y1) ÷ (x2 - x1)
- x1 = 4, y1 = -7
- x2 = g, y2 = -3
- m (the slope) = 2
<em>Sub in the values:</em>
2 = (-3 - -7) ÷ (g - 4) - we can simplify this
2 = (4) ÷ (g - 4)
4 divided by what gives us 2? 2. This means that g - 4 = 2, g = 2 + 4 which is 6:
g = 6
Hope this helps!
Answer:
Step-by-step explanation:
For the equation y = x - 3x + 4x + 5, tind the point of inflection. ... Find the indicated derivative using the definition f(x) = 2x4+3x3-2x+7: f'(0).