We are given with the equation <span>f(x) = ax3 + bx2 + cx + d
Substituting, (3,11)
</span><span>11= 27a + 9b + 3c + d
</span><span>@(5, 9)
</span><span>9 = 125 a + 25 b + 5c + d
@</span><span>(4, 10)
</span><span>10 = 64 a + 16 b + 4c + d
@inflection point, second derivative is equal to zero
</span><span>f'(x) = 3ax2 + 2bx + c
</span>f''(x) = 6ax + 2b = 0
when x is 4, 24 a + 2b = 0 or 12a + b = 0.
There are 4 equations, 4 unknowns: answer is
<span>0.5 x^3 - 6x^2 + 22.5 - 24 = 0</span>
Answer:
(6, 5)
Step-by-step explanation:
-3 + 9 = 6
15 - 10 = 5
Answer:
C 5/7
Step-by-step explanation:
We can find the slope of a line using
m = (y2-y1)/(x2-x1)
= (-5 - -10) /(-2 - -9)
= (-5 +10)/(-2+9)
5/7
Answer: 4=G 5=A
Step-by-step explanation:
4: since he has only 1 dime 2 nickels and 1 quarter he cant pull out 2 dimes since he doesn't have them, meaning G is not possible.
5: To solve you have to multiply 2 1/2 and 3 1/4, one way is by creating improper fractions and multiply that way. So you will get 5/2 x 13/4 which will give you 65/8. Simply to get 8 and 1/8
Answer: The mean for the probability distribution will be 69.25.
Explanation:
Since we given that





As we know the formula for expectation of x i.e. known as mean for the probability distribution,

So, we apply this formula in our case,


Hence, the mean for the probability distribution will be 69.25.