Answer:
4b^4 + 6b^3 + 13b^2 + 10b -1
Step-by-step explanation:
4b^4 + 12b^3 + 5b^2 + 6 - (6b^3 – 8b^2 – 10b + 7)
= 4b^4 + 12b^3 + 5b^2 + 6 - 6b^3 + 8b^2 + 10b - 7
= 4b^4 + ( 12b^3 - 6b^3) + (5b^2 + 8b^2) + 10b + (6 - 7)
= 4b^4 + 6b^3 + 13b^2 + 10b -1
so f(-14)=3*(-14)-7
f(-14)=-42-7
f(-14)=-49
therefore (f o g)(4)=-49
The equation of the directrix is y = -5
<h3>How to determine the directrix equation?</h3>
The equation is given as:
(x -1)^2 = 12(y + 2)
Express 12 as a product of 4 and 3
(x -1)^2 = 4 * 3(y + 2)
The parabola is represented as:
(x -h)^2 = 4p(y - k)
Where the directrix is
y = k - p
By comparison, we have:
k = -2 and p = 3
So, we have:
y = -2 - 3
Evaluate
y = -5
Hence, the equation of the directrix is y = -5
Read more about directrix at:
brainly.com/question/2131669
#SPJ1
Answer:
c) Poisson distribution.
Step-by-step explanation:
The Poisson distribution is a distribution that we can use when we need to know <u>how many times an specific event takes place in a fixed amount of time or space. </u>
In this case, the manufacturer is interested in the number of flaws that occur in a fixed amount of material (in this case 100 feet), therefore, the most adequate probability distribution that he should apply to this situation would be the Poisson distribution.