Answer:
Step-by-step explanation:
There isn't one. The first term is x^4.
The other two are stated in terms of k. There is nothing common here.
You can do 2 of the three. Terms 2 and 3 have a common factor of 4k, so what you can get is
x^4 - 4k(k^2 - 1)
Answer:
C. 4 weeks
Step-by-step explanation:
We have the formula

We are looking for the value of t (number of weeks) when s = 150.
So, we isolate t (well, almost isolate, because it would be hard to read)

If we replace s by 150 we get:

We have 7t = 30.25. If we divide both sides by 7 we get the number of weeks: 4.32... so rounding it down to 4.
Answer:
The expected number of hunters who hit the duck they aim at is 3.6
Step-by-step explanation:
Given;
number of hunters, n = 6
the probability of killing a duck, p = 0.6
The expected number of hunters who hit the duck they aim at?
In binomial distribution, the expected value is equal to the product of the number of trials and the probability of success.
The expected number of hunters who hit the duck they aim at is calculated as follows;
E = np
E = 0.6 x 6
E = 3.6
Therefore, the expected number of hunters who hit the duck they aim at is 3.6
As we did in the previous problem, we need to remove the parenthesis using distributive property so as to be able to combine like terms.
The first paranthesis is positive, so nothing changes as we remove it:
8 j^3 + 9 j^2 + 6 j + 8 - (j^2 + 8)
before removing the second parenthesis, we realize it is preceded by the negative sign of the indicated subtraction. Then as we remove the parenthesis, we flip the signs of all terms inside it:
8 j^3 + 9 j^2 + 6 j + 8 - j^2 - 8
now we combine like terms + 8 and - 8, rendering a zero "0". and we also combine the terms that contain j^2 : 9 j^2 - j^2 = 8 j^2.
Therefore, our final expression becomes:
8 j^3 + 8 j^2 + 6 j