Answer:
Simplified form of:
is ![\mathbf{-24x^3-10x^2+35x+6}](https://tex.z-dn.net/?f=%5Cmathbf%7B-24x%5E3-10x%5E2%2B35x%2B6%7D)
Step-by-step explanation:
We need to write the simplified answer of: ![(4x^2+x-6)(-6x-1)](https://tex.z-dn.net/?f=%284x%5E2%2Bx-6%29%28-6x-1%29)
We are multiplying both terms.
First -6x is multiplied with
and then -1 is multiplied with ![(4x^2+x-6)](https://tex.z-dn.net/?f=%284x%5E2%2Bx-6%29)
Looking at the table, we now just have to add the like terms to find the result.
![-6x(4x^2+x-6)-1(4x^2+x-6)\\=-24x^3-6x^2+36x-4x^2-x+6\\Now\:combining\:like\:terms:\\=-24x^3-6x^2-4x^2+36x-x+6\\=-24x^3-10x^2+35x+6](https://tex.z-dn.net/?f=-6x%284x%5E2%2Bx-6%29-1%284x%5E2%2Bx-6%29%5C%5C%3D-24x%5E3-6x%5E2%2B36x-4x%5E2-x%2B6%5C%5CNow%5C%3Acombining%5C%3Alike%5C%3Aterms%3A%5C%5C%3D-24x%5E3-6x%5E2-4x%5E2%2B36x-x%2B6%5C%5C%3D-24x%5E3-10x%5E2%2B35x%2B6)
So, simplified form of:
is ![\mathbf{-24x^3-10x^2+35x+6}](https://tex.z-dn.net/?f=%5Cmathbf%7B-24x%5E3-10x%5E2%2B35x%2B6%7D)
Simply multiply 0.7 by 100. 0.7 x 100= 70%. The answer is 70%
If Kolby is reading 108 books per year, and there are 12 months in a year, this means that he is reading 9 books a month. (108/12=9)
As this is over five months, he will be reading 45 books (9*5)
Hope this helps :)
You have to say what each of these costs per pound.
This problem is easier solved by finding the probability that she does NOT do her homework both Monday and Tuesday, which is obtained by the multiplication rule.
P(no HW on Monday) = 1-0.75 = 0.25
P(no HW on Tuesday) = 1-0.75 = 0.25
P(no HW on both Monday and Tuesday) = 0.25*0.25=0.0625
[by the multiplication rule]
This means that the rest of the time (1-0.0625=0.9375) Elsie does her homework either Monday, or Tuesday, or both days.
=>
P(HW either Monday, Tuesday, or both) = 0.9375
(note: in current English, Monday or Tuesday means "either Monday, Tuesday, or both days")