Answer:
Let p(x) = x3 + ax2 + bx +6
(x-2) is a factor of the polynomial x3 + ax2 + b x +6
p(2) = 0
p(2) = 23 + a.22 + b.2 +6 =8+4a+2b+6 =14+ 4a+ 2b = 0
7 +2 a +b = 0
b = - 7 -2a -(i)
x3 + ax2 + bx +6 when divided by (x-3) leaves remainder 3.
p(3) = 3
p(3) = 33 + a.32 + b.3 +6= 27+9a +3b +6 =33+9a+3b = 3
11+3a +b =1 => 3a+b =-10 => b= -10-3a -(ii)
Equating the value of b from (ii) and (i) , we have
(- 7 -2a) = (-10 - 3a)
a = -3
Substituting a = -3 in (i), we get
b = - 7 -2(-3) = -7 + 6 = -1
Thus the values of a and b are -3 and -1 respectively.
Step-by-step explanation:
Let us assume the number of movies for ehich the cost of both companies becomes the same = x
Then
55 + 4x = 110
4x = 110 - 55
4x = 55
x = 55/4
= 13.75
So
The number <span>number of movies for which the cost of Carl's cable company is less than the cost of Teleview = 13.
I hope the procedure is clear enough for you to understand and this is the answer that you were actually looking for.</span>
Answer:
i believe it would be 6 1/2 simplified or 6 2/4 unsimplified
Step-by-step explanation:
This is a well known joke:
Why six afraid of seven? Because seven ate nine!
It is supposed to be a "word game" where instead of writing eight, the authour wrote ate, which sound the same but means something different.
Hope it helped,
Happy homework/ study/ exam!
