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:
Answer:
3x<u>></u><u>=</u><u> </u><u>21</u>
Step-by-step explanation:
Happy 2 Help. Hope you get a good grade lol
Answer:
1: 130
2: 70
Step-by-step explanation:
Supplementary angles add up to equal 180
So to find the measure of the missing angles, we subtract the measure of the known angles from 180
For #1
∠B = 180 - 50
180 - 50 = 130
Hence ∠B = 130
For#2
∠D = 180 - 110
180 - 110 = 70
Hence, ∠D = 70
Answer:
All you have to do is multiply 5 and 3 by specific gaps in between new numbers then subtract 30. Keep doing that until you get evenly matched numbers.
Step-by-step explanation:
The answer is 15, it would take 15 seconds for Alan to reach Sasha.
