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: choice D 1/2
Step-by-step explanation:
Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true.
so
1/6=1/3*p(A)
p(A)=1/2
The value of the car after 11 years is $3137.18
<h3>
exponential function</h3>
An exponential function is in the form:
y = abˣ
where a is the initial value of y, b is the factor, y, x are variables.
Let y represent the value of the car in dollars after x years. From the table:
When x = 0, y = 12700, hence:
When x = 2, y = 9849, hence:
The exponential function is:
y = 12700(0.8806)ˣ
For 11 years:
y = 12700(0.8806)¹¹ = 3137.18
The value of the car after 11 years is $3137.18
Find out more on exponential function at: brainly.com/question/12940982
The answer would be right triangle. Hope that helps! :3
Oh and you spelled which wrong.
Answer:
m = -5.3
Step-by-step explanation:
-39.75 = 7.5m
Divide both sides by 7.5 to get m alone
-39.75/7.5 = 7.5m/7.5
-5.3 = m
Hope this helps:)
