Recent content by laprec

Kindly assist with these questions: Data showed that 22% of people in a small town was infected with the COVID-19 virus. A random sample of six residents from this town was selected. 1) What is the probability that exactly two of these residents was infected? 2) What is the probability that at...

Thank you very much! Much appreciated!

Thanks a million skeeter. Much appreciated! I have attached complete work out based on your guidiance. - - - Updated - - - Thanks a lot Klaas van Aarsen, the alternative method is equally helpful and insightful. Much appreciated.

Kindly assist with this question: Determine the general solutions cos(2x+20)=-cos(x-11)

So, we can conclude that (x+1) is the only common factor. Wow! You are the best. Thanks for taking me through this process. I surely learned a lot

Substituting p(a)=0 and q(a)=0 in the equation will give 0=2 (this cannot be true)

So (x-a) is a factor!

Therefore p(a)= (x-a)r(x)=0

(a-6)p(a)=(a-3)q(a)-2 Thanks so much but I couldn't make headway with the substitution.

If we divide (x-6)(x+1)p(x)=(x-3)(x+1)q(x)+2(x+1) by (x+1) We will get (x-6)p(x)=(x-3)q(x)+2 p(x)=q(x)+2 ?? I am also struggling to see any common factor in the equation Thanks!

Thanks I like Serena, So since x+1 is a common factor, therefore g(-1)= (-1-3)(-1+1)q(x)=0 g(-1)=0 Therefore f(-1)= 0+2(-1)+2=0 Thus x+1 is a common factor of both functions since the remainder equal zero. I will appreciate if you can confirm that this is order. Thank you.

Thanks a lot! I am grateful for your help. How do I determine if functions p(x) and q(x) have a common factor using f(x)=g(x)+2x+2?

Thanks a lot! when I substituted x=6 into (x-6)(x+1)(px), f(x)=0. This make g(x)=-2x-2. I'm sure this is wrong. - - - Updated - - - I meant my substitution is wrong!

Kindly help with this problem solving: f(x) is divisible by x^2-5x-6 and g(x) is divisible by x^2-2x-3 f(x)=g(x)+2x+2 a) Determine the values of f(6) and g(6) b) State common factor for the two functions Attempts: For f(x):factors are x^2-5x-6=(x-6)(x+1) For g(x):Factors...

Thanks a lot! I mean't to say it is a right triangle because I used Trig ratio. I am sorry the diagrams that were included in my attempt to solve the second part of the question are not displaying in the thread. I will make another attempt to attached the diagrams. Your efforts is highly...