kes1968

another question , another superb explanation from mod

Melody you are simply awesome ! thanks for the helping mate

so whats the final answer so that i can challenge the answer key?

brother do you really believe its option 4 or just to keep my heart , please clarify if you still believe the answer is 1 , if yes then please prove the same to me as well

brother , if you see your second answer and change it in terms of x , wont you get option 2 and option 4 , 

brother so what you feel (as a math expert) should be the right answer to the given question ,

brother what you have found is the same function just in terms y , but inverse function is symmetrical about y=x axis ,

also f(f^-1(x))=x which is not satisfied , 

by the way if i do the same operation and interchange x and y i get 2 and 4 option , that satifies both conditions

ignoring dollar sign glitch, 

your polynomials is -2[(x-(3+root5)(x-(3-root5)]

simplyfing  

p(x)=-2(x^2-6x+4)

vertex coordinates are (-b/2a, -d/4a)

so vertex is V(3,10)

CALCUALTION :  X = -b/2a=-(-6)/2=3

                             Y=   -D/4a=-(20)/2=10

for (x+1) and (x+2) be a factor of given polynomialp(x) , they must be its roots. and 

hence according to remainder theorem p(-1) and p(-2) must be 0,

so p(-1)=-1-a+b-8=0

     p(-2)=-8-4a+2b-8=0 

solving these 2 simentanous equation.

b-a=9 

b-2a=8

so b= 10 and a is 1

and polynomial becomes x^3-x^2-10x-8=0 

since product of roots is 8(-d/a) and 2 roots are -1 and -2  last root must be 4 so factor is (x-4)

you could also go for long division.!!!

cheers 

angle EKJ will span  an arc of  360 - 168  =192

angle EFC  = (4(26) + 24)  =   128°

Quadratic Trinomial  Since degree is 2 

Cubic Trinomial   since degree is 3

since the type of polynomail stresses upon the highest exponent or degree of the polynomial . This all determines the nature of polynomial

3*3*3*3*3*3*3=3^6=729

A squared number is what you get when you multiply a number by itself; for example, 4 is the square of 2, because 2x2=4, and 25 is the square of 5, because 5x5=25, and so on. A cubed number is what you get when you multiply a number by itself TWICE; for example, if you do 2x2x2, first 2x2=4, and then this multipled by 2 again =8, so 8 is the CUBE of 2. 4x4=8, and 8 multiplied by 4 again=32, so 32 is the CUBE of 4. Numbers that you multiply to get their square or cube root

28+_

2min = 120 sec, and his speed is 8/11 words per sec therfore 

words written is 2 min = 8/11 *  120  

= 960/11 =  87.27 thus he can write 87.27 in 2min

0/0 =100-100/100-100= 10²-10²/10²-10²=[10+10][10-10]/10[10-10] =10+10/10=20/10=2

hence proved

I AN NOT GETTING WHAT YOU HAVE GIVEN PLEASE EXPLAIN YOUR ANS TO ME MORE BRIEFLY

• The square root of 10, or 10 radical 2, or the square root of 10 is written as ²√10 or √10 = ±3.162278

i don't kow