Question

Renuka spends 35 % of her income on clothes and 40 % on food. If food amounts to Rs. 384, what does she spend on clothes (in Rs.)?

Answer 1

Answer:

Renuka spends 35 % of her income on clothes and 40 % on food. If food amounts to Rs. 384, what does she spend on clothes (in Rs.)? Explanation: Let her total income = x %there4; 40x/100 = 384 ⇒ x = 960

Answer 2

Answer:

GIVEN

( x + 1 ) is a factor of the polynomial

x^3 + ax^2 + 11x + 6x

3

+ax

2

+11x+6

TO DETERMINE

The value of ( a + 2)

CALCULATION

The zero of the polynomial x +1 is given by

x + 1 = 0x+1=0

\implies\displaystyle \: x = - 1⟹x=−1

Let \: \: f(x) = x^3 + ax^2 + 11x + 6Letf(x)=x

3

+ax

2

+11x+6

Now by the Remainder Theorem the required Remainder is

f( - 1) = ( - 1)^3 + a \times ( - 1)^2 + 11 \times ( - 1) + 6f(−1)=(−1)

3

+a×(−1)

2

+11×(−1)+6

\implies \: f( - 1) = - 1 + a - 11 + 6 = a - 6⟹f(−1)=−1+a−11+6=a−6

Since ( x + 1 ) is a factor of the polynomial

So

a - 6 = 0a−6=0

\implies \: a = 6⟹a=6

\therefore \: a + 2 = 6 + 2 = 8∴a+2=6+2=8

RESULT

\red{ \fbox{SO THE REQUIRED ANSWER IS 8}}

SO THE REQUIRED ANSWER IS 8