Question and Answers Forum

AlgebraQuestion and Answers: Page 249

Question Number 99175 Answers: 2 Comments: 0

A man and a woman have 3 boys and 3 girls. (i) in how many ways will they sit in a row such that the 3 boys and 3 girls are inbetween the man and woman. (ii) Say the man decides of the 3 boys and 3 girls he has 2 of the kids should help him out in a project, in how many ways can this be done, if heyoungest boy and oldest girl can′t join.

$A man and a woman have 3 boys and 3 girls .$ $(i) in how many ways will they sit in a row such that$ $the 3 boys and 3 girls are inbetween the man and woman .$ $(ii) Say the man decides of the 3 boys and 3 girls he has 2$ $of the kids should help him out in a project,$ $in how many ways can this be done, if heyoungest boy and oldest$ $girl {can}^{'} t join .$

Question Number 99171 Answers: 0 Comments: 3

Question Number 99117 Answers: 1 Comments: 0

let a,b,c ∈R determine the minimum value ((3a)/(b+c))+((4b)/(a+c))+((5c)/(a+b))

$l e t a, b, c \in R d e t e r m i n e t h e m i n i m u m$ $v a l u e$ $\frac{3 a}{b + c} + \frac{4 b}{a + c} + \frac{5 c}{a + b}$

Question Number 99094 Answers: 1 Comments: 0

find ((9+9((9+9((9+9((9+...))^(1/(3 )) ))^(1/(3 )) ))^(1/(3 )) ))^(1/(3 )) − (√(8−(√(8−(√(8+(√(8−(√(8−(√(8−(√(8−(√)))))))...))))))))

$find \sqrt[3]{9 + 9 \sqrt[3]{9 + 9 \sqrt[3]{9 + 9 \sqrt[3]{9 + . . .}}}} -$ $\sqrt{8 - \sqrt{8 - \sqrt{8 + \sqrt{8 - \sqrt{8 - \sqrt{8 - \sqrt{8 - \sqrt{}}}} . . .}}}}$

Question Number 99089 Answers: 1 Comments: 0

((9+((9+((9+((9+...))^(1/(3 )) ))^(1/(3 )) ))^(1/(3 )) ))^(1/(3 )) −(√(8−(√(8−(√(8−(√(8−...))))))))

$\sqrt[3]{9 + \sqrt[3]{9 + \sqrt[3]{9 + \sqrt[3]{9 + . . .}}}} - \sqrt{8 - \sqrt{8 - \sqrt{8 - \sqrt{8 - . . .}}}}$

Question Number 99045 Answers: 1 Comments: 0

{ ((x^2 +y^2 = 10)),((x^2 −5xy+6y^2 = 0)) :} find x &y

${\begin{cases} x^{2} + y^{2} = 10 \\ x^{2} - 5 xy + {6 y}^{2} = 0 \end{cases}$ $find x & y$

Question Number 99005 Answers: 2 Comments: 0

Σ_(m = 1) ^∞ Σ_(n = 1) ^∞ (1/(mn(m+n))) ?

$\underset{m = 1}{\sum^{\infty}} \underset{n = 1}{\sum^{\infty}} \frac{1}{mn (m + n)} ?$

Question Number 98983 Answers: 0 Comments: 2

let a,b,c be positive real numbers such that ab+bc+ac=3 prove the inquality ((a(b^2 +c^2 ))/(a^2 +bc))+((b(c^2 +a^2 ))/(b^2 +ac))+((c(b^2 +a^2 ))/(c^2 +ab))≥3

$l e t a, b, c b e p o s i t i v e r e a l n u m b e r s s u c h$ $t h a t a b + b c + a c = 3$ $p r o v e t h e i n q u a l i t y$ $\frac{a (b^{2} + c^{2})}{a^{2} + b c} + \frac{b (c^{2} + a^{2})}{b^{2} + a c} + \frac{c (b^{2} + a^{2})}{c^{2} + a b} ⩾ 3$