# Recent questions tagged equations 1 vote
1
For which value of $k$ does the following pair of equations yield a unique solution for $x$ such that the solution is positive? $x^{2}-y^{2}=0$ $(x-k)^{2}+y^{2}=1$ $2$ $0$ $\sqrt{2}$ $\sqrt{-2}$
1 vote
2
Refer to the following data: le(x, y) = | least of(x, y) mo(x) = |x| me(x) (x, y) = maximum of(x, y) For what values of $a$ is $le(a^{2} – 3a, a – 3) < 0$? $1 < a < 3$ $a < 0$ and $a < 3$ $a < 0$ and $a < 3$ $a < 0$ or $a < 3$
1 vote
3
Refer to the following data: le(x, y) = | least of(x, y) mo(x) = |x| me(x) (x, y) = maximum of(x, y) For what values of a is $me(a^{2} – 3a, a – 3) < 0$? $a < 3$ and $a < 1$ $1 < a < 3$ $a < 3$ or $a < 1$ $a < 3$ or $a < 0$
1 vote
Refer to the following data: le(x, y) = | least of(x, y) mo(x) = |x| me(x) (x, y) = maximum of(x, y) Which of the following must be correct? mo(le(a, b)$^{3}$ (me(mo(a), mo(b)) mo(le(a, b)) > (me(mo(a), mo(b)) mo(le(a, b)) < (le(mo(a), mo(b)) mo(le(a, b)) le(mo(a), mo(b))
Refer to the following data: le(x, y) = | least of(x, y) mo(x) = |x| me(x) (x, y) = maximum of(x, y) Find the value of me(a + mo(le(a, b)); mo(a + me(mo(a), mo(b)), at $a = -2$ and $b = - 3$. $1$ $0$ $5$ $3$
What is the value of m which satisfies $3m^{2} - 21m + 30 < 0$? $m < 2$, or $m > 5$ $m > 2$ $2 < m < 5$ $m < 5$