The graph of the system of equations $\begin{displaymath}\begin{cases} x-2\,y=3 \\ [1ex] 6\,y+3\,x=9 \end{cases}\end{displaymath}$ consists of
two lines intersecting where y = 3
two lines intersecting where x = 3
two lines intersecting where x = 3
one line
two distinct parallel lines
The inequality $\displaystyle x^2-7\,x<8$ is equivalent to
−1 < x < 8
−7 < x < 1
−8 < x < 1
x < − 1 or x > 8
−1 < x < 7
$\displaystyle {{x+2}\over{x^2-16}} \times {{8\,x-32}\over{4\,x+8}}$ = ?
$\displaystyle {{2}\over{x-4}}$
$\displaystyle {{8}\over{x+4}}$
$\displaystyle {{2}\over{x+4}}$
$\displaystyle {{4}\over{x-4}}$
$\displaystyle {{2}\over{x^2-16}}$
$\displaystyle \frac{1}{ 3 + \sqrt{7}}$ =
$-3 + \sqrt{7}$
$\displaystyle \frac{ 3 - \sqrt{7}} { 2}$
$\displaystyle \frac{ 3 + \sqrt{7}} { 2}$
$\displaystyle \frac{ 3 - \sqrt{7}} { 16}$
$\displaystyle \frac{ 3 + \sqrt{7}} { 16}$
If and , then $\sqrt{ 125 \sqrt{ 81 x^{ 10} y^{ 6}}}$ =
$\displaystyle 3\,5^{{{3}\over{2}}}\,x^2\,y\,\sqrt{x\,y}$
$\displaystyle 45\,x^5\,y^5$
$\displaystyle 45\,x^2\,y\,\sqrt{x\,y}$
$\displaystyle 3\,x^5\,y^3$
$\displaystyle 9\,5^{{{3}\over{2}}}\,x^2\,y\,\sqrt{x\,y}$
An equation of the line passing through ( 1 , −2 ) having slope $\displaystyle -{{1}\over{4}}$ is
−4y − x = 9
−4y − x = 7
4y − x = −7
4y − x = 7
−4y − x = −7
The graph of $\displaystyle y=x^2-20\,x+22$ is symmetric with respect to the line
y = 10
x = 20
x = −10
x = 10
y = −10

Department of Mathematics
Last modified: 2026-05-31