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Questions in mathematics

[Jawaban] Factorise [tex]x^2-x[/tex]

[Jawaban] Suppose the following data represent the ratings (on a scale from 1 to 5) for a certain smart phone game, with 1 representing a poor rating. Complete parts (a) through (d) below. \begin{tabular}{c|c} Stars & Frequency \\ \hline 1 & 2982 \\ 2 & 2783 \\ 3 & 3852 \\ 4 & 4078 \\ 5 & 11,551 \end{tabular} (a) Construct a discrete probability distribution for the random variable [tex]$x$[/tex]. \begin{tabular}{c|c} Stars ([tex]$x$[/tex]) & [tex]$P(x)$[/tex] \\ \hline 1 & $\square$ \\ 2 & $\square$ \\ 3 & $\square$ \\ 4 & $\square$ \\ 5 & $\square$ \end{tabular} (Round to three decimal places as needed.)

[Jawaban] Solve [tex]\frac{m+1}{2 m+1}=\frac{3}{5}[/tex]

[Jawaban] LMNO is a parallelogram, with $\angle M=(11 x)^{\circ}$ and $\angle N=(6 x-7)^{\circ}$. Which statements are true about parallelogram LMNO? Select three options. $x=11$ $m \angle L =22^{\circ}$ $m \angle M =111^{\circ}$ $m \angle N=59^{\circ}$ $m \angle O =121^{\circ}$

[Jawaban] \frac{7^{-8}}{7^2}

[Jawaban] [tex]$\sqrt{5}+\sqrt[3]{70}$[/tex]

[Jawaban] Solve the quadratic equation [tex]3 x^2-5 x-7=0[/tex]. Give your answers to 3 significant figures.

[Jawaban] Suppose a triangle has sides [tex]a, b[/tex], and [tex]c[/tex], and that [tex]a^2+b^2\ \textgreater \ c^2[/tex]. Let [tex]\theta[/tex] be the measure of the angle opposite the side of length [tex]c[/tex]. Which of the following must be true? Check all that apply. A. The triangle is a right triangle. B. [tex]\theta[/tex] is an acute angle. C. The triangle is not a right triangle. D. [tex]cos \theta\ \textgreater \ 0[/tex]

[Jawaban] 22. Find the range of [tex]f(x)=\frac{x-2}{x-3}[/tex]. A. [tex]R \backslash{0,1}[/tex] B. [tex]R[/tex] C. [tex]R \backslash{2,3}[/tex] D. [tex]R \backslash{1}[/tex]. 23. The [tex]y[/tex]-intercept of [tex]y=a x^3+b x^2+c x+d[/tex] is A. [tex](y(0), 0)[/tex] B. [tex](y(0), y(0))[/tex] C. [tex](0,0)[/tex] D. [tex](0, y(0))[/tex]. 24. Evaluate [tex]\lim _{h \rightarrow 0} \frac{1}{h} \ln \left(\frac{2+h}{2}\right)[/tex]. A. [tex]e^2[/tex] B. 1 C. [tex]\frac{1}{2}[/tex] D. 0. 25. Evaluate the left-hand limit [tex]\lim _{x \rightarrow-3}\left(-\frac{5}{x+3}\right)[/tex]. A. [tex]-x[/tex] B. [tex]\propto[/tex] C. 2 D. -2. 26. Evaluate [tex]\lim _{x \rightarrow-2} \frac{x+2}{\ln (x+3)}[/tex] A. Does not exist B. 2 C. 0 D. 1.

[Jawaban] Select the correct answer from each drop-down menu. Consider the given equation: [tex]3 x+2 y=8[/tex]. The equation [tex]y=3 / 2 v x+[ /tex] represents the line parallel to the given equation and passes through the point (-2,5).