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Questions in mathematics

[Terjawab] Graph the rational function [tex]y=\frac{x^2-3}{x-1}[/tex]. Both branches of the rational function pass through which quadrant? A. Quadrant 2 B. Quadrant 4 C. Quadrant 3 D. Quadrant 1

[Terjawab] Work out the equation of the straight line that passes through $(5,4)$ and $(8,19)$. Give your answer in the form $y=m x+c$, where $m$ and $c$ are integers or fractions in their simplest forms.

[Terjawab] Evaluate the logarithm. Round your answer to the nearest thousandth. [tex]6 \log _7(681) \approx[/tex]

[Terjawab] Manuela solved the equation $3-2|0.5 x+1.5|=2$ for one solution. Her work is shown below. $\begin{aligned} 3-2|0.5 x+1.5| & =2 \\ -2|0.5 x+1.5| & =-1 \\ |0.5 x+1.5| & =0.5 \\ 0.5 x+1.5 & =0.5 \\ 0.5 x & =-1 \\ x & =-2 \end{aligned}$ What is the other solution to the equation? A. $x=-6$ B. $x=-4$ C. $x=2$ D. $x=4$

[Terjawab] Convert the unit of length. Use [tex]$1 m=100 cm$[/tex] and [tex]$1 m \approx 3.28 ft$[/tex]. Round the answer to one decimal place if necessary. [tex]$1.2 ft \approx \frac{\square}{\square} \cdot \frac{\square}{\square} \cdot \frac{\square}{\square} \approx \square cm$[/tex]

[Terjawab] Solve $7x - 9 = 28 + 4(x - 1)$.

[Terjawab] Divide 54 oranges in the ratio of [tex]$4^2$[/tex] between Teekay and Intel

[Terjawab] Keshawn is asked to compare and contrast the domain and range for the two functions. [tex] \begin{array}{l} f(x)=5 x \\ g(x)=5^x \end{array} [/tex] Which statements could he include in his explanation? Select two options. A. The domain of both functions is all real numbers. B. The domain of [tex]f(x)[/tex] is [tex]x\ \textgreater \ 5[/tex]. C. The domain of [tex]g(x)[/tex] is [tex]x\ \textgreater \ 5[/tex]. D. The range of [tex]f(x)[/tex] is [tex]y\ \textgreater \ 0[/tex]. E. The range of [tex]g(x)[/tex] is [tex]y\ \textgreater \ 0[/tex]

[Terjawab] The heights of 200 adults were recorded and divided into two categories. | | % or over | Under © | | :----- | :-------- | :------ | | Male | 12 | 86 | | Female | 3 | | Which two-way frequency table correctly shows the marginal frequencies? A. | | $6$ or over | Under ${}^\circ$ | Total | | :----- | :---------- | :---------------- | :---- | | Nale | 12 | 86 | 98 | | Female | 3 | 99 | 102 | | Total | 15 | 185 | 200 | B. | | F or over | Under $6{}^\circ$ | Total | | :----- | :-------- | :---------------- | :---- | | Male | 12 | 86 | 100 | | Female | 3 | 97 | 100 | | Total | 15 | 185 | 200 | C. | | ${}^\prime$ or over | Under ${}^\prime$ | Total | | :----- | :---------------- | :------------------ | :---- | | Nale | 12 | 86 | 98 | | Female | 3 | 197 | 200 | | Total | 15 | 283 | 298 | D. | | %${}^\prime$ or over | Under 6${}^\prime$ | Total | | :----- | :------------------ | :------------------ | :---- | | Male | 12 | 86 | 98 | | Female | 3 | 114 | 117 | | Total | 15 | 200 | 215 |

[Terjawab] What's $15 / 45$ written as a fraction in simplest form? A) $1 / 3$ B) $15 / 3$ C) $3 / 15$ D) $5 / 3$