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Questions in mathematics

[Jawaban] Find the lowest common multiple of $8 x^2 y$ and $12 x y^2 z$. A. $24 x^2 y^2 z$ B. $96 x^3 y^3 z$ C. $96 x^2 y^2 z$ D. $48 x^2 y^2 z$

[Jawaban] The graph of which function has an axis of symmetry at [tex]$x=-\frac{1}{4}$[/tex]? A. [tex]$f(x)=2 x^2+x-1$[/tex] B. [tex]$f(x)=2 x^2-x+1$[/tex] C. [tex]$f(x)=x^2+2 x-1$[/tex] D. [tex]$f(x)=x^2-2 x+1$[/tex]

[Jawaban] Given the tables of input [tex]$x$[/tex] and output [tex]$y$[/tex] values, determine whether the tables represent a function. Table 1: [tex]\begin{tabular}{|l|l|l|l|l|l|} \hline $x$ & 1 & 2 & 3 & 4 & 5 \\ \hline $y$ & 8 & 11 & 16 & 23 & 32 \\ \hline \end{tabular}[/tex] A. Yes B. No Table 2: [tex]\begin{tabular}{|l|l|l|l|l|l|l|} \hline $x$ & -5 & -5 & -1 & 4 & 6 & 10 \\ \hline $y$ & 20 & 12 & 0 & 20 & 42 & 110 \\ \hline \end{tabular}[/tex] A. Yes B. No

[Jawaban] The vertex form of a quadratic function is [tex]$f(x)=a(x-h)^2+k$[/tex]. What is the vertex of each function? Match the function rule with the coordinates of its vertex. (5,6) (5,-9) (-5,-6) (-9,-5) (6,9) [tex]$f(x)=9(x+5)^2-6$[/tex] [tex]$f(x)=5(x-6)^2+9$[/tex] [tex]$f(x)=6(x+9)^2-5$[/tex] [tex]$f(x)=9(x-5)^2+6$[/tex] [tex]$f(x)=6(x-5)^2-9$[/tex]

[Jawaban] A taste test asks people from Texas and California which pasta they prefer, brand A or brand B. This table shows the results. | | Brand A | Brand B | Total | | :---------- | :------ | :------ | :---- | | Texas | 80 | 45 | 125 | | California | 90 | 60 | 150 | | Total | 170 | 105 | 275 | A person is randomly selected from those tested. What is the probability that the person is from Texas, given that the person prefers brand A? Round your answer to two decimal places. A. 0.45 B. 0.64 C. 0.47 D. 0.62

[Jawaban] Let $D=\{16,19,21\}, E=\{16,18,19,20\}$ and $F=\{15,17,18,19,21\}$. List the elements in the set $(D \cup E) \cap F$. $(D \cup E) \cap F=$

[Jawaban] If 427.27% of a number is added to one-third of itself, then it becomes 12,920. Find 20% of the original number. (a) 561 (b) 374

[Jawaban] Distribute in order to expand this expression: 8(y - 4) Answer: 8(y - 4) =

[Jawaban] Given the function below, fill in the table of values and use the table values to graph the function. [tex]$y=3 x$[/tex] \begin{tabular}{|c|c|} \hline[tex]$x$[/tex] & [tex]$y$[/tex] \\ \hline-3 & -9 \\ \hline-2 & -6 \\ \hline-1 & -3 \\ \hline 0 & 0 \\ \hline 1 & 3 \\ \hline 2 & 6 \\ \hline 3 & 9 \\ \hline \end{tabular}

[Jawaban] Which function is the inverse of [tex]f(x)=-5 x-4[/tex] ? A. [tex]f^{-1}(x)=-\frac{1}{5} x-\frac{4}{5}[/tex] B. [tex]f^{-1}(x)=-\frac{1}{5} x+\frac{4}{5}[/tex] C. [tex]f^{-1}(x)=-4 x+5[/tex] D. [tex]f^{-1}(x)=4 x+4[/tex]