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Questions in mathematics

[Done] State the domain and range for the following relation. Then determine whether the relation represents a function. \{(5,-9),(6,-9),(7,-9),(8,-9)\}

[Done] A group of 100 students were asked if they study French or Spanish in school. The results are shown in this two-way table. | | French | Not French | Total | | :---------- | :----- | :--------- | :---- | | Spanish | 5 | 63 | 68 | | Not Spanish | 30 | 2 | 32 | | Total | 35 | 65 | 100 | Which statements are correct? Check all that apply. A. 5 students study both French and Spanish. B. 63 students study French. C. 2 students study neither French nor Spanish. D. 30 students study French, but not Spanish. E. 63 students study Spanish.

[Done] You want to divide \(x^3 - 2x^2 + 8x\) by \(x + 3\) by using synthetic division. Which of the following is the correct setup? -3 | 1 -2 8 -3 | 1 -2 8 0 3 | 1 -2 8 0 3 | 1 -2 8

[Done] Complete the series by filling in the blanks. 10,050 / 10,070 20,000 / 50,000 90,001 / 90,003 28,756 / 29,056 17,432 / 20,432

[Done] Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Ratio Conversion Table | mile: yard | 1 | 1,760 | | yard: foot | $1: 3$ | | foot: inch | $1: 12$ | Using the conversion table, match the equivalent measurements. | 372 feet | 352 yards | 124 yards | 1.016 yards | | 29 feet | 10.560 feet | 0.2 miles | 2 miles | [ ] [ ] [ ] [ ] [ ]

[Done] \begin{tabular}{|c|c|c|c|c|} \hline$P$ & 6 & 8 & 9 & 12 \ \hline$Q$ & 24 & 18 & 16 & 12 \ \hline \end{tabular} Example 7 fy is inversely proportional to $x+2$ and $y=48$ when $x=10$, find $x$ when $y=30$ Solution $y x \frac{1}{x+2}$ or $y=\frac{k}{x+2}$, where $k$ is the constant of proportionality

[Done] Select the correct answer from the drop-down menu. $\frac{7^{16}}{7^{12}}=\frac{7^{-18}}{7^{\square}}$ The missing term in the denominator is $\square$

[Done] Consider continuous functions $f, g, h$, and $k$. Then complete the statements. Function $h$ is two times the square of the difference of $x$ and 1. $k(x)=x^4+2 x^2+8 x-4$ Select the correct answer from each drop-down. The function that has the least minimum value is function $\square$. The function that has the greatest minimum value is function $\square$.

[Done] Find the twelfth term of the geometric sequence, given the first term and the common ratio. [tex] \begin{array}{c} a_1=2 \text { and } r=-1 \\ a_{12}=[?] \end{array} [/tex]

[Done] Find the x-intercept and y-intercept of the following linear equation: [tex]$-7 x+4 y=56$[/tex] x-intercept (?, ?) y-intercept (?, ?)