Questions in mathematics

Questions in mathematics

📝 Answered - Graph the set \{x \mid x \leq 5\} on the number line. Then, write the set using interval notation.

📝 Answered - What is the least common denominator that can be used to solve this equation? [tex]\frac{1}{x}+\frac{2}{x-3}=5[/tex] A. [tex]$5 x(x-3)$[/tex] B. [tex]$x$[/tex] C. [tex]$x(x-3)$[/tex] D. [tex]$x-3$[/tex]

📝 Answered - What number will the function return if the input is [tex]$10.5$[/tex]?

📝 Answered - Rewrite using only positive, rational exponents. $6 a^{\frac{3}{2}} b^{-\frac{4}{5}} c^{\frac{5}{3}}$

📝 Answered - Isaac has made two fair spinners. Spinner 1 has 10 equal sized sections. Spinner 2 has 4 equal sized sections. Isaac says: "It is more likely to get a 4 on spinner 1 than spinner 2 because there are two number [tex]$4 s$[/tex] on spinner 1 and only one number 4 on spinner 2 ." Explain why Isaac is incorrect.

📝 Answered - Which is the ordered pair for the point on the $x$-axis that is on the line parallel to the given line and through the given point $(-6,10)$?

📝 Answered - Let [tex]$f(x)=\frac{4 x}{x^2+2 x-8}$[/tex]. | x | f(x) | | :----- | :------- | | 1.99 | ⋱ | | 1.999 | C | | 1.9999 | V | | 2 | ⋱ | | 2.0001 | D | | 2.001 | D | | 2.01 | D |

📝 Answered - Subtract. Write the difference in simplest form. $\frac{5 y}{6 x^2}-\frac{3 y}{4 x}$ A. $\frac{y}{x}$ B. $\frac{y(10-9 x)}{12 x^2}$ C. $\frac{y}{6 x^2}$ D. $\frac{y(5-3 x)}{12 x^2}$

📝 Answered - What are the solutions of $\frac{1}{4} x^2=-\frac{1}{2} x+2$? A. -4 and 2 B. -4 and 1 C. 0 and 4 D. 1 and 4

📝 Answered - Solve. $4^x=8$ $x=$ $\square$ (Type an integer or a simplified fraction.)