Questions in mathematics

Questions in mathematics

📝 Answered - Which statement best describes the domain and range of [tex]$f(x)=-(7)^x$[/tex] and [tex]$g(x)=7^x$[/tex]? A. [tex]$f(x)$[/tex] and [tex]$g(x)$[/tex] have the same domain and the same range. B. [tex]$f(x)$[/tex] and [tex]$g(x)$[/tex] have the same domain but different ranges. C. [tex]$f(x)$[/tex] and [tex]$g(x)$[/tex] have different domains but the same range. D. [tex]$f(x)$[/tex] and [tex]$g(x)$[/tex] have different domains and different ranges.

📝 Answered - A drugstore is selling two types of notebooks for $3 and $4. If a person wants to spend between $10 and $15 on notebooks, write the system of inequalities that represents this situation. [tex] \begin{array}{l} 3 x+4 y \geq 15 \\ 3 x+4 y \leq 10 \end{array} [/tex] [tex] \begin{array}{l} 3 x+4 y \leq 15 \\ 3 x+4 y \geq 10 \end{array} [/tex] [tex] \begin{array}{l} x \geq 0, y \geq 0 \\ 3 x+4 y \leq 15 \end{array} [/tex] [tex] \begin{array}{l} x \geq 0, y \geq 0 \\ 3 x+4 y \geq 10 \end{array} [/tex]

📝 Answered - What is the simplified form of the following expression? Assume [tex]x\ \textgreater \ 0[/tex]. [tex]\sqrt[4]{\frac{3}{2 x}}[/tex] A. [tex]\frac{\sqrt[4]{6 x}}{2 x}[/tex] B. [tex]\frac{\sqrt[4]{24 x^3}}{2 x}[/tex] C. [tex]\frac{\sqrt[4]{24 x^3}}{16 x^4}[/tex] D. [tex]\sqrt[4]{12 x^2}[/tex]

📝 Answered - Use synthetic division and the Remainder Theorem to find the indicated function value. [tex]f(x)=7 x^4+10 x^3+6 x^2-5 x+53 ; f(2)[/tex]

📝 Answered - The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for $y$, the length of the room? Select three options. $3(y+5)=730$ $y^2-5 y=750$ $750-3(y-5)=0$ $3(y-5)+750=0$ $(y-35)(y+30)=0$

📝 Answered - Simplify the complex fraction $\frac{3-\frac{7}{x}}{x+\frac{2}{3 x}}$

📝 Answered - Factor completely $-5 x^3+10 x^2$ A. Prime B. $-x\left(5 x^2-10 x\right)$ C. $5 x\left(-x^2+2 x\right)$ D. $-5 x^2(x-2)$

📝 Answered - Solve the equation for [tex]$s$[/tex]. [tex]$64 s^2+80 s=-25$[/tex]

📝 Answered - The two-way table below shows the number of tickets sold for performances to the school play. Tickets Sold, by Performance Time | | Saturday | Sunday | | :--------- | :------- | :----- | | 12 pm show | 178 | 211 | | 4 pm show | 204 | 212 | | 8 pm show | 212 | 196 | Which statement is best supported by the table? A. Twenty-three more tickets were sold to the Sunday 12 pm show than to the Saturday 12 pm show. B. Twenty-four more tickets were sold to the 8 pm shows than to the 4 pm shows. C. Twenty-five more tickets were sold to the Sunday shows than to the Saturday shows. D. Twenty-six more tickets were sold to the 4 pm shows than to the 12 pm shows.

📝 Answered - An ellipse is represented by the equation: ((x - 5)^2)/625 + ((y - 4)^2)/225 = 1 Each directrix of this ellipse is a ________________________ from the center on the major axis. A) Horizontal line that is 20 units B) Vertical line that is 20 units C) Horizontal line that is 31.25 units D) Vertical line that is 31.25 units?