Questions in mathematics

Questions in mathematics

📝 Answered - Solve for q. [tex]$-7 q+12 r=3 q-4 r$[/tex] Write a formula for [tex]$g(q)$[/tex] in terms of [tex]$q$[/tex]. [tex]$g(q)= \square$[/tex]

📝 Answered - Find the 7th term of this geometric sequence. [tex] \begin{array}{c} 2,8,32,128, \ldots \\ a_7=[?] \end{array} [/tex]

📝 Answered - If a bus driver leaves her first stop by 7:00 a.m., her route will take less than 37 minutes. If she leaves after 7:00 a.m., she estimates that the same route will take no less than 42 minutes. Which inequality represents the time it takes to drive the route, [tex]$r$[/tex]? A. [tex]$r\ \textless \ 37$[/tex] or [tex]$r \geq 42$[/tex] B. [tex]$r\ \textless \ 37$[/tex] or [tex]$r\ \textgreater \ 42$[/tex] C. [tex]$37\ \textless \ r \geq 42$[/tex] D. [tex]$37\ \textgreater \ r \geq 42$[/tex]

📝 Answered - By rounding to 1 significant figure, estimate the answers to these questions: a) $31 \times 75$ b) $29 \times 564$ c) $765 \times 273$

📝 Answered - \frac{7}{10}+\frac{5}{10}

📝 Answered - Find the vertical, horizontal, and oblique asymptotes, if any, for the following rational function. [tex]R(x)=\frac{5 x}{x+19}[/tex] A. The function has one vertical asymptote, [tex]x=-19[/tex]. B. The function has two vertical asymptotes. The leftmost asymptote is and the rightmost asymptote is (Type equations. Use integers or fractions for any numbers in the equations.) C. The function has no vertical asymptote. Find the horizontal asymptotes. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function has one horizontal asymptote, [tex]\square[/tex] . B. The function has two horizontal asymptotes. The top asymptote is [tex]\square[/tex] and the bottom asymptote is [tex]\square[/tex] . C. The function has no horizontal asymptote.

📝 Answered - Find the values of x and y, if [tex]x \begin{pmatrix} -1 \\ 3 \end{pmatrix} + y \begin{pmatrix} 2 \\ 1 \end{pmatrix} = \begin{pmatrix} -1 \\ -8 \end{pmatrix}[/tex]

📝 Answered - Let f(x, y) = 5x² - sin(7x - 6y). Now, assume that x and y are functions of u and v, given by: x(u, v) = 6u - 4v², y(u, v) = 3u² - v. Consider the composite function f(x(u, v), y(u, v)). What is the value of this function at (u, v) = (-1, 1)?

📝 Answered - Factor the following expression: [tex]\begin{array}{c} 11 x^2+74 x+48 \\ (11 x+[?])(x \square 6) \end{array}[/tex]

📝 Answered - Fully factorise the quadratic expression $7 b-b^2-10$