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Questions in mathematics
[Answered] If [tex]f(x)=2x[/tex] and [tex]g(x)=5x+2[/tex], what is [tex](f \cdot g)(x)[/tex] when [tex]x=3[/tex]?
[Answered] Given the square matrix [tex]A=\left(\begin{array}{ccc}1 & 2 & -3 \\ 2 & -1 & -1 \\ 3 & 2 & 1\end{array}\right)[/tex], find [tex]A^{-1}[/tex], the inverse of matrix [tex]A[/tex], and use your result to solve the following system of linear equations: [tex]\begin{array}{l} x+2 y-3 z=3 \\ 2 x-y-z=11 \\ 3 x+2 y+z=-5 \end{array}[/tex] Define the following with an example each: (i) Null matrix (ii) Square matrix (iii) Symmetric Matrix
[Answered] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
[Answered] When $1,250^{\frac{3}{4}}$ is written in its simplest radical form, which value remains under the radical? A. 2 B. 5 C. 6 D. 8
[Answered] Find the volume of the solid of revolution formed by rotating the region bounded by [tex]y=x^3[/tex] and [tex]y=x[/tex] about the line [tex]x=-2[/tex]. Use the shell method. V = [?] Round your answer to the nearest thousandth.
[Answered] Graph a system of equations to solve $\log (-5.6 x+1.3)=-1-x$. Round to the nearest tenth. From the least to the greatest, the solutions are: $x \approx \square \text { and } x \approx \square \text {. }$
[Answered] Which statements about the graph of the function [tex]f(x)= 2 x^2-x-6[/tex] are true? Select two options. The domain of the function is [tex] \left\{x \left\lvert\, x \geq \frac{1}{4}\right.\right\}[/tex]. The range of the function is all real numbers. The vertex of the function is [tex]\left(\frac{1}{4},-6 \frac{1}{8}\right)[/tex]. The function has two [tex]x[/tex]-intercepts. The function is increasing over the interval [tex]\left(-6 \frac{1}{8}, \infty\right)[/tex].
[Answered] Which of the following shows the extraneous solution to the logarithmic equation [tex]$\log _7\left(3 x^3+x\right)-\log _7(x)=2$[/tex]? A. [tex]$x=-16$[/tex] B. [tex]$x=-4$[/tex] C. [tex]$x=4$[/tex] D. [tex]$x=16$[/tex]
[Answered] If [tex]f(x)=2x[/tex] and [tex]g(x)=5x+2[/tex], what is [tex](f \div g)(x)[/tex] when [tex]x=3[/tex]?
[Answered] Subtract and simplify if necessary. [tex] \begin{array}{l} 1. 1 \frac{3}{10}-\frac{9}{10}= \\ 2. 7 \frac{4}{9}-\frac{7}{9}= \\ 3. 8 \frac{2}{5}-2 \frac{3}{5}= \\ 4. 11 \frac{2}{7}-6= \end{array} [/tex]
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