Questions in mathematics

Questions in mathematics

📝 Answered - If an image of a triangle is congruent to the pre-image, what is the scale factor of the dilation? A. 0.1 B. [tex]$\frac{1}{2}$[/tex] C. 1 D. 10

📝 Answered - Solve for $m$. $m^{\frac{3}{4}}=27$

📝 Answered - Wavelength varies inversely with frequency. Let [tex]$x=$[/tex] wavelength and [tex]$y=$[/tex] frequency. Visible Light Wavelength (m) Frequency (THz) [tex]$k$[/tex] Blue 450 670 301,500 Green 520 580 301,600 Yellow 560 540 302,400 Red 635 480 304,800 The equation that models the relationship between the wavelength and frequency of yellow light is: [blank]

📝 Answered - The point $P(x, y)$ lies on the terminal side of an angle $\theta=\frac{3 \pi}{4}$ in standard position. What are the signs of the values of $x$ and $y$? A. Both $x$ and $y$ are positive. B. Both $x$ and $y$ are negative. C. $x$ is positive, and $y$ is negative. D. $x$ is negative, and $y$ is positive.

📝 Answered - If [tex]f(x)=3 x+2[/tex] and [tex]g(x)=x^2+1[/tex], which expression is equivalent to [tex](f \circ g)(x)[/tex]? A. [tex](3 x+2)(x^2+1)[/tex] B. [tex]3 x^2+1+2[/tex] C. [tex](3 x+2)^2+1[/tex] D. [tex]3(x^2+1)+2[/tex]

📝 Answered - Which equation is a function of $x$? $x=5$ $x-y^2=9$ $x^2=y$ $x^2=y^2+16$

📝 Answered - A local screen-printing company sells T-shirts at various prices, in dollars, depending upon how many T-shirts are bought at the time. The piecewise function below represents their pricing structure, where [tex]$n$[/tex] is the number of [tex]$T$[/tex]-shirts purchased. [tex]y=\left\{\begin{array}{l} 13 n, 0\ \textless \ n \leq 20 \\ 11 n, 20\ \textless \ n \leq 50 \\ 9 n, n\ \textgreater \ 50 \end{array}\right.[/tex] How much did the volleyball team spend on shirts?

📝 Answered - The expression $\frac{y^a y^b \sqrt{y}}{\sqrt[5]{y^7}}$, where $a=\frac{3}{4}$ and $b=-\frac{5}{8}$, is equivalent to $y^c$. What is the value of $c$?

📝 Answered - Evaluate $(h h)\left(\frac{1}{2}\right)$ given that $h(x)=\frac{1}{2 x+4}$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. (hh) $\left(\frac{1}{2}\right)=$ $\square$ (Simplify your answer.) B. The answer is undefined.

📝 Answered - Louise begins factoring the polynomial, which has four terms: [tex] \begin{array}{l} 8 x^3+24 x^2+10 x+30 \\ 2\left(4 x^3+12 x^2+5 x+15\right) \\ 2\left[4 x^2(x+3)+5(x+3)\right] \end{array} [/tex] Which is the completely factored form of her polynomial? A. [tex]2 x\left(4 x^2+5\right)[/tex] B. [tex]2\left(4 x^2+6\right)(x+3)[/tex] C. [tex]2\left(4 x^2+5\right)(x+3)[/tex] D. [tex]2\left(4 x^2+5\right)(x+3)[/tex]