Questions in mathematics

Questions in mathematics

📝 Answered - Which expression is equivalent to [tex]$\sum_{n=10}^{15}\left(n+\frac{3}{n}\right)$[/tex] ? A. [tex]$\sum_{n=10}^{15} n+\sum_{n=10}^{15} \frac{3}{n}$[/tex] B. [tex]$\sum_{n=10}^{15} n+\sum_{n=10}^{15} \div \sum_{n=10}^{15} n$[/tex] C. [tex]$n \sum_{n=10}^{15} \frac{3}{n}$[/tex] D. [tex]$\frac{3}{n} \sum_{n=10}^{15} n$[/tex]

📝 Answered - What are the $x$- and $y$-coordinates of point P on the directed line segment from $K$ to $J$ such that $P$ is $\frac{3}{5}$ the length of the line segment from K to J? $x=\left(\frac{m}{m+n}\right)\left(x_2-x_1\right)+x_1$ $y=\left[\frac{m}{m+n}\right]\left(y_2-y_1\right)+y_1$ A. $(40,96)$ B. $(85,105)$ C. $(80,104)$ D. $(96,72)$

📝 Answered - Triangle $Q R S$ has vertices $Q(8,-6), R(10,5)$, and $S(-3,3)$. What are the coordinates of the vertices of the image of the triangle after a translation of $T_{-7.6,4.3}(x, y)$? $Q^{\prime}=$ $R^{\prime}=$ $S^{\prime}=$

📝 Answered - If [tex]s(x)=2-x^2[/tex] and [tex]t(x)=3 x[/tex], which value is equivalent to [tex](s \circ t)(-7)[/tex] ? A. -439 B. -141 C. 153 D. 443

📝 Answered - b) $(25: 5) \cdot \sqrt{9}-3.2$

📝 Answered - Which expression is equivalent to $\sqrt[4]{144 a^{12} b^3}$ ? Assume $a \geq 0$ and $b \geq 0$. A. $2 a^3(\sqrt[4]{9 b^3})$ B. $2 a^4 b(\sqrt[4]{18})$ C. $12 a^3(\sqrt[4]{b^3})$ D. $12 a^6 b(\sqrt[4]{b})$

📝 Answered - 400 - [(18 × 5) + (5 × 20)] =

📝 Answered - The expression y = -2(x + 3)^2 + 6 is equivalent to ax^2 + bx + c, where a < 0 and b < 0. What is the value of c?

📝 Answered - The table represents a logarithmic function [tex]f(x)[/tex]. | x | y | | -------- | --- | | [tex]\frac{1}{125}[/tex] | -3 | | [tex]\frac{1}{25}[/tex] | -2 | | [tex]\frac{1}{5}[/tex] | -1 | | 1 | 0 | | 5 | 1 | | 25 | 2 | | 125 | 3 | Use the description and table to graph the function and determine the domain and range of [tex]f(x)[/tex]. Represent the domain and range with inequality notation, interval notation, or set-bulder notation. Explain your reasoning.

📝 Answered - Which of the following graphs could be the graph of the function [tex]$f(x)=x^3+8$[/tex]?