Questions in mathematics

Questions in mathematics

📝 Answered - Solve this formula for $y$: $\begin{array}{l} 5 x+4 y=-1 \\ y=\frac{-6}{4} \end{array}$

📝 Answered - Which of the following is the radical expression of ${ }_{a^a}$ ? $4 a^9$ $9 a^4$ $\sqrt[4]{a^9}$ $\sqrt[9]{a^4}$

📝 Answered - What is the range of the function $f(x)=-(x+3)^2+7$? A. all real numbers less than or equal to 7 B. all real numbers greater than or equal to 7 C. all real numbers less than or equal to -3 D. all real numbers greater than or equal to -3

📝 Answered - Find the mean, variance, and standard deviation for each of the values of [tex]$n$[/tex] and [tex]$p$[/tex] when the conditions for the binomial distribution are met. Round your answers to three decimal places as needed. Part 1 of 4 (a) [tex]$n=118, p=0.74$[/tex] [tex]\begin{aligned}\text { Mean: } \mu & =87.320 \\ \text { Variance: } \sigma^2 & = \square \\ \text { Standard deviation: } \sigma & =4.766 \end{aligned}$[/tex]

📝 Answered - Example: [tex]\begin{array}{l} -2 x^2+4 x+70=0 \\ -2\left(x^2-\ldots x-\ldots\right)=0 \\ -2(x-\ldots)(x+\ldots)=0 \\ x-\ldots=0 \text { and } x+\ldots= \\ x=\ldots \text { and } x= \end{array}[/tex]

📝 Answered - The point $A(-1,4)$ is translated five units right and three units down. Which rule describes the translation? A. $(x, y) \rightarrow(x+5, y+3)$ B. $(x, y) \rightarrow(x+5, y-3)$ C. $(x, y) \rightarrow(x+3, y+5)$ D. $(x, y) \rightarrow(x-3, y+5)$

📝 Answered - What is the value of the expression [tex]$i^0 \times i^1 \times i^2 \times i^3 \times i^4$[/tex]?

📝 Answered - Which expression represents the second partial sum for $\sum_{n=1}^{\infty} 3\left(\frac{1}{2}\right)^{n-1}$ ? A. $3\left(\frac{1}{2}\right)^0+3\left(\frac{1}{2}\right)^1$ B. $3\left(\frac{1}{2}\right)^1+3\left(\frac{1}{2}\right)^2$ C. $\frac{1}{2}(3)^0+\frac{1}{2}(3)^1$ D. $\frac{1}{2}(3)^1+\frac{1}{2}(3)^2$

📝 Answered - What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point $(-3,1)$? $y-1=-\frac{3}{2}(x+3)$ $y-1=-\frac{2}{3}(x+3)$ $y-1=\frac{2}{3}(x+3)$ $y-1=\frac{3}{2}(x+3)$

📝 Answered - Which expression is equivalent to $\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}$ ? Assume $y \neq 0$. A. $\left(x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)$ B. $\left(x^{\frac{2}{7}}\right)\left(y^{\frac{5}{3}}\right)$ C. $\left(x^{\frac{2}{7}}\right)\left(y^{\frac{3}{5}}\right)$ D. $\left(x^{\frac{7}{2}}\right)\left(y^{-\frac{5}{3}}\right)$