Questions in mathematics

Questions in mathematics

[Free] If $f(x)=|x|+9$ and $g(x)=-6$, which describes the range of $(f+g)(x)$? A. $(f+g)(x) \geq 3$ for all values of $x$ B. $(f+g)(x) \leq 3$ for all values of $x$ C. $(f+g)(x) \leq 6$ for all values of $x$ D. $(f+g)(x) \geq 6$ for all values of $x$

[Free] Solve the nonlinear inequality. Express the solution using interval notation. [tex]$\frac{x+8}{3 x-1} \geq 0$[/tex]

[Free] Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two sides measure 13 cm each. One diagonal, $\overline{E G}$, measures 24 cm. What is the length of the other diagonal, $\overline{ DF }$? A. 5 cm B. 16 cm C. 21 cm D. 32 cm

[Free] Add: a) $(3+2 i)+(5+6 i)$ b) $2 \sqrt{5}+7 \sqrt{5}$ c) $\sqrt{-27}+\sqrt{-12}$

[Free] Which summation is equal to the following? [tex]$\sum_{n=37}^{75} 3 n^2$[/tex] A. [tex]$3 \sum_{n=37}^{75} n^2$[/tex] B. [tex]$3 n \sum_{n=37}^{75} n$[/tex] C. [tex]$\sum_{n=37}^{75} 3+\sum_{n=37}^{75} n^2$[/tex] Which is equivalent to the following? D. [tex]$3 \sum_{n=37}^{75} n^2$[/tex] E. [tex]$3\left[\sum_{n=1}^{75} n^2-\sum_{n=1}^{37} n^2\right]$[/tex] F. [tex]$3\left[\sum_{n=37}^{75} n^2-\sum_{n=1}^{36} n^2\right]$[/tex] G. [tex]$3\left[\sum_{n=1}^{75} n^2\right]-\sum_{n=1}^{36} n^2$[/tex] H. [tex]$3\left[\sum_{n=1}^{75} n^2-\sum_{n=1}^{36} n^2\right]$[/tex]

[Free] Convert the following expression to exponential form: [tex]$\sqrt[11]{b^2}$[/tex]

[Free] Solve the inequality. [tex]2(4 x-3) \geq-3(3 x)+5 x[/tex] A. [tex]x \geq 0.5[/tex] B. [tex]x \geq 2[/tex] C. [tex](-\infty, 0.5][/tex] D. [tex](-\infty, 2][/tex]

[Free] Factor by grouping. $7 z^2+21 z-a z-3 a$

[Free] Find the simplified product: [tex]\sqrt[3]{9 x^4} \cdot \sqrt[3]{3 x^8}[/tex]

[Free] For a standard normal distribution, find: [tex]$P(0.66\ \textless \ z\ \textless \ 1.84)$[/tex] Express the probability as a decimal rounded to 4 decimal places.