Questions in mathematics

Questions in mathematics

[Free] Which of the following is a like radical to [tex]$3 x \sqrt{5}$[/tex]? [tex]$\sqrt{5 y}$[/tex] [tex]$3(\sqrt[3]{5 x})$[/tex] [tex]$x(\sqrt[3]{5})$[/tex] [tex]$y \sqrt{5}$[/tex]

[Free] Rewrite $\sqrt[5]{4} \cdot \sqrt{2}$ as a single radical.

[Free] Find y without using tables. If 2 + log₂ 3 + log₂ y = log₂ 5 + 1

[Free] The equation of function \(f\) is given below. \[f(x)=2 x^2+x+1\] What is the value of \(f(-3)\)?

[Free] Which equation represents a line that passes through $(-9,-3)$ and has a slope of $-6$? A. $y-9=-6(x-3)$ B. $y+9=-6(x+3)$ C. $y-3=-6(x-9)$ D. $y+3=-6(x+9)$

[Free] What are the $x$- and $y$-coordinates of point $E$, which partitions the directed line segment from $A$ to $B$ into a ratio of $1:2$? [tex]x=\left(\frac{m}{m+n}\right)\left(x_2-x_1\right)+x_1[/tex] [tex]y=\left(\frac{m}{m+n}\right)\left(v_2-v_1\right)+v_1[/tex]

[Free] Melinda works at a cafe. Each day that she works, she records $x$, the total dollar amount of her customers' bills and then $y$, her total daily wages. The table shows her data for 2 weeks. | | | | --- | --- | | x | y | | 50 | 36 | | 100 | 43 | | 75 | 38 | | 80 | 40 | | 90 | 42 | | 140 | 50 | | 150 | 60 | | 95 | 43 | | 125 | 46 | | 160 | 50 | | 165 | 55 | According to the line of best fit, what is the minimum amount, to the nearest dollar, Melinda will earn for each day of work, even if she serves no customers? A. $18 B. $26 C. $36 D. $40

[Free] Balloon Payment Mortgage | Mortgage amount | $170,000 | | --- | --- | | Term | 8 years | | Interest rate | 4% | | Monthly payment | $811.61 for 95 months | | Balloon payment | $143,152.99 | | Total Interest | $50,256 | | Total Payment | $220,256 | According to the chart, the initial monthly payment Demarco and Tanya should anticipate paying on principal and interest is [ ]. They should budget $400 for insurance and tax payments, so the total amount they should anticipate paying monthly is [ ].

[Free] $f(x)=x+3$ and $g(x)=x-3$ (a) $f(g(x))=$ $\square$ (b) $g(f(x))=$ $\square$ (c) Thus $g(x)$ is called an $\square$ function of $f(x)

[Free] Solve for $x$. $2000=500 e^{4 x}$ A. $x=\ln (4)-4$ B. $x=\frac{1}{e}$ C. $x=\frac{\ln (4)}{4}$ D. $x=\frac{\ln (2000)}{4 \cdot \ln (500)}$