HRS - Ask. Learn. Share Knowledge. Logo

Questions in mathematics

[Done] The table below represents the number of math problems Jana completed as a function of the number of minutes since she began doing her homework. Does this situation represent a linear or non-linear function, and why? | Minutes | Math Problems Completed | |---|---| | 1 | 3 | | 2 | 7 | | 3 | 12 | | 4 | 16 | | 5 | 19 | A. It represents a linear function because there is a constant rate of change. B. It represents a linear function because there is not a constant rate of change. C. It represents a non-linear function because there is a constant rate of change. D. It represents a non-linear function because there is not a constant rate of change.

[Done] Each week, Rosario drives to an ice-skating rink that is 60 miles away. The round-trip takes 2.75 hours. If he averages 55 miles per hour on his way to the rink, which equation can be used to find [tex]$x$[/tex], the number of miles per hour he averages on his way home? [tex]$\frac{60}{55}+\frac{60}{x}=2.75$[/tex] [tex]$(\frac{60}{55})(\frac{60}{x})=2.75$[/tex] [tex]$60(55)+60 x=2.75$[/tex] [tex]$[60(55)](60 x)=2.75$[/tex]

[Done] Select the equations that contain the point $(-3,5)$. $y=-3 x+5$ $y=-3 x-4$ $y=-x+2$ $y=-x+5$

[Done] Which of the following represents the factorization of the trinomial below? [tex]x^2-12 x+20[/tex] A. [tex](x-4)(x-5)[/tex] B. [tex](x-2)(x-10)[/tex] C. [tex](x+4)(x-5)[/tex] D. [tex](x-4)(x-5)[/tex]

[Done] What is the center of a circle represented by the equation $(x+9)^2+(y-6)^2=10^2$? A. $(-9,6)$ B. $(-6,9)$ C. $(6,-9)$ D. $(9,-6)$

[Done] Differentiate $y=\log _{10} x$

[Done] Calculate smartly $(100+3) \times 24$

[Done] What is the $y$-intercept of the function $f(x)=-\frac{2}{9} x+\frac{1}{3}$?

[Done] If [tex]f(x)=-x^2+6 x-1[/tex] and [tex]g(x)=3 x^2-4 x-1[/tex], find [tex](f-g)(x)[/tex] A. [tex](f-g)(x)=4 x^2-10 x[/tex] B. [tex](f-g)(x)=-4 x^2-2 x[/tex] C. [tex](f-g)(x)=2 x^2+2 x-2[/tex] D. [tex](f-g)(x)=-4 x^2+10 x[/tex]

[Done] Work out $5 \frac{1}{2}+\frac{3}{4}$. Give your answer in its simplest form.