Questions in mathematics

Questions in mathematics

[Free] The zeros of a quadratic function are the $x$-values where the graph of the quadratic function crosses the $x$-axis. Move the sliders for $a$ and $b$, and notice how the $x$-intercepts, or zeros, always match the values of $a$ and $b$. $y=(x-a)(x-b)$ a. 0 b. 0

[Free] What is the value of the 7th term in [tex]$(2 x+y)^9$[/tex]?

[Free] A cylinder has a volume of $288 \pi$ cubic meters and a height of 9 meters. What is the area of the base? A. $32 \pi$ square meters B. $18 \pi$ square meters C. $279 \pi$ square meters D. $2,592 \pi$ square meters

[Free] Dalia flies an ultralight plane with a tailwind to a nearby town in [tex]$1 / 3$[/tex] of an hour. On the return trip, she travels the same distance in 3/5 of an hour. What is the average rate of speed of the wind and the average rate of speed of the plane? Initial trip: [tex]$3 / 5$[/tex] hours Return trip: Let [tex]$x$[/tex] be the average airspeed of the plane. Let [tex]$y$[/tex] be the average wind speed. Initial trip: [tex]$18=(x+y) \frac{1}{3}$[/tex] Return trip: [tex]$18=(x-y) \frac{3}{5}$[/tex] Dalia had an average airspeed of [ ] miles per hour. The average wind speed was [ ] miles per hour.

[Free] If A, then B' is the form of a A. false B. conditional C. true D. deductive statement.

[Free] Solve the system of equations: [tex] \begin{array}{l} x=3 y+1 \\ 2 x+4 y=12 \end{array} [/tex]

[Free] The point $A(-5,3)$ and the point $B$ have midpoint $(4,-2)$. Find the coordinates of $B$.

[Free] Which statements are true for the functions [tex]g(x)=x^2[/tex] and [tex]h(x)=-x^2[/tex]? Check all that apply. A. For any value of [tex]x[/tex], [tex]g(x)[/tex] will always be greater than [tex]h(x)[/tex]. B. For any value of [tex]x[/tex], [tex]h(x)[/tex] will always be greater than [tex]g(x)[/tex]. C. [tex]g(x)\ \textgreater \ h(x)[/tex] for [tex]x=-1[/tex]. D. [tex]g(x)\ \textless \ h(x)[/tex] for [tex]x=3[/tex]. E. For positive values of [tex]x[/tex], [tex]g(x)\ \textgreater \ h(x)[/tex]. F. For negative values of [tex]x[/tex], [tex]g(x)\ \textgreater \ h(x)[/tex].

[Free] $-\frac{6}{7}+\left(-\frac{4}{7}\right)$

[Free] Solve the system for $x$ and $y$. $\begin{array}{l} 7 x+8 y=26 \\ -12 x-7 y=-58 \end{array}$ A. $(14,-9)$ B. $(-2.5)$ C. $(6,-2)$ D. $(-1.10)$