Questions in mathematics

Questions in mathematics

📝 Answered - $4 \frac{1}{6} \times 6 \frac{2}{5}$

📝 Answered - Write the point-slope form of the line satisfying the given conditions. Then use the point-slope form to write the slope-intercept form of the equation. Slope = 4, passing through (-7,3)

📝 Answered - If [tex]u(x)=x^5-x^4+x^2[/tex] and [tex]v(x)=-x^2[/tex], which expression is equivalent to [tex](\frac{u}{v})(x)[/tex]? A. [tex]x^3-x^2[/tex] B. [tex]-x^3+x^2[/tex] C. [tex]-x^3+x^2-1[/tex] D. [tex]x^3-x^2+1[/tex]

📝 Answered - Gary tried to solve an equation: [tex]\begin{array}{rlr} \frac{e}{4} & =2.5 & \\ \frac{e}{4} \cdot 4 & =2.5 \cdot 4 & \text { Setting up } \\ e & =8 & \text { Calculating } \end{array}[/tex] Where did Gary make his first mistake? A. Setting up B. Calculating C. Gary correctly solved the equation.

📝 Answered - Four runners, Fran, Gloria, Haley, and Imani, compete on a relay team. Haley is the first runner in the relay. The other runners can run in any order. What is the sample space showing the possible orders of the other three runners? A. [tex]$S =\{ FGI , GFI , IFG \}$[/tex] B. [tex]$S =\{ FGI , FIG , GFI , GIF \}$[/tex] C. [tex]$S =\{ FGI , FIG , GFI , GIF , IFG , IGF \}$[/tex] D. [tex]$S =\{ FGI , FIG , GFI , GIF , HFG , HGI , IFG , IGF \}$[/tex]

📝 Answered - A system of equations has no solution. If [tex]y=8x+7[/tex] is one of the equations, which could be the other equation? A. [tex]2y=16x+14[/tex] B. [tex]y=8x-7[/tex] C. [tex]y=-8x+7[/tex] D. [tex]2y=-16x-14[/tex]

📝 Answered - 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]v=\left(\frac{m}{m+n}\right)\left(v_2-v_1\right)+v_1[/tex]

📝 Answered - The main cable of a suspension bridge forms a parabola, described by the equation $y=a(x-h)^2+k$, where $y$ is the height in feet of the cable above the roadway, $x$ is the horizontal distance in feet from the left bridge support, $a$ is a constant, and ($h, k$) is the vertex of the parabola. At a horizontal distance of 30 ft, the cable is 15 ft above the roadway. The lowest point of the cable is 6 ft above the roadway and is a horizontal distance of 90 ft from the left bridge support. Which quadratic equation models the situation correctly?

📝 Answered - Find a rational zero of the polynomial function and use it to find all the zeros of the function. [tex]f(x)=x^4-4 x^3+13 x^2+64 x-464[/tex]

📝 Answered - Solve $-8x = 56$ for $x$.