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Questions in mathematics

[Answered] What is the difference between the ratios $\frac{1}{4}$ and $\frac{1}{5}$?

[Answered] The table shows the probabilities of each result. | Result | Win | Draw | Lose | | -------- | ----- | ----- | ----- | | Probability | | 0.05 | 0.3 | Each win is worth 3 points. Each draw is worth 1 point. Each loss is worth 0 points. The football team plays 40 games in a season. Work out how many points the football team should receive in one season.

[Answered] The vertex form of the equation of a parabola is $y=(x-5)^2+16$. What is the standard form of the equation? A. $y=3 x^2-10 x+41$ B. $y=x^2-10 x+41$ C. $y=x^2+x+8$ D. $y=x^2+10 x+16$

[Answered] If f(x) = √(x+12) and g(x) = 2 - √x, what is the value of (f-g)(144)?

[Answered] What is the slope of the line whose equation is $y-4=\frac{5}{2}(x-2)$?

[Answered] What is the value of $\log _7 343$?

[Answered] Kim solved the equation below by graphing a system of equations. [tex]\log _2(3 x-1)=\log _4(x+8)[/tex] What is the approximate solution to the equation? A. 0.6 B. 0.9 C. 1.4 D. 1.6

[Answered] Consider the function [tex]f(x)=8 x+2 x^{-1}[/tex]. For this function there are four important intervals: [tex](-\infty, A][/tex], [tex][A, B)[/tex], [tex](B, C][/tex], and [tex][C, \infty)[/tex] where [tex]A[/tex], and [tex]C[/tex] are the critical numbers and the function is not defined at [tex]B[/tex]. Find [tex]A[/tex], [tex]B[/tex], and [tex]C[/tex].

[Answered] Complete the square to find the vertex of this parabola. [tex]y^2-4 x-8 y-12=0[/tex] ([?], [ ])

[Answered] Reduce the fraction [tex]$36 / 48$[/tex] to its lowest terms.