Convert 11.42424242 … to a rational expression in the form of a over b, where b ≠ 0.

Let x = 0.424242... . Then 100x = 42.424242... . So we can write

100x - x = 99x = 42.424242... - 0.424242... = 42

which means

x = 42/99 = 14/33

and so

11.424242... = 11 + 14/33 = 377/33

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

h/o/e/s mad

step-by-step explanation:

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