Manuel played an arcade game that cost 25 tokens per game. in six games, manuel won 0 tokens, 10 tokens, 50 tokens, 0 tokens, 5 tokens, and 10 tokens. what is the change in the number of tokens manuel has?

For [tex]f(x) = 4x + 1[/tex] and (x) = [tex]g(x)= x^{2} -5,[/tex] find [tex](\frac{g}{f}) (x)[/tex]a. [tex]\frac{x^{2} - 5 }{4x +1 },x[/tex] ≠ [tex]-\frac{1}{4}[/tex]b. x[tex]\frac{4 x +1 }{x^{2} - 5}, x[/tex] ≠ ± [tex]\sqrt[]{5}[/tex]c. [tex]\frac{4x +1}{x^{2} -5}[/tex]d.[tex]\frac{x^{2} -5 }{4x + 1}[/tex]

Proving the parallelogram diagonal theoremgiven abcd is a parralelogam, diagnals ac and bd intersect at eprove ae is conruent to ce and be is congruent to de

Below are two different functions, f(x) and g(x). what can be determined about their slopes? f(x)= −1x + 1 the function g(x) going through 0, 3 and 1, 1