3 years ago

What is the answer to a situation that could be modeled with the ratio 4 to 1

Mathematics

1 answer:

Tju [1.3M]3 years ago

4 0

For every 4 hotdogs there is 1 hamburger being sold.

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If f(x)=x2-2x-8 and g(x)=1/4x-1 for which value of x is f(x)=g(x)

fomenos

$f(x)=x^2-2x-8;\ g(x)=\dfrac{1}{4}x-1\\\\f(x)=g(x)\iff x^2-2x-8=\dfrac{1}{4}x-1\qquad\text{multiply both sides by 4}\\\\4x^2-8x-32=x-4\qquad\text{subtract x from both sides}\\\\4x^2-9x-32=-4\qquad\text{add 4 to both sides}\\\\4x^2-9x-28=0\\\\4x^2-16x+7x-28=0\\\\4x(x-4)+7(x-4)=0\\\\(x-4)(4x+7)=0\iff x-4=0\ \vee\ 4x+7=0\\\\x=4\ \vee\ 4x=-7\\\\\boxed{x=4\ \vee\ x=-\dfrac{7}{4}}$