Mathematics: 1.find the constant of variation for the relationship f(x)= 30x. a.10 b.30 c.x d.f(x)2.find the constant of variation for the relationship shown in the following table: x 1 2 3 4y 4 8 12 16a.1 b.2 c.3 d.43.if f(x) varies directly with x, and f(x) = 8 when x = 6, write the direct linear variation equation. a.f(x) = x b.f(x) = 6x c.f(x) = 8x d.f(x) = x4.if f(x) varies directly with x, and f(x) = 56 when x = 8, find the value of f(x) when x = 2a.4 b.7 c.8 d.145.which does not show a direct variation

1.find the constant of variation for the relationship

Ответ:

pennygillbert

30.12.2021

$(1)\\ f(x)=30x\ \ \ \Leftrightarrow\ \ \ \frac{f(x)}{x} =30\ \ \ \Rightarrow\ \ \ constant=30\ \ \ \Rightarrow\ \ \ Ans.\ B.\\\\(2)\\consatnt= \frac{y}{x} = \frac{4}{1} =4\ \ \ \Rightarrow\ \ \ Ans.\ D.\\\\(3)\\f(x)=m\cdot x\ \ \ and\ \ \ f(6)=8\\\\m\cdot6=8\ \ \ \Rightarrow\ \ \ m= \frac{8}{6} = \frac{4}{3} \ \ \ \Rightarrow\ \ \ y= \frac{4}{3}x\ \ \ \ Ans.\ (?)$

$(4)\\f(x)=m\cdot x\ \ and\ \ f(8)=56\\\\m\cdot8=56\ \ \Leftrightarrow\ \ m= \frac{56}{8} =7\ \ \Rightarrow\ \ \ f(x)=7x\ \ \ \Rightarrow\ \ \ f(2)=7\cdot2=14\\\\Ans.\ D.\\\\(5)\\direct:\ \ y=m\cdot x\ \ \ and\ \ \ m\in R\\e.g.:\ \ y=2x,\ \ y=0.5x,\ \ y= \frac{x}{7}= \frac{1}{7}x,\ ...\\\\NOT\ direct:\ \ \ e.g.:\ \ y= \sqrt{x} ,\ \ y= \frac{1}{x},\ \ y=x^2,\ ...$

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Ответ:

robert7248

16.10.2020

Mathematics

60 degrees

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