2 years ago

If x and y vary directly, and x = 12 when y = 4, what is the value of x when y = 1 ?

Mathematics

2 answers:

DerKrebs [107]2 years ago

6 0

Answer: x = 3

Step-by-step explanation:

y for x

4 for 12

1 for ?

Cross multiply

4? = 12 x 1

4? = 12

Divide both sides by 4

? = 3

When y = 1, x = 3.

Hope that helped!

castortr0y [4]2 years ago

4 0

Answer:

Step-by-step explanation:

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Given that f(x)= x2+3 and g(x)= x+4/3 solve for (f(g(x)) when x =2

Savatey [412]

$\bf \begin{cases}
f(x)=x^2+3\\\\
g(x)=x+\cfrac{4}{3}
\end{cases}
\\\\\\
\boxed{x=2}\qquad g(2)=(2)+\cfrac{4}{3}\implies \boxed{g(2)=\cfrac{10}{3}}
\\\\\\
f(~~g(x)~~)=[g(x)]^2+3\implies f(~~g(2)~~)=[g(2)]^2+3
\\\\\\
f(~~g(2)~~)=\left[ \boxed{\frac{10}{3}} \right]^2+3\implies f(~~g(2)~~)=\cfrac{10^2}{3^2}+3
\\\\\\
f(~~g(2)~~)=\cfrac{100}{9}+3\implies f(~~g(2)~~)=\cfrac{100+27}{9}
\\\\\\
f(~~g(2)~~)=\cfrac{127}{9}$