Choose the sets of equivalent expressions (select all that apply)

Mathematics

1 answer:

Alex17521 [72]3 years ago

7 0

9514 1404 393

Answer:

B, E, F

Step-by-step explanation:

A. 4x and 5 + x

B. 2b + b and 3b

C. 3x and 3 + x

D. a ÷ 1/3 and 1/3 a

E. a ÷ 1/3 and a × 3

F. 1a and a

_____

Comment on the above

ax is multiplication of x by 'a'. a+x is addition. They are different operations.

x/(1/3) is not the same as x(1/3). Multiplication and division are different operations.

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Which equation is the direct variation equation if f(x) varies directly with x and f(x)=-18 when x=3

Otrada [13]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{f(x)}{y}=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=-18\\
x=3
\end{cases}\implies -18=k3
\\\\\\
\cfrac{-18}{3}=k\implies -6=k\qquad therefore\qquad \boxed{\stackrel{f(x)}{y}=-6x}$