3 years ago

What's the reciprocal of 2 4/7 ?

Mathematics

1 answer:

Gnom [1K]3 years ago

4 0

Answer:

7/18

Step-by-step explanation:

² $\frac{4}{7}$ =((2*7)+4)/7

2*7=14

14+4=18

18/7⇒7/18

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The quantity y varies directly with the square of x and inversely with z. When x is 9 and z is 27, y is 6. What is the constant

ira [324]

$\bf \qquad \qquad \textit{double proportional variation}
\\\\
\begin{array}{llll}
\textit{\underline{y} varies directly with \underline{x}}\\
\textit{and inversely with \underline{z}}
\end{array}\implies y=\cfrac{kx}{z}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------$

$\bf \stackrel{\textit{\underline{y} varies directly with the square of \underline{x} and inversely with \underline{z}}}{y=\cfrac{kx^2}{z}}
\\\\\\
\textit{we also know that }
\begin{cases}
x=9\\
z=27\\
y=6
\end{cases}\implies 6=\cfrac{k9^2}{27}
\\\\\\
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Read 2 more answers

PLEASE ANSWER THIS QUESTION AND EXPLAIN IF YOU CAN

jekas [21]

Factor out -1
-1(x^2+x-6)

Factor the inner trinomial
-1(x+3)(x-2)

Final answer: B

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