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tamaranim1 [39]
3 years ago
5

Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "

not proportional" into the box.
X 0 2 4 6
Y 0 3 6 9

what the answers could be. 1/2, 3, 2, 3/2, not proportional
Mathematics
1 answer:
Travka [436]3 years ago
3 0

Answer:  3/2

Step-by-step explanation:

Since, two variables are called proportional if there is always a constant ratio between them.

And, The constant is called the coefficient of proportionality or proportionality constant.

Let x and y are  proportional to each other.

Therefore, x ∝ y ⇒ y=kx

Where k is any constant.

For, x=2 and y=3 k= 3/2

For, x=4 and y=6, k=3/2

For x=6 and y=9, k= 3/2

Since, here the value of k is constant.

Therefore, k is the coefficient of proportionality.

And, given table is propositional.


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Nadusha1986 [10]
\bf \begin{cases}
\quad3x+2y=-9\\
-10x+5y=-5
\end{cases}

so hmm the idea behind the elimination, is to make the value atop or below, of either variable, the same but with a negative sign

so hmmm say... we'll eliminate "y"

so... let's see, we have 2y and 5y, both positive
what do we multiply 2y to get a negative -5y, that way, -5y +5y = 0 and poof it goes

well let's see, let's try "k"     \bf 2yk=-5y\implies k=-\cfrac{5y}{2y}\implies k=-\cfrac{5}{2}

so.. if we multiply 2y by -5/2, we'll end up with -5y

well, let's multiply that first equation then by -5/2

\bf \begin{array}{rllll}
3x+2y=-9&\qquad\times -\frac{5}{2}\implies &-\frac{15}{2}x-5y=\frac{45}{2}\\\\
-10x+5y=-5&\implies &-10x+5y=-5\\
&&---------\\
&&\frac{-35}{2}x+0\quad=\frac{35}{2}
\end{array}\\\\
-----------------------------\\\\
\cfrac{-35}{2}x=\cfrac{-35}{2}\implies \cfrac{-35x}{2}=\cfrac{-35}{2}\implies x=\cfrac{2}{-35}\cdot \cfrac{-35}{2}
\\\\\\
\boxed{x=1}

so.. now we know x = 1.... so let's plug that in  say hmmm 2nd equation

\bf -10(1)+5y=-5\implies -10+5y=-5\implies 5y=5\implies\boxed{ y=1}
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3 years ago
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