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katrin2010 [14]
3 years ago
6

Please answer: is y = 4x - 9 a function?

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
4 0

Answer:

Yes.

Step-by-step explanation:

Yes.

y = 4x - 9 is the equation of a line with slope 4and y-intercept -9.

All non-vertical lines are functions.

Since a line with slope 4 is not a vertical line, this relation is a function.

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A metallurgist needs to make 12.4 lb. of an 10) alloy containing 50% gold. He is going to melt and combine one metal that is 60%
sergeinik [125]
Now, let's say, we add "x" lbs of the 60% gold alloy, so..  how much gold is in it?  well, is just 60%, so (60/100) * x, or 0.6x.

likewise, if we use "y" lbs of the 40% alloy, how much gold is in it?  well, 40% of y, or (40/100) * y, or 0.4y.

now, whatever "x" and "y" are, their sum must be 12.4 lbs.

we also know that the gold amount in each added up, must equal that of the 50% resulting alloy.

\bf \begin{array}{lccclll}
&\stackrel{lbs}{amount}&\stackrel{gold~\%}{quantity}&\stackrel{gold}{quantity}\\
&------&------&------\\
\textit{60\% alloy}&x&0.6&0.6x\\
\textit{40\% alloy}&y&0.4&0.4y\\
------&------&------&------\\
\textit{50\% alloy}&12.4&0.50&6.2
\end{array}

\bf \begin{cases}
x+y=12.4\implies \boxed{y}=12.4-x\\
0.6x+0.4y=6.2\\
-------------\\
0.6x+0.4\left( \boxed{12.4-x} \right)=6.2
\end{cases}
\\\\\\
0.6x-0.4x+4.96=6.2\implies 0.2x=1.24\implies x=\cfrac{1.24}{0.2}
\\\\\\
x=\stackrel{lbs}{6.2}

how much of the 40% alloy?  well, y = 12.4 - x.
5 0
3 years ago
Students were asked to choose their favorite sport
r-ruslan [8.4K]

Answer:

5/9-1/9=4/9

Step-by-step explanation:

5/9 chose basketball or soccer. 1/9 chose basketball.

<h3>answer is 4/9</h3>
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2 years ago
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For combining like terms: it is 7z
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Step-by-step explanation:

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2 years ago
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rodikova [14]

Answer:

y=3

Step-by-step explanation:

it is because X=-2 had crossed the point y=3

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