Solve the equation. 4k^2 = 5k

Mathematics

2 answers:

stich3 [128]3 years ago

8 0

The answer is d. 4(1)^2=5(4/5). 4=4.

Mekhanik [1.2K]3 years ago

3 0

The answer is B. Your going to subtract 4k^2 from both sides, which it would be 4k^2-5k=0. Then you going to factor k(4K-5)=0, which k=0 and 4K-5=0 and then k =0 and 4/5

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$\bf \begin{array}{lccclll}
&\stackrel{liters}{amount}&\stackrel{alcohol~\%}{quantity}&\stackrel{liters}{alcohol}\\
&------&------&------\\
\textit{18\% solution}&x&0.18&0.18x\\
\textit{40\% solution}&y&0.40&0.4y\\
------&------&------&------\\
mixture&10&0.20&2
\end{array}$

$\bf \begin{cases}
x+y=10\implies \boxed{y}=10-x\\
0.18x+0.4y=2\\
----------\\
0.18x+0.4\left( \boxed{10-x} \right)=2
\end{cases}
\\\\\\
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\\\\\\
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Step-by-step explanation: