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marysya [2.9K]
2 years ago
5

What is the independent variable in the equation y=-5x+2?

Mathematics
1 answer:
Pepsi [2]2 years ago
3 0

Answer: <em>x</em>

Step-by-step explanation:

    For this equation, the variable <em>y</em> is dependent on the value of<em> x</em>. The value of <em>y</em> changes depending on the value of<em> x</em>. This means that <em>x</em> is the independent variable for this equation.

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Divide line segments
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tis noteworthy that the segment contains endpoints of A and C and the point B is in between A and C cutting the segment in a 1:2 ratio,

\bf \textit{internal division of a line segment using ratios} \\\\\\ A(-9,-7)\qquad C(x,y)\qquad \qquad \stackrel{\textit{ratio from A to C}}{1:2} \\\\\\ \cfrac{A\underline{B}}{\underline{B} C} = \cfrac{1}{2}\implies \cfrac{A}{C}=\cfrac{1}{2}\implies 2A=1C\implies 2(-9,-7)=1(x,y)\\\\[-0.35em] ~\dotfill\\\\ B=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em] ~\dotfill

\bf B=\left(\cfrac{(2\cdot -9)+(1\cdot x)}{1+2}\quad ,\quad \cfrac{(2\cdot -7)+(1\cdot y)}{1+2}\right)~~=~~(-4,-6) \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(2\cdot -9)+(1\cdot x)}{1+2}=-4\implies \cfrac{-18+x}{3}=-4 \\\\\\ -18+x=-12\implies \boxed{x=6} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(2\cdot -7)+(1\cdot y)}{1+2}=-6\implies \cfrac{-14+y}{3}=-6 \\\\\\ -14+y=-18\implies \boxed{y=-4}

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3 years ago
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Luden [163]

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Answer: 400 acres.

Step-by-step explanation:

We know that 598 is very close to 600, so we can round that amount up.

We also know that 67% is very close to \frac{2}{3} because 2÷3≈0.67 & 67%=0.67

So, we can estimate \frac{2}{3} of 600, which is about 400.

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3 years ago
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