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aniked [119]
2 years ago
13

Rewrite each of the following linear equation in equivalent y=mx+b

Mathematics
1 answer:
aev [14]2 years ago
8 0
You are given a line is standard form, so to transform it to the slope-intercept form, you simply have to solve it for y, and you will have y=mx+b.

2y-3x=10  add 3x to both sides

2y=3x+10  divide both sides by 2

y=1.5x+5,  since y=mx+b, m=slope and b=y-intercept

slope=1.5 and the y-intercept is, technically the point, (0, 5)
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16-2t=3/2t+9 solve for t
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answer: t=2

steps:

16-2t = 3/2t+9

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7 = 3/2t + 4/2t

7 = 7/2t

7/2t = 7

(2/7)7/2t=7(2/7)

t=7(2/7)

t=2

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1 year ago
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Answer:

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Step-by-step explanation:

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The ratio is 12:28. Or in fraction form it’s 12/28. You can also simplify it to 3/7
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Read 2 more answers
Express the given quantity as a single logarithm and simplify: 3logx+2log(y-2)-5logx
storchak [24]
Simplify each term<span>.</span>
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Simplify <span>2log(y−1)</span><span> by moving </span>2<span> inside the </span>logarithm<span>. 
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</span><span>log(<span>x^3</span>)+log(y(y)+y(−1)−1(y)−1(−1))−5log(x)</span><span> 
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</span>Remove the negative exponent<span> by rewriting </span><span>x^<span>−5</span></span><span> as </span><span><span>1/<span>x^5</span></span>.</span><span> 
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</span>Combine<span> logs to get </span><span>log(<span><span><span>x^3</span>(<span>y^2</span>−2y+1)/</span><span>x^5</span></span>)</span><span> 
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</span>Rewrite 1<span> as </span><span><span>1^2</span>.</span> 
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Factor<span> by </span>perfect square<span> rule. 
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Replace into larger expression<span>. 
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<span>log(<span><span>(y−1<span>)^2/</span></span><span>x^2</span></span>)</span> 
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