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Leto [7]
3 years ago
7

Which is a solution to the equation 3x^2 + 2x − 20 = 2x^2 + 15?

Mathematics
1 answer:
pychu [463]3 years ago
6 0

the answer is b)-7 or it could be 5

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The sum of +3 & (6-0)=9

-60-(+9)=-69

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Using substitution <br> x+3y=3<br> 3y-2x=12
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Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u>

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  • 3y - 2x = 12

And we need to solve the equation using Substituting method . So on taking the first equation ,

\rm\implies x + 3y = 3 \\\\\rm\implies x = 3 - 3y

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\rm\implies 3y - 2x = 12 \\\\\rm\implies 3y - 2(3-3y)=12\\\\\rm\implies 3y -6-6y = 12 \\\\\rm\implies -3y = 18 \\\\\rm\implies y = -6

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\\\\\rm\implies x = 3-3*-6 \\\\\rm\implies x = 3+18 \\\\\rm\implies x = 21

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4 0
3 years ago
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Suppose that the bacteria in a colony grow unchecked according to the Law of Exponential Change. The colony starts with 1 bacter
inn [45]

Answer: There are 2.25×10³⁴ bacteria at the end of 24 hours.

Step-by-step explanation:

Since we have given that

Number of bacteria initially = 1

It triples in number every 20 minutes.

So, \dfrac{20}{60}=\dfrac{1}{3}

So, our equation becomes

y=y_0e^{\frac{1}{3}k}\\\\3=1e^{\frac{1}{3}k}\\\\\ln 3=\dfrac{1}{3}k\\\\k=\dfrac{1.099}{0.333}=3.3

We need to find the number of bacteria that it will contain at the end of 24 hours.

So, it becomes,

y=1e^{24\times 3.3}\\\\y=e^{79.1}\\\\y=2.25\times 10^{34}

Hence, there are 2.25×10³⁴ bacteria at the end of 24 hours.

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