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Igoryamba
3 years ago
7

Consider the system of equations. y = –5x – 1 y = 2x + 6 Choose the correct answer to each question. What is the slope of the fi

rst line? What is the slope of the second line? How many times do the lines intersect? How many solutions does the system have?
Mathematics
2 answers:
andrew-mc [135]3 years ago
6 0

Answer:

Step-by-step explanation:

-5x - 1 = 2x + 6

-7x - 1 = 6

-7x = 7

x = -1

y = 2(-1) + 6

y = -2 + 6

y = 4

(-1, 4)

Alex_Xolod [135]3 years ago
4 0

What is the slope of the first line?  

✔ –5

What is the slope of the second line?  

✔ 2

How many times do the lines intersect?  

✔ 1

How many solutions does the system have?  

✔ 1

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In around 6.35 years, the population will be 1 million.

<h3> how many years will it take for the population to reach one million?</h3>

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If we apply the natural logarithm to both sides:

ln(e^{0.23*t}) = ln(4.31)\\\\0.23*t = ln(4.31)\\\\t = ln(4.31)/0.23 = 6.35

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If you want to learn more about exponential equations:

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Supposing that |y|, we have \tan^{-1}u=y, from which it follows that

\sin2y=2\sin y\cos y=2\dfrac u{\sqrt{u^2+1}}\dfrac1{\sqrt{u^2+1}}=\dfrac{2u}{u^2+1}
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So we can write the ODE as

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You should end up with

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