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tamaranim1 [39]
3 years ago
12

What is the slope of y = -1+ 3.x?

Mathematics
1 answer:
zysi [14]3 years ago
5 0

Answer:

The slope is 3.

Step-by-step explanation:

y=-1+3x

y=3x-1

y=mx+b where m=slope and b=y-intercept

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Find a solution x = x(t) of the equation x′ + 2x = t2 + 4t + 7 in the form of a quadratic function of t, that is, of the form x(
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The particular quadratic solution to the ODE is found as follows:

x=at^2+bt+c
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(2at+b)+2(at^2+bt+c)=t^2+4t+7
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\begin{cases}2a=1\\2(a+b)=4\\b+2c=7\end{cases}\implies a=\dfrac12,b=\dfrac32,c=\dfrac{11}4

Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:

x'+2x=0\implies r+2=0\implies r=-2

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-4 is the first consecutive even integer following -6<span />
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Galina-37 [17]
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