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3 years ago

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(

Temka [501]

The particular quadratic solution to the ODE is found as follows:

$x=at^2+bt+c$
$x'=2at+b$

$(2at+b)+2(at^2+bt+c)=t^2+4t+7$
$2at^2+(2a+2b)t+(b+2c)=t^2+4t+7$

$\begin{cases}2a=1\\2(a+b)=4\\b+2c=7\end{cases}\implies a=\dfrac12,b=\dfrac32,c=\dfrac{11}4$

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

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

so that $x_c=Ce^{-2t}$ is a characteristic solution to the ODE, and the general solution would be

$x=Ce^{-2t}+\dfrac{t^2}2+\dfrac{3t}2+\dfrac{11}4$

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3 years ago

What is the first consecutive even integer that follows -6

Gnoma [55]

-4 is the first consecutive even integer following -6

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3 years ago

Read 2 more answers

Solve for n p=-5m+7n-3

Galina-37 [17]

7n = p+5m+3
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2 years ago

HELP PLEASE! L-> 2in. W-> 2 1/2.in H-> 1 1/2 V-> ?

sineoko [7]

Answer:

= 7.5 in^3, if the question is as interpreted below.

Step-by-step explanation:

Is the question to determine the volume of a container with dimensions 2 x 2.5 x 1.5 (all inches)?

If so, Volume = (2)*(2.5)*(1.5)

= 7.5 in^3

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1 year ago

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<h3>My friends the answer is 3.</h3>

24.95 + 18.96 + 17.55 + 23.14 + 12.00 + 96.60

4 divided by 12 is 3

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2 years ago