3 years ago

The equations are

Mathematics

1 answer:

Temka [501]3 years ago

5 0

Answer:

option one

Step-by-step explanation:

the y intercept is at 5 and the slope is change in y over change in x and as y goes down 3 x goes up 1. -3/1=-3

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Number Line<br> B is between A and C. AB= 12 and BC= 17. what is the length of AC?

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Answer:

Step-by-step explanation:

AB+BC=AC

12+17=29=AC

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3 years ago

Two more than a number n equals -6.

Elenna [48]

Answer:

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Step-by-step explanation:

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2 years ago

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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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4 years ago

The net below has dimensions l = 14 feet, w = 7 feet, and h = 13 feet. How will the surface area of the figure change if the wid

Serjik [45]

27 feet because is the equal

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3 years ago

If 3 times a number is decreased by 12, the result is 5

Nadusha1986 [10]

3 times a # (# isn't specified, so you should use a variable): 3x
result is 5: =5
Put it all together: 3x=5

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3 years ago