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3 years ago

Solve each equation by graphing. Round to the nearest tenth. -2x^2+2=-3x

Mathematics

1 answer:

AlekseyPX3 years ago

5 0

Answer:

x = -0.5 or x = 2

Step-by-step explanation:

Finding solutions graphically is often easier if the equation can be put in the form f(x) = 0. Here, we can do that by subtracting the right-side expression to give ...

(-2x^2 +2) -(-3x) = 0

This could be put in standard form, but there is no need. A graphing calculator can deal with this directly.

The solutions are x = -0.5 and x = 2.

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Any idea on how to solve this?

hichkok12 [17]

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3 years ago

How do you convert 3/11 to a decimal equivalent using long division

Sidana [21]

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3 years ago

Find a particular solution to the differential equation y′′+2y′+y=2t2−t+3e−2t. y′′+2y′+y=2t2−t+3e−2t.

Jlenok [28]

$y''+2y'+y=2t^2-t+3e^{-2t}$

The characteristic equation is

$r^2+2r+1=(r+1)^2=0\implies r=-1$

so the characteristic solution is

$y_c=C_1e^{-t}+C_2te^{-t}$

For the particular solution, we can try looking for a solution of the form

$y_p=at^2+bt+c+de^{-2t}$
$\implies{y_p}'=2at+b-2de^{-2t}$
$\implies{y_p}''=2a+4de^{-2t}$

Substituting into the ODE, we have

$(2a+4de^{-2t})+2(2at+b-2de^{-2t})+(at^2+bt+c+de^{-2t})=2t^2-t+3e^{-2t}$
$at^2+(4a+b)t+(2a+2b+c)+de^{-2t}=2t^2-t+3e^{-2t}$
$\implies\begin{cases}a=2\\4a+b=-1\\2a+2b+c=0\\d=3\end{cases}\implies a=2,b=-9,c=14,d=3$

So the general solution to the ODE is

$y=y_c+y_p$
$y=C_1e^{-t}+C_2te^{-t}+2t^2-9t+14+3e^{-2t}$

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3 years ago

The law of detachment can be used to draw a conclusion from the following statements: "It will be sunny on Tuesday." "I will alw

algol [13]

This is basically just saying you'll go outside Tuesday because it's sunny. Sunny weather is nice weather.

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3 years ago

The price of a bond is uniformly distributed between $80 and $90. Determine the expected price of the bond

rewona [7]

Answer:

$85 is your answer

Step-by-step explanation:

add both the 80 and 90

80+90=170

then divide by 2

170/2=85

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3 years ago