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Lisa [10]
4 years ago
15

Difference and similarities between standard and factored form

Mathematics
1 answer:
Gre4nikov [31]4 years ago
8 0
Similarities:they both mean the the same .
diferferences:they have different equations.
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Please, help meeeeee
aalyn [17]

Answer:

y = 500x + 1000

Step-by-step explanation:

The standadrd equation of a line is expressed as y = mx+b

m is the slope

is the y-intercept

Using the coordinate points (0, 1000) and (6, 4000)

Slope = y2-y1/x2-x1

Slope  = 4000 - 1000/6-0

Slope m = 3000/6

Slope m = 500

Since the line cut the y axis at y = 1000, hence the intercept b = 1000

Get the required equation;

Reall that y = mx+b

y = 500x + 1000

3 0
3 years ago
What kind of equations have the greatest outputs?
stepladder [879]

Answer:

Exponential

Step-by-step explanation:

8 0
3 years ago
5. Find the general solution to y'''-y''+4y'-4y = 0
CaHeK987 [17]

For any equation,

a_ny^(n)+\dots+a_1y'+a_0y=0

assume solution of a form, e^{yt}

Which leads to,

(e^{yt})'''-(e^{yt})''+4(e^{yt})'-4e^{yt}=0

Simplify to,

e^{yt}(y^3-y^2+4y-4)=0

Then find solutions,

\underline{y_1=1}, \underline{y_2=2i}, \underline{y_3=-2i}

For non repeated real root y, we have a form of,

y_1=c_1e^t

Following up,

For two non repeated complex roots y_2\neq y_3 where,

y_2=a+bi

and,

y_3=a-bi

the general solution has a form of,

y=e^{at}(c_2\cos(bt)+c_3\sin(bt))

Or in this case,

y=e^0(c_2\cos(2t)+c_3\sin(2t))

Now we just refine and get,

\boxed{y=c_1e^t+c_2\cos(2t)+c_3\sin(2t)}

Hope this helps.

r3t40

5 0
4 years ago
Subject is Math pls help look at the photo :)
Stels [109]
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These would be your answers
5 0
3 years ago
Describe fully the single transformation that maps triangle A onto triangle B
Anvisha [2.4K]

Answer:

180 degree clockwise rotation about center and a dilation of 0.5.

5 0
3 years ago
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