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3 years ago

Factor. EXAMPLE: (a+2)(5-3) 2n^2 +6n-108

Mathematics

1 answer:

iVinArrow [24]3 years ago

5 0

(a+2)(5-3)2n^2+6n-108

4an^2 + 8n^2 + 6n - 108 is your answer I believe.

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Please help me with the below question.

Snezhnost [94]

6a. By the convolution theorem,

$L\{t^3\star e^{5t}\} = L\{t^3\} \times L\{e^{5t}\} = \dfrac6{s^4} \times \dfrac1{s-5} = \boxed{\dfrac5{s^4(s-5)}}$

6b. Similarly,

$L\{e^{3t}\star \cos(t)\} = L\{e^{3t}\} \times L\{\cos(t)\} = \dfrac1{s-3} \times \dfrac s{1+s^2} = \boxed{\dfrac s{(s-3)(s^2+1)}}$

7. Take the Laplace transform of both sides, noting that the integral is the convolution of $e^t$ and $f(t)$ .

$\displaystyle f(t) = 3 - 4 \int_0^t e^\tau f(t - \tau) \, d\tau$

$\implies \displaystyle F(s) = \dfrac3s - 4 F(s) G(s)$

where $g(t) = e^t$ . Then $G(s) = \frac1{s-1}$ , and

$F(s) = \dfrac3s - \dfrac4{s-1} F(s) \implies F(s) = \dfrac{\frac3s}{\frac{s+3}{s-1}} = 3\dfrac{s-1}{s(s+3)}$

We have the partial fraction decomposition,

$\dfrac{s-1}{s(s+3)} = \dfrac13 \left(-\dfrac1s + \dfrac4{s+3}\right)$

Then we can easily compute the inverse transform to solve for f(t) :

$F(s) = -\dfrac1s + \dfrac4{s+3}$

$\implies \boxed{f(t) = -1 + 4e^{-3t}}$

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Struct quadrilaterals for measurements given belo

Ierofanga [76]

I’m just trynna get points

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A BAKER USED 4 CUPS OF FLOUR TO MAKE 5 BEATLES OF COOKIES. HE USED ???? OF A CUP OF FLOUR TO MAKE 1 BATCH OF COOKIES

zepelin [54]

Answer:

Your answer will be 1.2 cups of flour

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Step-by-step explanation: I hope this heled, if not let me know and I will get you a better answer! :)

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Anna11 [10]

Answer:

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It wants you to determined which angle is bigger out of two of the angles.

Angle A. is 3.9 inches plus 7.9 inches

Angle B. is 3.9 inches plus 4.2 inches

Angle C. is 7.9 inches plus 4.2 inches

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VikaD [51]

Answer: If there is no clear pattern to the points when graphed on a coordinate plane, we say there is no relative correlation.

In a scatter plot, we are looking for a pattern (or correlation) between the points. Sometimes, they increase together. Sometimes, they decrease together.

If we can't see a pattern, we say there is no correlation.

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