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3 years ago

X² + 5x - 24, factor

Mathematics

1 answer:

kobusy [5.1K]3 years ago

6 0

Answer:

${x}^{2} - 8x + 3x - 24 \\ - x(x - 8)3(x - 8) \\ (3 - x)(x - 8)$

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3 years ago

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Which equation represents the line that is perpendicular yo y=3/2x+1 and passes through (-12,6)

klemol [59]

Answer:

y = -2/3x - 2

Step-by-step explanation:

Step 1: Find slope m of perpendicular line

Simply take the negative reciprocal of the given line

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Step 3: Rewrite perpendicular equation

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3 years ago

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julsineya [31]

Answer:

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If f(x) = x2 – 1, and

Leokris [45]

Answer:

Step-by-step explanation:

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3 years ago

Find the laplace transform of f(t)={0,(t−4),0≤t<4t≥4

Masja [62]

Presumably,

$f(t)=\begin{cases}0&\text{for }0\le t$

By definition of the Laplace transform,

$\mathscr L_s\{f(t)\}=\displaystyle\int_0^\infty f(t)e^{-st}\,\mathrm dt=\int_4^\infty(t-4)e^{-st}\,\mathrm dt$

Integrate by parts, taking

$u=t-4\implies\mathrm du=\mathrm dt$
$\mathrm dv=e^{-st}\,\mathrm dt\implies v=-\dfrac1se^{-st}$

so we get

$\displaystyle\mathscr L_s\{f(t)\}=\left(-\frac1se^{-st}(t-4)\right)\bigg|_{t=4}^{t\to\infty}+\frac1s\int_4^\infty e^{-st}\,\mathrm dt$
$=-\dfrac1{s^2}e^{-st}\bigg|_{t=4}^{t\to\infty}$
$=\dfrac{e^{-4s}}{s^2}$

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3 years ago