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2 years ago

Solve for the variable -8 p -4p = -12 A. 9 B. 1 C. -11 D. -3

Mathematics

1 answer:

murzikaleks [220]2 years ago

7 0

Answer:

Step-by-step explanation:

$- 8p - 4p = - 12 \\ - 12p = - 12 \\ p = \frac{ - 12}{ - 12} \\ p = 1 \\$

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How do I find the period of y = -2 cos 0.5x

nevsk [136]

Use the form (bx-c)+ d to find the amplitude , period shift, phase, and vertical shift.
amplitude:2
period:12.56637061
phase shift : 0(0to the right )
vertical shift:0
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4 0

3 years ago

Use Laplace transform methods to solve the differential equation: The initial conditions are f(0) = 0 and <img src="https://tex.

Llana [10]

Answer:

Step-by-step explanation:

$\frac{d^2 y}{dt^2} +12\frac{dy}{dt} +32y = 10e^{-2t}$ where f(x) is replaced by y

Take Laplace on both sides

$s^2 Y -s(0)-0 +12s Y-0+32Y = \frac{10}{s+2} \\Y(s^2+12s+32) = \frac{10}{s+2}\\Y = \frac{10}{(s+2)(s+4)(s+8)}$

We can resolve into partial fraction to get Y = L(y)

Let this equals

$\frac{A}{s+2} +\frac{B}{s+4} +\frac{C}{s+8} \\10 = A(s+4)(s+8) + B(s+2)(s+8) +Cs+4)(s+2) \\$

Solving we get

s=-9

24C = 10 or C =5/12

s=-2: A=10/12=5/6

s=-4: B = -5/4

Taking inverse Laplace

$y(t) = \frac{-5e^{-4t} }{4} + \frac{5e^{-8t} }{12} +\frac{-5e^{-2t} }{6}$

6 0

3 years ago

I NEED HELP ASAP PLZ FIND X

disa [49]

Answer:

X=7

Step-by-step explanation:

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3 years ago

Write an equation for the following word problem: "three times the sum of a number and ten is 24"

STatiana [176]

Answer:

3(x+10)=24

Step-by-step explanation:

4 0

2 years ago

Find three points that solve the equation x-3y = -7

serg [7]

$x-3y=-7\qquad|-x\\\\-3y=-x-7\qquad|:(-3)\\\\y=\dfrac{x+7}{3}$

<em>We choose any values of x and calculate the value of y</em>

$for\ x=-4\to y=\dfrac{-4+7}{3}=\dfrac{3}{3}=1\to(-4,\ 1)\\\\for\ x=-1\to y=\dfrac{-1+7}{3}=\dfrac{6}{3}=2\to(-1,\ 2)\\\\for\ x=2\to y=\dfrac{2+7}{3}=\dfrac{9}{3}=3\to(2,\ 3)$

<h3>Answer: (-4, 1), (-1, 2), (2, 3).</h3>

6 0

3 years ago