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professor190 [17]
3 years ago
7

Y= -1/3x+2

Mathematics
1 answer:
FrozenT [24]3 years ago
8 0
Plugging x in, we have -x/3+2, which is -2/3+2=1.3 (with the 3 repeating).

To graph it, try desmos.com if you need help :)
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Find a such that the solution of y'' + y' − 2y = 0, y(0) = a, y' (0) = 1 tends to zero as t → +∞.
Kay [80]

Answer:

Step-by-step explanation:

y'' + y' − 2y = 0, y(0) = a, y' (0) = 1

Auxialary equation is

m^2+m-2=0\\m=-2,1

General solution is

y=Ae^{-2x} +Be^x

y(0) = A+B =a

y'(0) = -2Ae^{2x} +Be^x = -2A+B = 1

Eliminate B to get

3A =a-1

We know that y tends to 0 when x tends to infinity for any finite A

i.e. a should be a finite real number.

8 0
3 years ago
Colin is buying dirt to fill a garden bed that is a 9 ft by 16 ft rectangle. If he wants to fill it to a depth of 4 in., how man
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Find the volume of the rectangular prism.

V = lwh

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V = 756 ft^3

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So there are 28 cubic yards of dirt he needs.

Multiply this to 25 to find the total cost of the dirt:

28 * 25 = 700

So the project will cost $700
5 0
3 years ago
Real word problems that have more than one answer can be described by relations?
AleksandrR [38]
Yes that is correct!
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3 years ago
I’m so stressed out over this. please help me solve these
frozen [14]
You have to use the distributive property for this worksheet (multiplying the number in front of the parenthesis which each number inside the parenthesis)
1, for example,
8 • x = 8x
8 • 5 = 40
So your answer would be 8x+40. Don’t overthink it. You got the rest! Just comment back if you need help! :]
5 0
3 years ago
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Find f(x) and g(x) so the function can be expressed as y = f(g(x)).
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<span>7<span><span>x/2</span>+10</span></span><span> So this is how it looks like?</span>
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3 years ago
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