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Fed [463]
3 years ago
7

( 4x2 - 13x – 5) = (x - 2)

Mathematics
2 answers:
Ludmilka [50]3 years ago
8 0

Answer:

x  =  3.70256241

Step-by-step explanation:

Arturiano [62]3 years ago
6 0

Answer:

5/14

Or

0.35714

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Find the sum of all the factors of 32 that are multiples of 4
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Well all the factors of 32 are 1 and 32, 2 and 16, 4 and 8.
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2 years ago
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Solve these linear equations in the form y=yn+yp with yn=y(0)e^at.
WINSTONCH [101]

Answer:

a) y(t) = y_{0}e^{4t} + 2. It does not have a steady state

b) y(t) = y_{0}e^{-4t} + 2. It has a steady state.

Step-by-step explanation:

a) y' -4y = -8

The first step is finding y_{n}(t). So:

y' - 4y = 0

We have to find the eigenvalues of this differential equation, which are the roots of this equation:

r - 4 = 0

r = 4

So:

y_{n}(t) = y_{0}e^{4t}

Since this differential equation has a positive eigenvalue, it does not have a steady state.

Now as for the particular solution.

Since the differential equation is equaled to a constant, the particular solution is going to have the following format:

y_{p}(t) = C

So

(y_{p})' -4(y_{p}) = -8

(C)' - 4C = -8

C is a constant, so (C)' = 0.

-4C = -8

4C = 8

C = 2

The solution in the form is

y(t) = y_{n}(t) + y_{p}(t)

y(t) = y_{0}e^{4t} + 2

b) y' +4y = 8

The first step is finding y_{n}(t). So:

y' + 4y = 0

We have to find the eigenvalues of this differential equation, which are the roots of this equation:

r + 4 =

r = -4

So:

y_{n}(t) = y_{0}e^{-4t}

Since this differential equation does not have a positive eigenvalue, it has a steady state.

Now as for the particular solution.

Since the differential equation is equaled to a constant, the particular solution is going to have the following format:

y_{p}(t) = C

So

(y_{p})' +4(y_{p}) = 8

(C)' + 4C = 8

C is a constant, so (C)' = 0.

4C = 8

C = 2

The solution in the form is

y(t) = y_{n}(t) + y_{p}(t)

y(t) = y_{0}e^{-4t} + 2

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What is the distance between (12, –7) and (–3, –7)?
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15.9687194227 units between the 2 points

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Solve for n. then find the value of m for each value of n<br> 8n=-3m+1
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Basically, solve for n, then find aanother tha is solve for m


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and find m
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Please help me.
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What grade is this problem for?
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