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3 years ago

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Lily begins solving the equation 4(x-1)-x=3(x+5)-11. Her work is shown below. 4(x-1) - x = 3 (x+5)-11 4x −4) −x =3x +15 −11 3x-4

= 3x+4 How can her solution be interpreted? The equation has no solution The equation has one solution: x=0x=0. The equation has infinitely many solutions. The equation has one solution: x=8x=8.

1 answer:

aivan3 [116]3 years ago

8 0

Answer:

Um...

Step-by-step explanation:

Hai

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Please help with this! :)

olchik [2.2K]

Answer:

4 and 3 <------- That's the set I believe!

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3 years ago

An unfair coin with Pr[H] = 0.2 is flipped. If the flip results in a head, a marble is selected at random from a urn containin

satela [25.4K]

Normally when dealing with coins the probability of getting heads or tails is 0.5 each. However in this case since its an unfair coin, the probability of getting heads is 0.2.
H - head
T - tails
R - red marble
pr (H) = 0.2
urn
6 red and 4 blue
pr (T) = 0.8
urn
3 red and 5 blue

when heads is obtained
red - 6/10 -0.6
blue - 4/10 - 0.4
therefore when multiplying with 0.2 probability of getting heads
pr (R ∩ H) red - 0.6*0.2 = 0.12

when tails is obtained
red - 3/8 - 0.375
blue - 5/8 - 0.625
when multiplying with 0.8 probability of getting tails
pr (R ∩ T) red - 0.375 * 0.8 = 0.3

using bayes rule the answer can be found out,
the following equation is used;
pr (H | R) = pr (R ∩ H) / {pr (R ∩ H) + pr (R ∩ T)}
= 0.12 / (0.12 + 0.3)
= 0.12 / 0.42
= 0.286
the final answer is 0.286

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3 years ago

What is the slope intercept form of 3x+1=7-4y

Murrr4er [49]

for a line in the form of y=mx+b, the slope is m and he y intercept is b.

y= -3/4x + 3/2m = -3/4, b=3/2

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3 years ago

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

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

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

6 0

3 years ago

Ming and ivy each sell lemonade. Ming spends $15 on supplies and and all plans to charge $1.50 per cup. Ivy spends $20 on suppli

Marrrta [24]

Answer:

Step-by-step explanation:

1.5x - 15 dollars = x - 20 Add 15 to both sides.

1.5x - 15 + 15 = x - 20 + 15

1.5x = x - 5 They will never coincide.

1.5x-x = - 5

0.5x = - 5 Multiply by 2

x = - 10

I would check your question.

3 0

3 years ago

Read 2 more answers