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2 years ago

Whats the answer tell me please

Mathematics

1 answer:

ANEK [815]2 years ago

6 0

For y=3x+4, you would put 4 on the y-intercept and from that point you go up 3 and right 1 and then plot the second point.

For y=-x-4, you would put -4 on the y-intercept and from that point go down 1 and right 1 and then plot the second point.

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-4.64/(-0.725) how to solve

rusak2 [61]

6.4 is the answer hope this helps

5 0

2 years ago

Read 2 more answers

Problem 4: Solve the initial value problem

pishuonlain [190]

Separate the variables:

$y' = \dfrac{dy}{dx} = (y+1)(y-2) \implies \dfrac1{(y+1)(y-2)} \, dy = dx$

Separate the left side into partial fractions. We want coefficients a and b such that

$\dfrac1{(y+1)(y-2)} = \dfrac a{y+1} + \dfrac b{y-2}$

$\implies \dfrac1{(y+1)(y-2)} = \dfrac{a(y-2)+b(y+1)}{(y+1)(y-2)}$

$\implies 1 = a(y-2)+b(y+1)$

$\implies 1 = (a+b)y - 2a+b$

$\implies \begin{cases}a+b=0\\-2a+b=1\end{cases} \implies a = -\dfrac13 \text{ and } b = \dfrac13$

So we have

$\dfrac13 \left(\dfrac1{y-2} - \dfrac1{y+1}\right) \, dy = dx$

Integrating both sides yields

$\displaystyle \int \dfrac13 \left(\dfrac1{y-2} - \dfrac1{y+1}\right) \, dy = \int dx$

$\dfrac13 \left(\ln|y-2| - \ln|y+1|\right) = x + C$

$\dfrac13 \ln\left|\dfrac{y-2}{y+1}\right| = x + C$

$\ln\left|\dfrac{y-2}{y+1}\right| = 3x + C$

$\dfrac{y-2}{y+1} = e^{3x + C}$

$\dfrac{y-2}{y+1} = Ce^{3x}$

With the initial condition y(0) = 1, we find

$\dfrac{1-2}{1+1} = Ce^{0} \implies C = -\dfrac12$

so that the particular solution is

$\boxed{\dfrac{y-2}{y+1} = -\dfrac12 e^{3x}}$

It's not too hard to solve explicitly for y; notice that

$\dfrac{y-2}{y+1} = \dfrac{(y+1)-3}{y+1} = 1-\dfrac3{y+1}$

Then

$1 - \dfrac3{y+1} = -\dfrac12 e^{3x}$

$\dfrac3{y+1} = 1 + \dfrac12 e^{3x}$

$\dfrac{y+1}3 = \dfrac1{1+\frac12 e^{3x}} = \dfrac2{2+e^{3x}}$

$y+1 = \dfrac6{2+e^{3x}}$

$y = \dfrac6{2+e^{3x}} - 1$

$\boxed{y = \dfrac{4-e^{3x}}{2+e^{3x}}}$

7 0

1 year ago

7/13 of the population of a town is female.of the males 2/3 are married,What fraction population consists of unmarried men?

Mariana [72]

Answer:

Step-by-step explanation:

$\frac{7}{13}$ -Female

$\frac{2}{3}$ - Men Married.

$\frac{7}{13} divided by \frac{2}{3} = \frac{7}{13} x\frac{3}{2} = \frac{21}{6} = 3\frac{2}{6} = 3\frac{1}{3}$

Hope this helps :)

3 0

2 years ago

Find the lateral surface area of the can of mandarin oranges. Round your answer to the nearest tenth. Radius: 4cm, Height: 11cm

Vedmedyk [2.9K]

Answer:

276.3cm²

Step-by-step explanation:

The lateral surface area is the area of all the sides of a 3-dimensional object excluding its base and top.

A can is in the shape of a cylinder

Lateral surface area of a cylinder = 2πrh

π = pi = 3.14

h = height = 11

r = radius = 4

2 x 3.14 x 4 x 11 = 276.32 cm²

to the nearest tenth = 276.3 cm²

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

7 0

2 years ago

A ticket to see your favorite baseball team costs $43.54. That price decreases by $0.33 for every game lost during the regular

jarptica [38.1K]

Answer:

The Price of the ticket will be "30.01"

Step-by-step explanation:

After 41 lost by the team, The price of the ticket will be "13.53".

So Basically you need to subtract "13.53" from the price of a regular ticket.

4 0

2 years ago