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2 years ago

Is this slope positive or negative?

Mathematics

2 answers:

iragen [17]2 years ago

8 0

Answer:

positive

Step-by-step explanation:

y positive

x positive

stira [4]2 years ago

5 0

Answer; its positive negative but its mostly negative

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5. Find the general solution to y'''-y''+4y'-4y = 0

CaHeK987 [17]

For any equation,

$a_ny^(n)+\dots+a_1y'+a_0y=0$

assume solution of a form, $e^{yt}$

Which leads to,

$(e^{yt})'''-(e^{yt})''+4(e^{yt})'-4e^{yt}=0$

Simplify to,

$e^{yt}(y^3-y^2+4y-4)=0$

Then find solutions,

$\underline{y_1=1}, \underline{y_2=2i}, \underline{y_3=-2i}$

For non repeated real root y, we have a form of,

$y_1=c_1e^t$

Following up,

For two non repeated complex roots $y_2\neq y_3$ where,

$y_2=a+bi$

and,

$y_3=a-bi$

the general solution has a form of,

$y=e^{at}(c_2\cos(bt)+c_3\sin(bt))$

Or in this case,

$y=e^0(c_2\cos(2t)+c_3\sin(2t))$

Now we just refine and get,

$\boxed{y=c_1e^t+c_2\cos(2t)+c_3\sin(2t)}$

Hope this helps.

r3t40

5 0

3 years ago

Can u solve this for me

Studentka2010 [4]

X^2 + 4x + 16 is the answer

8 0

3 years ago

If the graphs of the linear equations in a system are the same line, what does that mean about the possible solution or solution

Mademuasel [1]

Answer:

If we have a system of linear equations:

y = a*x + b

y = c*x + d

And the graphs of the equations are the same line, this means that both lines have the same equation, then:

a = c and b = d.

Then we have only one equation (but repeated) and two variables, then we have infinite solutions for our system.

Another way to see this is:

When we have a system of linear equations, the solution is the point where the lines intersect.

But if both lines are the same line, then the lines intersect in infinite points, then we have infinite solutions.

8 0

2 years ago

In a state lottery 25 balls numbered from 1 to 25 and placed in machine. 6 numbers randomly drawn. And here is the chart what ca

bonufazy [111]

Answer:

win $5,000: P = 0.0006437

win $50: P = 0.6196

Step-by-step explanation:

To win $5,000, we must have a match of 5 numbers.

So from the 6 numbers, we correcly choose 5 numbers and miss 1 number. The probability of matching or not each of the 6 numbers is:

First number: P = 6/25

Second number: P = 5/24

Third number: P = 4/23

Fourth number: P = 3/22

Fifth number: P = 2/21

Sixth number: P = 19/20 (wrong number)

As the 5 correct numbers can be any of the 6, we also have to multiply the probabilities by a combination of 6 choose 5:

c(6,5) = 6!/5! = 6

So the final probability is:

P = 6 * (6/25) * (5/24) * (4/23) * (3/22) * (2/21) * (19/20) = 0.0006437

To find the probability of winning $50, we can do the same steps above, and we need to correcly match 2 numbers, so we have that:

First number: P = 6/25

Second number: P = 5/24

Third number: P = 22/23 (wrong number)

Fourth number: P = 21/22 (wrong number)

Fifth number: P = 20/21 (wrong number)

Sixth number: P = 19/20 (wrong number)

As the 2 correct numbers can be any of the 6, we also have to multiply the probabilities by a combination of 6 choose 2:

c(6,2) = 6!/(4!*2!) = 6*5/2 = 15

So the final probability is:

P = 15 * (6/25) * (5/24) * (22/23) * (21/22) * (20/21) * (19/20) = 0.6196

8 0

3 years ago

What is the multiplicative property of 0

shtirl [24]

Answer:

Step-by-step explanation:

What ever times 0 always is 0, take 100 × 0 it will make it Into 0. If you need help use a calculator, hope this helps

4 0

3 years ago