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3 years ago

To which graph does the point (−1, 4) belong?

Mathematics

2 answers:

Verdich [7]3 years ago

6 0

Insert x = -1 and y = 4 into the first inequality:-
4 <= -(-1) + 4 = 5

so this fits

Its A

marta [7]3 years ago

4 0

Answer: First one

Step-by-step explanation:

Due to slope form which is y=mx + b.

-1 = x and y = 4.

It does not show the one because it would be equal to X, but it does show the negative

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Parenthesis 3 plus negative square root of 16 parenthesis 6 minus negative square root of 64

inessss [21]

Answer: 2

Explanation: got off math wy in pic

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2 years ago

The king comes from a family of 2 children. what is the probability that the other child is his sister?

stira [4]

The chance is 50% because if there are 2 children the probability would be 1/2 or 50%.

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3 years ago

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

Is the following inequality true : 4 <_ 4 ?

marissa [1.9K]

Answer:

Yes

Step-by-step explanation:

This is true because it is asking you if this is less than or EQUAL TO. 4 = 4, making it true.

8 0

2 years ago

Is 1/2 a solution to the equation 8 -2x = 10x + 3?

KatRina [158]

Answer yes

Step-by-step explanation:

hope this helps

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2 years ago