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2 years ago

Removing which point from the coordinate plane would make the graph a function of x? mc006-1.jpg

1 answer:

5 0

B. (-2,1)

By checking the x coordinates, I saw there was two -2, but the output was different, so one of them had to be taken out to make it a function.

Function: Every input must have one out must.

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*20 points* a coin is flipped 3 times and number of times heads appears is recorded. how many different outcomes can occur

8_murik_8 [283]

There can only be two outcomes that result from the coon being flipped because there’s only two sides.

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3 years ago

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Please help with one of these

LekaFEV [45]

Number 10 is Answer: y=2.5/2x+3.5

Step-by-step explanation:

The 3.5 is the y intercept because it is when x is 0. The slope is just the change in y over the change in x

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2 years ago

1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING

iogann1982 [59]

$y=\displaystyle\sum_{n=0}^\infty a_nx^n$

then

$y'=\displaystyle\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty(n+1)a_{n+1}x^n$

The ODE in terms of these series is

$\displaystyle\sum_{n=0}^\infty(n+1)a_{n+1}x^n+2\sum_{n=0}^\infty a_nx^n=0$

$\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0$

$\implies\begin{cases}a_0=y(0)\\(n+1)a_{n+1}=-2a_n&\text{for }n\ge0\end{cases}$

We can solve the recurrence exactly by substitution:

$a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0$

$\implies a_n=\dfrac{(-2)^n}{n!}a_0$

So the ODE has solution

$y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}$

which you may recognize as the power series of the exponential function. Then

$\boxed{y(x)=a_0e^{-2x}}$

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2 years ago

225 g flour

Pachacha [2.7K]

If she needs to use 225g of flour for each cake and wants to make 18 cakes she will need 4050g (225x18=4050) of flour but she only has 360g which is obviously not enough flour. For one cake she needs 75g of sugar and since she needs to make 18 cakes she needs 1350g (75x18=1350) of sugar. She only has 135g so it’s not enough.

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2 years ago

PLEASE HELP WILL MARK BRAINLIEST !!!

7nadin3 [17]

Answer:

Step-by-step explanation:

We're trying to find the distance between points X and Y. Or the distance of X-Z plus Z-Y.

Lets find the distance of X-Z

6-2=4

Now lets find the distance of Z-Y

15-6=9

Now we add the distances

4+9=13

8 0

9 months ago

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