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3 years ago

Determine which relation is a function.

Mathematics

2 answers:

Greeley [361]3 years ago

6 0

Yes the answer would be A.

yan [13]3 years ago

4 0

I believe the answer is A.
The other values have repeated X values.

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Write the digits in the thousands place

Sloan [31]

What digits? is there specific types?

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3 years ago

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Which number line represents the solutions to 1-2x1 = 4?

kaheart [24]

Answer:

Third option: $x = -2$ and $x = 2$

Step-by-step explanation:

Given:

$|-2x|=4$

For a modulus function, if $|f(x)|=a$ , then,

$f(x)=\pm a$

Here, $f(x)=-2x$ , $a=4$

∴ $-2x=\pm 4\\ -2x=-4\textrm{ or } -2x=4\\ x=\frac{-4}{-2}\textrm{ or }x=\frac{4}{-2}\\ x= 2\textrm{ or }x=-2$

Therefore, the third option is the correct answer as the graph has $x$ values as -2 and 2

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3 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

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

7 0

3 years ago

Find the area of the circle below

tangare [24]

Answer:

28.27433

Step-by-step explanation:

using the pie radius squared formula

pie radius squared=pie 3 squared

5 0

3 years ago

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What is the slope of the line that passes through the points (-6, 8) and (-9, 7)? Write your answer in simplest form.

yanalaym [24]

Answer:

m=1/3

equation y=1/3x+10

Step-by-step explanation:

Find the rise and run.

1. -6--9=run=3

2. 8-7=rise=1

6 0

2 years ago

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