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3 years ago

HELP PLEASE 20 points

Mathematics

1 answer:

STALIN [3.7K]3 years ago

7 0

Answer: first is 4 second is 5

Step-by-step explanation:

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HELP PLZ ALGEBRA 1 HW

nlexa [21]

Answer: 5 and 4

Step-by-step explanation: 5+2=7 amount total per person. 65-30 equals amount able to spend on people. 35÷7=5 being the largest amount possible.

4 0

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

Write an equation in Standard Form using the correct properties. Convert this equation to Slope-Intercept Form.

Lubov Fominskaja [6]

Answer:

I think what you are asking for is an example.

Step-by-step explanation:

Standard form equation

8x-4y = 20

1. move 8x to the other side

-4y=20-8x

2. divide both sides by -4

$\frac{-4y}{-4} = \frac{20-8x}{-4}$

3. Solve for this...

y=2x-5

7 0

3 years ago

????????????????????????

Otrada [13]

I would never know the answer to this question

8 0

3 years ago

Find the missing value.

Fudgin [204]

Answer:

$3125

Step-by-step explanation:

$A = P(1 + \frac{r}{100} )^{n}$

A = 250(1 + 0.25)ⁿ

A = (312.5)ⁿ

n = 10

A = $3125

A = I

8 0

3 years ago