3 years ago

How many different ways can you make 75cents using nickles quaters and dimes?

1 answer:

4 0

3 dimes, 1 nickel
2 dimes, 3 nickels
1 dime, 5 nickels
7 nickels
(don't forget to add in the initial quarter, dime, and nickel)

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The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section

lisabon 2012 [21]

Answer:

$\therefore y_2(x)=-\frac{e^{-6x}}{8}$

The general solution is

$y=c_1e^{2x}-c_2.\frac{e^{-6x}}{8}$

Step-by-step explanation:

Given differential equation is

y''-4y'+4y=0

and $y_1(x)=e^{2x}$

To find the $y_2(x)$ we are applying the following formula,

$y_2(x)=y_1(x)\int \frac{e^{-\int P(x) dx}}{y_1^2(x)} \ dx$

The general form of equation is

y''+P(x)y'+Q(x)y=0

Comparing the general form of the differential equation to the given differential equation,

So, P(x)= - 4

$\therefore y_2(x)=e^{2x}\int \frac{e^{-\int 4dx}}{(e^{2x})^2}dx$

$=e^{2x}\int \frac{e^{-4x}}{e^{4x}}dx$

$=e^{2x}\int e^{-4x-4x} \ dx$

$=e^{2x}\int e^{-8x} \ dx$

$=e^{2x}. \frac{e^{-8x}}{-8}$

$=-\frac{e^{-6x}}{8}$

$\therefore y_2(x)=-\frac{e^{-6x}}{8}$

The general solution is

$y=c_1e^{2x}-c_2.\frac{e^{-6x}}{8}$

4 0

3 years ago

A coffee stand sells cups of coffee for $6 and cups of tea for $3 . Tuesday, a total of 75 cups were sold, and the total money c

gtnhenbr [62]

C + t = 75......c = 75 - t
6c + 3t = 312

6(75 - t) + 3t = 312
450 - 6t + 3t = 312
-6t + 3t = 312 - 450
-3t = - 138
t = -138/-3
t = 46 <=== 46 cups of tea were sold

c = 75 - t
c = 75 - 46
c = 29 <=== 29 cups of coffee

5 0

4 years ago

Simplify<br><br><img src="https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B7y%7D%20%20%5Ctimes%20%20%7B81%7D%5E%7B8y%7D%20%5Ctimes%20%20%

Papessa [141]

Answer

$3^{7y} * 81^{8y} * 3^9 * 27^{-9y} = 3^{7y} * (3^4)^{8y} * 3^9 *(3^3)^{-9y}$

$=3^{7y} * (3)^{32y} * 3^9 *(3)^{-27y}\\\\=3^{7y +32y +9 -27y}\\\\=3^{12y+9}$

Tip :

$\frac{1}{27^{9y}} = 27^{-9y} = (3^3)^{-9y} = 3^{-27y}$

5 0

3 years ago

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What is the answer to (-38)+(-40)

Hatshy [7]

-78 since they are both negative you just add them

7 0

3 years ago

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PLSSS HELP IF YOU TURLY KNOW THISS

lubasha [3.4K]

Answer:

I think that it would be 5x+3.

Step-by-step explanation:

5 0

3 years ago

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