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3 years ago

Simplify this to the lowest form: 2c^2 - 6 + c^2 - 3 + 3c^3

Mathematics

1 answer:

Vikki [24]3 years ago

4 0

Answer:

7c^2 - 9

Step-by-step explanation:

2c^2 - 6 + c^2 - 3 + 3c^3

7c^2 - 9

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A group of students is collecting books to add to their librarby. The table shows the number of books in the librarby after 1, 3

Grace [21]

Answer:

(7,48)

Step-by-step explanation

the books go up by ten and the days go up by 2

6 0

3 years ago

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The measure of ZJLM is 140°. The measure of ZJKL is 75°.

BigorU [14]

Answer:

65°

Step-by-step explanation:

m∠KJL = 65°

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3 years ago

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

Last night, the two dinner specials at Kelsey's favorite restaurant were salmon filet and steak.

fenix001 [56]

Answer:42

Step-by-step explanation:

70% of 60 is 42

6 0

4 years ago

Solve for x: 11x = 14x + 24 PLEASE HELP MEEEE

rewona [7]

Answer: X= -8

1) Move all X’s to left side by subtracting 14x from both sides.
Leaves you with -3x=24.

2) -3x=24 is the same as 3x= -24

3) Divide both sides by 3 to get X= -8

5 0

4 years ago