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3 years ago

25 points for grabs!

Mathematics

1 answer:

coldgirl [10]3 years ago

3 0

Answer:

6 marbles

Step-by-step explanation:

Let the initial number of marbles be x

Then added 3 and got 9 as final number

Equation for this and solution

x + 3 = 9
x = 9 - 3
x = 6

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The general solution of 2 y ln(x)y' = (y^2 + 4)/x is

Sav [38]

Replace $y'$ with $\dfrac{\mathrm dy}{\mathrm dx}$ to see that this ODE is separable:

$2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}$

Integrate both sides; on the left, set $u=y^2+4$ so that $\mathrm du=2y\,\mathrm dy$ ; on the right, set $v=\ln x$ so that $\mathrm dv=\dfrac{\mathrm dx}x$ . Then

$\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v$

$\implies\ln|u|=\ln|v|+C$

$\implies\ln(y^2+4)=\ln|\ln x|+C$

$\implies y^2+4=e^{\ln|\ln x|+C}$

$\implies y^2=C|\ln x|-4$

$\implies y=\pm\sqrt{C|\ln x|-4}$

4 0

3 years ago

Jorge bought x tickets to attend a football game and a baseball game. The expression 8x + 62 represents the total cost of the fo

rusak2 [61]

Answer:

Step-by-step explanation:

Let x be the amount of ticket for each game

Given

The expression 8x + 62 represents the total cost of the football game

The total coat for the.game will be

8(7)+62

= 56+62

= 118

If 9x + 34 represents the total cost of the baseball game. The total coat will be;

9(7)+34

= 63+34

=97

To know how much more football game costs, we will take the difference in their cost.

Difference = 118-97

Difference= 21

Hence football game costs 21 more than baseball

5 0

3 years ago

Twice the difference of a number and 8 equals 2

bixtya [17]

Answer:

x=16

Step-by-step explanation:

2(x/8)=2

2x / 16=2

x 16 x 16

2x=32

2x/2= 32/2

x= 16

6 0

2 years ago

{(-2, 6), (-5, -1), (3, 7), (-5, 0)} Domain: Range: Function?

just olya [345]

{(-2, 6), (-5, -1), (3, 7), (-5, 0)}

Domain: The domain is all the x-values (-2, -5, 3, -5)

Range: The range is all the y-values (6, -1, 7, 0)

Function: It's not a function because of the x-value -5 is repeating.

6 0

3 years ago

Read 2 more answers

Please help 10 points

Natasha_Volkova [10]

The following applies:

90°

180°

270°

3 0

3 years ago