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3 years ago

Solve the equation for t. -5(t-5)+9t=6t-4solve the equation for t. -5(t-5)+9t=6t-4

Mathematics

1 answer:

strojnjashka [21]3 years ago

5 0

Answer:

t = 29/2

Step-by-step explanation:

-5(t - 5) + 9t = 6t - 4

-5t + 25 + 9t = 6t - 4

4t + 25 = 6t - 4

4t + 29 = 6t

29 = 2t

29/2 = t

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Simplify (√2+1)² + (√2-1)²

rusak2 [61]

Answer:6

Step-by-step explanation:

*we solve every bracket alone

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2+2√2+1

3+2√2

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2-2√2+1

3-2√2

-we write the whole equation

3+2√2+3-2√2 (+2√2 - 2√2) {positive and negative remove each other}

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2 years ago

Consider the differential equation x^2 y''-xy'-3y=0. If y1=x3 is one solution use redution of order formula to find a second lin

Anastasy [175]

Suppose $y_2(x)=y_1(x)v(x)$ is another solution. Then

$\begin{cases}y_2=vx^3\\{y_2}'=v'x^3+3vx^2//{y_2}''=v''x^3+6v'x^2+6vx\end{cases}$

Substituting these derivatives into the ODE gives

$x^2(v''x^3+6v'x^2+6vx)-x(v'x^3+3vx^2)-3vx^3=0$

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Let $u(x)=v'(x)$ , so that

$\begin{cases}u=v'\\u'=v''\end{cases}$

Then the ODE becomes

$x^5u'+5x^4u=0$

and we can condense the left hand side as a derivative of a product,

$\dfrac{\mathrm d}{\mathrm dx}[x^5u]=0$

Integrate both sides with respect to $x$ :

$\displaystyle\int\frac{\mathrm d}{\mathrm dx}[x^5u]\,\mathrm dx=C$

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$v'=Cx^{-5}\implies v=-\dfrac{C_1}4x^{-4}+C_2$

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$\dfrac{y_2}{x^3}=-\dfrac{C_1}4x^{-4}+C_2\implies y_2=C_2x^3-\dfrac{C_1}{4x}$

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2 years ago

Simplify (√3 − √7)^2

Alika [10]

Answer: 10 - 2√21

Step-by-step explanation: I simplified your question by using an online calculator. :)

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2 years ago

Chicken strips at a restaurant sell for the following prices: 4 pieces for $2.40 6 pieces for $3.00 How much do customers save p

const2013 [10]

Answer:

10 cents

Step-by-step explanation:

In order to answer this question we have to find how much each chicken strip costs individually.

Let's start with the 4 piece.

To find how much each piece costs we have to divide $2.40 by 4. Like this:

$\frac{2.40}{4} = .60$

In the 4 piece, every chicken strip costs .60 cents.

Now, let's do the 6 piece.

Like before we are going to divide $3.00 by 6.

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In the 6 piece, every chicken strip costs .50 cents.

Therefore, customers save 10 cents when they buy the larger quantity.

I hope this helps!

If you have any questions let me know!

- Kay :)

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lisov135 [29]

Answer:

Step-by-step explanation:

You have to multiply 30 cents until you get to the total.

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2 years ago