Ask question

Ask question

All categories

4 years ago

15

Solve 30x -12,000 less than or equal to 980

1 answer:

Lyrx [107]4 years ago

6 0

Answer:

$\large\boxed{x\leq432\dfrac{2}{3}\to x\in\left(-\infty,\ 432\dfrac{2}{3}\right]}$

Step-by-step explanation:

$30x-12,000\leq980\qquad\text{add 12,000 to both sides}\\\\30x-12,000+12,000\leq980+12,000\\\\30x\leq12,980\qquad\text{divide both sides by 30}\\\\x\leq\dfrac{12,980}{30}\\\\x\leq\dfrac{1,298}{3}\\\\x\leq432\dfrac{2}{3}$

You might be interested in

Find the area of a circle of radius 4 cm.

Mnenie [13.5K]

Answer:

Step-by-step explanation:

Area of a circle=πr²

A=π*4²

A=16π

A=50.27 ( rounded to nearest 100th)

4 0

4 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

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

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

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 $x$ :

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

$x^5u=C\implies u=Cx^{-5}$

Solve for $v$ :

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

Solve for $y_2$ :

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

So another linearly independent solution is $y_2=\dfrac1x$ .

3 0

3 years ago

photoshop1234 [79]

Answer:

10

Step-by-step explanation:

5/x = 4/8

Cross multiply

4*x = 5*8

4x = 40

x = 10

Answer is 10

You are correct

3 0

3 years ago

What is the image point of (0,-6) after the transformation D 1/2 or y-axis?

rewona [7]

I think you multiply 1/2 by the x and y point

1/2(0)= 0
1/2(-6)= -3

(0,-3)

6 0

3 years ago

The Wilson family invited 100 relatives to their Christmas party. 90 guests had Dutch heritage, 80 had German heritage and 75 ha

nadezda [96]

The answer is 45 i am 100% sure of that!!!

8 0

3 years ago