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3 years ago

7

Solve the following equation for x. Show each step. 5x + 2 = 3x + 4(2x - 1)

2 answers:

klemol [59]3 years ago

7 0

ANSWER: x = 1

1. Distribute the 4 into (2x-1). 5x + 2 = 3x + 8x - 4.
2. Add the like terms. 5x + 2 = 11x - 4.
3. Subtract 5x on both sides. 2 = 6x - 4.
4. Add 4 on both sides. 6 = 6x
5. Divide 6 on both sides. x = 1

Reptile [31]3 years ago

6 0

Answer:

$x=1$

Step-by-step explanation:

Start with:

$5x+2=3x+4(2x-1)$

Distribute the $4$ into $(2x-1)$ :

$5x+2=3x+8x-4$

Combine like terms:

$5x+2=11x-4$

Add $4$ to both sides of the equation:

$5x+6=11x$

Subtract $5x$ from both sides of the equation:

$6=6x$

Divide both sides of the equation by the coefficient of $x$ , which is $6$ :

$1=x$

or

$x=1$

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Answer:

$f_x(x,y,z)=4\sin (y-z)$

$f_x(x,y,z)=4x\cos (y-z)$

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Step-by-step explanation:

The given function is

$f(x,y,z)=4x\sin (y-z)$

We need to find first partial derivatives of the function.

Differentiate partially w.r.t. x and y, z are constants.

$f_x(x,y,z)=4(1)\sin (y-z)$

$f_x(x,y,z)=4\sin (y-z)$

Differentiate partially w.r.t. y and x, z are constants.

$f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)$

$f_y(x,y,z)=4x\cos (y-z)$

Differentiate partially w.r.t. z and x, y are constants.

$f_z(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial z}(y-z)$

$f_z(x,y,z)=4x\cos (y-z)(-1)$

$f_z(x,y,z)=-4x\cos (y-z)$

Therefore, the first partial derivatives of the function are $f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z)$ .

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Your company has offices in 2 cities. The Denver office has 137 employees with an average salary of $67,013. The Anchorage offic

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Alright, lets get started.

The Denver office has 137 employees with an average salary of $67,013.

So the total salay of all employees at Denver office will be = $137*67013$

So the total salay of all employees at Denver office will be = $ 9180781

The Anchorage office has 25 employees with an average salary of $71,332.

So the total salary of employees at Anchorage office will be = $25 * 71332$

So the total salary of employees at Anchorage office will be = $ 1783300

So, complete total salary of employees at both offices will be = $9180781+1783300$

So, complete total salary of employees at both offices will be = $ 10964081

Total number of employees at both offices are = $137 + 25 = 162$

So, the average salary of employee across the company = $\frac{10964081}{162}$

So, the average salary of employee across the company = 67679.5

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