All categories

2 years ago

6x – 2 + 2x = 2(4x – 3) + 4.

Mathematics

2 answers:

QveST [7]2 years ago

7 0

Answer:

x = 0

Step-by-step explanation:

6x – 2 + 2x = 2(4x – 3) + 4

Collect like terms.

8x - 2 = 8x - 6 + 4

8x - 2 = 8x - 2

8x = 8x + 0

0x = 0

x = 0

Aleksandr [31]2 years ago

3 0

Answer:

0=0

Step-by-step explanation:

1. Combine Like Terms

6−2+2=2(4−3)+4

8x-2=2(4x-3)+4

2. Distribute

8x-2=2(4x-3)+4

8x-2=8x-6+4

3. Add the Numbers

8x-2=8x-6+4

8x-2+8x-2

4. Add 2 to both sides of the equation

8x-2=8x-2

8x-2+2=8x-2+2

5. Simplify

8−2+2=2(4−3)+4

8x=8x-2+2

8x=8x

6. Subtract 8x from both sides of the equation

8x-8x = 8x-8x

Answer= 0=0

You might be interested in

A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the

Basile [38]

Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

Given that, the volume of cylindrical can with out top is 25 cm³.

Consider the height of the can be h and radius be r.

The volume of the can is V= $\pi r^2h$

According to the problem,

$\pi r^2 h=25$

$\Rightarrow h=\frac{25}{\pi r^2}$

The surface area of the base of the can is = $\pi r^2$

The metal for the bottom will cost $2.00 per cm²

The metal cost for the base is =$(2.00× $\pi r^2$ )

The lateral surface area of the can is = $2\pi rh$

The metal for the side will cost $1.25 per cm²

The metal cost for the base is =$(1.25× $2\pi rh$ )

$=\$2.5 \pi r h$

Total cost of metal is C= 2.00 $\pi r^2$ + $2.5 \pi r h$

Putting $h=\frac{25}{\pi r^2}$

$\therefore C=2\pi r^2+2.5 \pi r \times \frac{25}{\pi r^2}$

$\Rightarrow C=2\pi r^2+ \frac{62.5}{ r}$

Differentiating with respect to r

$C'=4\pi r- \frac{62.5}{ r^2}$

Again differentiating with respect to r

$C''=4\pi + \frac{125}{ r^3}$

To find the minimize cost, we set C'=0

$4\pi r- \frac{62.5}{ r^2}=0$

$\Rightarrow 4\pi r=\frac{62.5}{ r^2}$

$\Rightarrow r^3=\frac{62.5}{ 4\pi}$

⇒r=1.71

Now,

$\left C''\right|_{x=1.71}=4\pi +\frac{125}{1.71^3}>0$

When r=1.71 cm, the metal cost will be minimum.

Therefore,

$h=\frac{25}{\pi\times 1.71^2}$

⇒h=2.72 cm

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

6 0

2 years ago

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

elena-14-01-66 [18.8K]

Answer:

yes

Step-by-step explanation:

I think sorry if I am wrong

8 0

2 years ago

Read 2 more answers

The planning department of abstract office supplies has been asked to determine what is the company should introduce a new compu

BabaBlast [244]

Answer:

The company needs to sell 40 desks to break even

Step-by-step explanation:

Application of Equations

There is virtually no limit to the possible situations where equations can help to find the solution of specific problems related to areas like economy, where one could need to establish some important indicators about the business.

B. The fixed cost for Abstract Office Supplies to sell a new computer desk is $14,000. Each desk will cost $150 to produce. The cost function to produce X desks is

C(x)=150x+14,000

A. The revenue for each desk is estimated at $500, for X desks will be

R(x)=500x

C. The company will break even when the cost and the revenue are the same. We'll find how many desks need to be sold for that to happen. We equate

C(x)=R(x)

Or equivalently

150x+14,000=500x

Rearranging

500x-150x=14,000

350x=14,000

Solving for x

x=14,000/350= 40

The company needs to sell 40 desks to break even

4 0

2 years ago

How literal equations and formulas are related

Margaret [11]

Answer:

A literal equation is an equation which consists primarily of letters. Formulas are an example of literal equations.

5 0

2 years ago

Find the slope of the line through the pair of points. (13, 5) and (3,5)

Ronch [10]

Answer: 0

Step-by-step explanation:

So the slope of a line is equal to rise over run, or the change in x over the change in y. We can solve for the change in x and the change in y by finding their differences. For the math, we use the formulas y2 - y1/x2 - x1. Filling in this formula we get, (5-5)/(3-13), which is equal to 0/10. Because 0 divided by anything is 0, the answer here is 0.

8 0

2 years ago