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3 years ago

-2, -1, -1, 0, -1, 1, 2, ...

Mathematics

2 answers:

Andrei [34K]3 years ago

4 0

2,3,3,4
This is just anything right here

dimulka [17.4K]3 years ago

3 0

Answer: 3,4,5

The pattern counts by ones starting from he negatives and working it’s way up.

Hope this helps u!

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Which expression is the factored form of 2/3x+4 ?

frosja888 [35]

Answer:

Option C.

Step-by-step explanation:

The given expression is

$\dfrac{2}{3}x+4$

We need to find the factored form of the given expression.

The given expression can be rewritten as

$\dfrac{2}{3}x+(\dfrac{2}{3}\times \dfrac{3}{2})\times 4$

$\dfrac{2}{3}x+\dfrac{2}{3}(6)$

It is clear that $\frac{2}{3}$ is common.

Taking out common factors, we get

$\dfrac{2}{3}(x+6)$

It is the factored form of the given expression.

Hence, the correct option is C.

7 0

3 years ago

Read 2 more answers

The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square kilometers, find the dimensions

Art [367]

Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
$x(2x - 6) = 2 {x}^{2} - 6x$

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

$2 {x}^{2} - 6x = 108$
Subtract 108

$2 {x}^{2} - 6x - 108 = 0$
Divide by 2.

${x}^{2} - 3x - 54$
$(x - 9)(x + 6) = 0$
Rule AB = 0, gives A is 0 or B is 0.

$x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6$

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
$x = 9$
Width
$2x - 6 = 2 \times 9- 6 = 18 - 6 = 12$

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!

6 0

3 years ago

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

BabaBlast [244]

Answer:

<em>The company needs to sell 40 desks to break even</em>

Step-by-step explanation:

<u>Application of Equations</u>

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

3 years ago

A potato sorting machine produces 5 pounds of potatoes an average for the standard aviation is a half a pound assuming the weigh

mixas84 [53]

For a 95% confidence interval, the corresponding z-score is 1.96. Therefore the deviation will by 1.96*0.5 lbs = 0.98 lbs. Therefore, the confidence interval will be (5 - 0.98, 5 + 0.98), which is (4.02, 5.98). The weight range is from 4.02 lbs to 5.98 lbs.

5 0

3 years ago

What does 2.89x0.79x1.35= equal?

fenix001 [56]

Answer: 3.082185x^2

Step-by-step explanation: Find the exact value using trigonometric identities

8 0

3 years ago