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Notice that (p - q)² = p² - 2pq + q²

But notice that (q - p)² is exactly the same result....(prove this for yourself)

So all we really need to do is to just double the first result, and we get

2p² - 4pq + 2q²

.....as Aziz  found !!!

1.14285714

Look at it this way  ...there are 11 parts to the job

The first worker performs 6/11 of the job

The second worker performs 2/11 of the job

And the last worker performs 3/11 of the job

Then the second most productive worker sorts 66(3/11) = 18 boxes

(p-q)2 + (q-p)2

(p-q)(p-q) + (q-p)(q-p)

(p² - pq - pq + q²) + (q² - pq - pq + p²)

2p² - 4pq + 2q².

I think you meant to put: How many dimes does she have?

Nickels are 5 cents: 32 nickels*0.05 [5 cents] = $1.60

$2.50 - $1.60 = $0.90

Dimes are 10 cents: 0.10*9 = $0.90 --> Sheila has 9 dimes.

(5x+4)^2

FOIL:

(5x+4)(5x+4)

25x²+20x + 20x + 16

25x² + 40x +16.

Sally = y

Sue = z

y = 200

Before z = 3z, y = 2z

If y = 200, then 2z = 200 --> z = 100 before, now z = 3z = 3(100) = $300.

Sally makes $200 per week.

Sally makes twice as much as Sue. 

Then, Sue's pay is tripled.

Sally=2*Sue

200=2*Sue                ---divide both sides by 2

100 = Sue

Sue made $100 dollars a week, and now her pay is tripled.

100*3 = 300

So, Sue now makes $300 a week.

Can you be a lil more specific with your question??!!

Sally makes $200 per week. Before Sue had her pay tripled, Sally made twice as much as Sue. How much does Sue now make per week?

Convert from verbal to mathematical:

A = 2B (twice as much)

B = 0.5C + C (50% more than C - must add the + C since B earned 50% more than C plus the actual amount C made)

A + B + C = $220,000

By substituting 2B for A, we obtain 2B + B + C = 220,000, then 3B + C = 220,000 --> C = 220,000 - 3B

Then, we substitute for C in B = 0.5C + C --> B = 0.5(220,000 - 3B) + 220,000 - 3B

B = 110,000 - 1.5B + 220,000 - 3B

B = 330,000 - 4.5B

5.5B = 330,000

B = $60,000.

Since the 3 made $220,000 over 3 years...then, on average, B made 60,000 / 3 = $20,000 in any year.

To check: 

A = 2B = 2(60,000) = $120,000

C = 220,000 - 3B = 220,000 - 3(60,000) = 220,000 - 180,000 = $40,000

A + B + C = 220,000?

$120,000 + $60,000 + $40,000 = $220,000...Yes.

210x^2-1680x+7700.

210(6^2) - 1680(6) + 7700 = 5,180.

sqrt(2) = 1.414213562373095.

N = -5000ln(0.085). --> N=12325.520112459102986.

17. The amplitude is 2. Each wavelength is 6. When x = 0, y = 1.

The only one that matches x = 0, y = 1 is e, f(x) = 1 + sin x since all the others don't satisfy this condition.

19. f(x) = 2x^2 + 3

f(x+h) = 2(x+h)^2 + 3 = 2x^2 + 4xh + 2h^2 + 3 -->

2x^2 + 4xh + 2h^2 + 3 - (2x^2 + 3) / h -->

4xh + 2h^2 / h -->

b, 4x + 2h.

First, let's create variables:

s = startup division

e = established division

The startup division made 80% of 1/2 of the established division. 

Let's take a look at what the above statement means: Making 80% of 1/2 means...

0.8 of 1/2 = 0.8*0.5 = 0.4 --> s = 0.4e.

Next: The startup division’s growth was 1/3 greater than the established division’s.

Seems like this is additional information is not needed.

If the divisions made 280,000 combined, how much did the startup division make?

s + e = 280,000 --> s = 280,000 - e, then we can substitude s = 0.4e for s -->

280,000 - e = 0.4e --> 1.4e = 280,000 --> e = 200,000.

This means that s = 80,000.

The circumference of a circle is the circle's diameter times pi.

Also, the diameter of a circle is twice as big as the radius.

Now we have a formula!

$$C=2r\times{\pi}$$

$$C=2(17)\times{\pi}$$

$${\mathtt{C}} = {\mathtt{34}}{mm}{\mathtt{\,\times\,}}{\mathtt{\pi}} \Rightarrow {\mathtt{C}} = {\mathtt{106.814\: \!150\: \!222\: \!052\: \!970\: \!1}}{mm}$$

So that's our circumference.

or, rounded to the nearest tenth, 106.8mm

Just type .00365747 into the calculator and hit the "1/x" key........this will give you your answer...

We can use the idea of "borrowing" here....just like we do when we subtract !!!!  Instead of "borrowing" 10s, we'll be "borrowing" minutes !!!!

Remembering that there are 60 minutes in each degree.....we can write 29 degrees as:

(28 degrees + 1 degree)   = (28 degrees 60 minutes)...therefore, we have:

    28 degrees 60 minutes

-  26 degrees  50 minutes

------------------------------

=   2 degrees  10 minutes

Just as Mekody has said........

The original problem isn't actually set to 0, so rosala's answer is correct

If we set it to 0, then stu's answer is good, too.....

As stated in above add like terms only.

359x-24=0

359x=24

x=24/359

x = 0.0668523676880223

Check:

359*0.0668523676880223 -24 = 0.0000000000000057

Which is just a calculator issue of decimal place rounding most likely.

Get the x's on one side and everything else on the other side of the equals. Then solve what is the value for x.

The parachute can be moving in a positive dirrection if you set down to be positive. YOu can do that right? Dragon slayer you will need to give a dirrection for vectors. The negative is not enough, (right CPhill?). Vectors are x,y,z or east, south, north, west etc.

In this we dont have to do much 

We'd solve this like

3x + 356x - 24 ( so out here we wil just add the like terms which is 3x and 356x and we cant subtract 24 from this becoz its isnt the same as 3x and 256x or we can simply say it does not have x with it or isnt of the same value like the other two)

=359x - 24  ANSWER

Hope this helps!

Oh Squire Ninja of great stealth.

I am sure the Queen can rely upon your  loyalty.

 Thee must foil Sir CPhill's evil plot.

Thine reward shall be great.

A knight shall you be dubbed! 

Queen Guinevere.