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3,000,000 = 3 x 10⁶

1/2x-7=11-1/2x       add 1/2x, 7  to both sides

x = 18

3x - 2  =  10 - 2x

Add  2x  to both sides:         5x - 2  =  10

Add  2  to both sides:                5x  =  12

Divide both sides by 5:                x  =  12/5            

f(x) = x²    looks likely

x =18                                          

Because    (-2)² = 4     (-1)² = 1     (0)² = 0     (1)² = 1   

one possible function is  y = x².

If you want to do this by limits: Need to solve   lim(x→∞) (x²+5)/(7-2x²)   and    lim(x→-∞) (x²+5)/(7-2x²)

Looking at the expression:  (x²+5)/(7-2x²)    divide both the numerator and denominator by x² to get:

     (x²/x² + 5/x²)/(7/x² - 2x²/x²)  =  (1 + 5/x²)/(7/x² - 2)

Now as  x→∞,  lim(1 + 5/x²)/(7/x² - 2) → (1)/(-2)  =  -1/2

    (because as x→∞, both 5/x²→0 and 7/x²→0)

And, as x→-∞ lim(1 + 5/x²)/(7/x² - 2) =  -1/2 also.

So the end behavior is that the funtion approaches -1/2 both to the right and to the left.

Thanks for that, Melody......

Notice that.....

8 x 10⁶⁷ < 10 x 10⁶⁷ < (10 x 10⁶⁹ =  10⁷⁰  )

If the length of each of the two congruent sides is 5 inches, then 10 inches of the perimeter is taken up by these two sides. And since the perimeter is no more that 12 inches, the remaining side must be greater than 0 but less than or equal to 2 inches.

Can either go 9x9x9x9x9x9x9x9x9*11x11x11x11x11x11x11x11x11 or

(99)to the power of 9

use calculator

Anonymous Is Here

30  =  2 x 3 x 5

72  =  2 x 2 x 2 x 3 x 3

The greatest common factor is the largest number that can divide into both of these numbers. Since there is a 2 and a 3 in both numbers, the greatest common factor is 2 x 3 = 6. 

versin(A)  =  1 - cos(A)  

                 =  2sin²(½A)

11^x  =  18 * 10^(x + 1)                              Take the log of both sides to get:

log(11^x)  =  log(18 * 10^(x + 1)                   Use  log( A · B )  =  log(A) + log(B)  to get:

log(11^x)  =  log(18) + log( 10^(x + 1) )         Use  log( A ^ B )  =  B · log(A)  to get:

xlog(11)  =  log(18) + (x + 1)log(10)               Use  log(10)  =  1  to get:  

xlog(11)  =  log(18) + (x + 1)                           

xlog(11)  =  log(18) + x + 1

xlog(11) - x  =  log(18) + 1

x( log(11) - 1 )  =  log(18) + 1

x  =  [ log(18) + 1 ] / [ log(11) - 1 ] 

Here is a solution with humor. Lancelots Links unexplained maths solution is overkill for this question, but is correct.

To find a mean of a set of numbers:  add all the numbers together and divide by the number of numbers.

Therefore, add all the individual earnings of the player and divide by the number of earnings.

1 cm = 10 mm         --->          (1 cm)³  =  (10 mm)³  

So, to change frm cm³ to mm³, multiply the cm³ value by 1000:

125 cm³  =  125 x 1000 mm³  =  125,000 mm³  

If you have two points (x1, y1) and (x2, y2), the distance between them can be found using the formula:

d  =  √[ (x2 - x2)² + (y2 - y1)² ]               (This is just the Pythagorean Theorem.)

It makes no difference which point you call (x1, y1) and which you call (x2, y2).

If (x1, y1) = (-2, 6) and (x2, y2) = (1, 2), then, by using the formula, you have:

d  =  √[ (1 - -2)² + (2 - 6)² ]   =   √[ (3)² + (4)² ]    =  √[ 9 + 16 ]   =  √25  =  5.

You can also find the answer by draphing the two points, drawing a right triangle, and using the Pythagorean Theorem.

This is the person who posted this question. Just asking... Is the answer possibly 5?

Dragons' answer is absolutely correct.

pi is defined to be the ratio of the circumference of any circle to its diameter.

I meant distance sorry.

8 x 10^67  <  10 X 10^67  =  10^68

Since 10^68 < 10^70,  8 x 10^67  <  10^70