CPhill

Let's see how ME got that answer

Set the equation equal

x^2   = 3x - 2      we can subtract 3x - 2 from both sides and we get

x^2 - 3x + 2   = 0      factor the left side

(x - 2) ( x - 1) = 0

Set each factor to 0  and solve for x and we get that

x =  2        and y = x^2    =   4

x = 1         and y = x^2   =    1

So....as ME found    (2, 4)   and ( 1, 1)

Thanks, ME and PM......!!!

The sum of the probabilities = 1

So

p(3)   = 1 - .13 - .05 - .21 - .19 - .3   =  .12

So 

P ( 3 or 4)    =  [ .12 + .21 ]  =  .33  =   1/3

So...

.1/3 * 300   =  100 times

Not the first one 

(3x^2 - y)^2    =  (3x^2 - y) (3x^2 - y)  = 9x^4 - 3x^2y - 3x^2 + y^4 =

9x^4 - 6x^2 + y^4

Second one      (3x^2)^2 - y^2   =  9x^4 - y^2

Third one  9(x^2)^2 - y^2   = 9x^4 - y^2

Not the fourth one   (9x^2)^2 - y^2   = 81x^4 - y^2

Fifth one    (3x^2 + y) (3x^2 - y)   = 9x^4 +3x^2y - 3x^2y - y^2   = 9x^4 - y^2

So......First, Third, Fifth

Great thinking, CS....!!!

I didn't see how to solve this, but your approach is EXACTLY what is needed...!!!

First off...let's get rid of the decimals in the second equation by multiplying through by 100

This gives

158p + 109g = 346     (1)

And    p + g = 2.5    we can rearrange as   g = 2.5 - p    (2)

Put  (2)  into (1)   and we have

158p + 109 (2.5 - p) = 346      simplify

158p + 272.5 - 109p = 346

49p + 272.5 = 346       subtract 272.5 from both sides

49p   = 73.5       divide both sides by 49

p = 1.5 lbs  of peaches

And   g = 2.5 - p   =  2.5 - 1.5   =  1 lbs of grapefruit

I agree with  CS   !!!!!

Glad to have you aboard, CoolStuff....!!!!

This won't be precise....but...It appears that the y intercept would be at ≈ 20

So.....we only have two equations to consider

y = x + 20

or

y = 2x + 20

Note that the last data point on the right has a y value of ≈ 65

And the x value associated with this point ≈ 20

And assuming that a line  of best-fit might pass through the second data point from the left 

The coordinates of this point ≈  (2.5, 25)

So....the slope of the line is ≈    [ 65 - 25 ] / [20 - 2.5]   ≈ 2.3

Thus....our "equation"   might be    y = 2.3x + 20

This is closest   to   y = 2x + 20  ⇒   2nd answer

I hope that makes sense, NSS...

You can take PM's answer to the bank, NSS

Excellent presentation, PM.......!!!!!