All Answers 358090 Answers

571876559365074865074.6

(a+2b-c)(2b+c-a)(c+a-b)=4abc

If a, b, a are in A.P.    ....we have that......

a = a

b = a + d

c = a + 2d

(a+2b-c)(2b+c-a)(c+a-b)=4abc

[ a + 2(a + d) - (a + 2d] [ 2(a + d) + (a + 2d) - a ] [ (a + 2d) + a - (a + d) ]  = 4[a][a + d] [a + 2d]

[ 2a] [ 2a + 4d] [ a + d ]  =  4a [a^2 + 3ad + 2d^2]

[ 4a^2 + 8ad] [ a + d ]  =   4a^3  + 12a^2d + 8ad^2

4a^3 + 8a^2d + 4a^2d + 8ad^2  = 4a^3  + 12a^2d + 8ad^2

4a^3 + 12a^2d + 8ad^2  = 4a^3 + 12a^2d + 8ad^2

155/1000

Let x be the additional number of sets sold after 20....and total revenue  = quantity * price

Let the total revenue be represented by R(x)

Let  the total sets = (20 + x)

Let the price = (600 - 10x)

So we have

R(x)  = (20 + x)(600 - 10x)     simplify

R(x)  =  -10x^2 + 400x + 12000

The number of additional sets sold after 20  is given by the x coordinate of the vertex =  -b/ 2a  =

-400/ [2(-10)] =     -400/-20]  =  20

So  the number of additional sets sold after 20   = 20 more  = 40

And the number of total sets that will maximize revenue  = (20 + x)  = (20 + 20 ) = 40

And the price that maximizes revenue  = (600 - 10(20 )  = (600 - 200)  = $400

And the max revenue  = (20 + 20)(600 - 10(20)  =  (40)(600 - 200)  = (40)(400)  = $16000

The height, h,  is given by :

6/9 = h/ 24      cross-multiply

24*6 = 9h

144  = 9h      divide both sides by 9

16  = h

The scale factor from the height of the tree to the height of the person = 6/16  = 3/8

The scale factor from the height of the person to the height of the tree  = 16/6 = 8/3

\(\sqrt{2x-5}=\sqrt{3x-12}\)

\(2x-5=3x-12\)

\(2x=3x-7\)

\(-x=-7\)

\(x=7\)

sqrt(2*x-5)=sqrt(3*x-12)

Square both sides

2x - 5 =  3x - 12

Subtract 2x from both sides, add 12 to both sides

7 = x

That would be 859.86 + 0.07 because 7% is equal to 0.07. Your answer would be 859.93. :-)

Woohoo! :D

But aren't they keys that lock something?

But you can have a heart under LOCK and key.

a shoe.

x-ray vision

stockings.

it could also be a heart

My keyboard has a  caps LOCK and a num LOCK !!

yes correct

-x^2-2=0    Multiply both sides by -1 (just to make it a little easier to visualize)

x^2+2=0

x^2=-2

x = i sqrt2   or i (-sqrt2)

A keyboard. 

It has KEYS, it has SPACE, and you can ENTER.

x=5

the area of a rectangel is given by expression x²+6x-16 what are the dimesions of the rectangle?

(x+8) by (x-2)

(x+4)(x+4)

(x-4)(x+4)

G= Girls   10-G = Boys

G(2.25) + (10-G)1.75 = 20.5

2.25G + 17.5 - 1.75G = 20.50

.5G = 3.00

G=6    then B=4

the answer would be 

4x+12

because you can't add a variable and a constant