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√ [28x] * √[ 15x ] *   √[21x ]   =

√[ 4 * 7 * x ] * √ [3 * 5 * x ]  * √ [3 * 7 * x ]  =

√4 * √7 * √x *√ 3 *√5 *√x *√3 * √7 *√x  =

2 * √x^3 * √3^2 * √7^2 *√5  =

2 * x √x *  3 * 7 *√5  =

42x √ [ 5x ]

Thanks, your answer was right but it turns out the form wanted was 6x-5 :/ 

Since  l a l   = √ a^2....we can write

y  = 5x  - l x - 5 l  =

y =  5x - √ (x - 5)^2

P.S.  -  I don't know if this is exactly what you want, or not.....!!!!

Since the interest rate is compounded monthly, then you have:

$3,300 x 2.044% =$67.45 Interest charge at the end of the first month.

$3,300 + $67.45 =$3,367.45 Principal + interest at the end of the first month.

$3,367.45 x 2.044% =$68.83 Interest charge at the end of the second month.

$3,367.45 + $68.83 =$3,436.28 Interest + principal at the end of the second month.

$3,436.28 x 2.044% =$70.24 Interest charge at the end of the third month.

$3,436.28 + $70.24  =$3,506.52 Principal + interest at the end of the third month.

no problem

1. be confident 
2. start with a joke (make sure its funny)
3. keep the conversation running (no weard silence)
4. pick a fun topic
5. and keep eye contact but dont stare

I don't know what you mean by 'the level'.

Each of the two equations is the equation of a plane.

x+2 = 0, (x = -2) is a plane parallel with the yz plane passing through the point x = -2.

For the other, begin by thinking of the straight line z = (y + 4)/ 2 in the yz plane and then extending this, by shifting the yz plane parallel to itself for all values of x, (if that makes sense ?).

The straight line is the intersection of these two planes, so in effect the two equations taken together are the equation of the line.

The equation of the line can also be expressed parametrically, x = -2, y = 2t - 4, z = t, where t is the parameter,

You can think of this as being a single point, so the final part of the question is to calculate the value of t that minimises the distance of this point to your point P(0, -1, 1).

Tiggsy

triangles are always 180 degrees, seems like you have the outer corner, which is 116

180-116 is 64

Also it seems like you have a symmetrical triangle, which means x is (180-64)/2

To maybe elaborate what the 2 equations are, they are supposed to be levels.

n1xn2=(0;2;1)

x=2y  (1)

x^2+2x-y-y^2=36 (2)

Replace x in (2) by 2y

4y^2 +4y -y - y^2 = 36

3y^2 + 3y = 36

y^2 + y = 12 

y^2 + y - 12 = 0

(y + 4)(y - 3) = 0

Hence (i) y = -4, and using (1) x = 2*(-4) or x = -8

and     (ii) y = 3, and using (1) x = 2*3 or x = 6

4, 4/5, 4/25, 4/125 ..... =   4(1/5)^(n - 1)   where n is the nth term

1/2, -2, 8 , - 32...... 

a₁  =  (1/2) ,   a_n  =  (-4) *a_n-1

a₁=2/3;a_n=9⋅a_n−1

The terms are  2/3, 6, 54, 486......so the explicit formula is

(2/3)*9^(n - 1)      where n is the nth term

8000*(1/2)^6.......in the 6th month, the business pays  $125

a)     g(x)  =  f(x + 1)

The domain of  f  is  (-1, 1) ,  so   x + 1   has to be in the interval   (-1, 1) .

-1  <  x + 1  <  1      Subtract  1  from each part of the inequality.

-2  <  x  <  0

So the domain of  g(x)  is  (-2, 0) .

b)     h(x)  =  f(x) + 1

The domain of  f  is  (-1, 1) ,  so   x   has to be in the interval   (-1, 1) .

So the domain of  g(x)  is  (-1, 1) .

c)     j(x)  =  f( 1/x )

The domain of  f  is  (-1, 1) ,  so   1/x   has to be in the interval   (-1, 1) .

-1  <  1/x  < 1

Q  = 175000 ( 1 + .07)^t     ...... where t is the number of years after 2007

The procedure to find each point is

[ Vertex point of triangle - dilation center ] * scale factor + dilation center

First point

[ (-3,7) - (5, - 5) (1/4) + (5, -5)

[ -8, 12)(1/4) + (5, -5)

(-2, 3)  + (5, -5)

(3, -2)

Second point

[ (-7, -5) - (5, -5) ] (1/4) + (5, -5)

[ -12, 0 ] (1/4) + (5, -5)

(-3, 0) + (5, -5)

(2, - 5)

Last point

[ (9, 3)  - (5, -5) ] (1/4) + (5, -5)

[ 4, 8]  (1/4)  + (5, -5)

(1, 2)  + (5, -5)

(6, - 3)

The dotted line passes through  (4, -3)  and  (3, -4)  ,

so its slope   =   $\frac{-4--3}{3-4}$   =   $\frac{-1}{-1}$   =   1

Using the point  (4, -3)  and the slope  1 , the equation of the dotted line is

y - -3  =  1(x - 4)

y  =  x - 4 - 3

y  =  x - 7

We want our inequality's solution set to be all points on one side of this line. It will be either

y  >  x - 7     or     y  <  x - 7

Since we want  (0, 0)  to be a solution, let's test that point to find the right one.

0  >  0 - 7                            or                            0  <  0 - 7

0  >  -7      this is true.                                        0  < -7      this is false.

The inequality that has  (0, 0)  as a solution is the one we want....that is

y  >  x - 7

C   =   2π * r          Divide both sides of the equation by  2π

C / ( 2π )   =   r

y   =   -$\frac14$x + 3         Multiply every term in this equation by  4 .

4y   =   -x + 12        Add  x  to both sides of the equation.

x + 4y   =   12

2x + 3y   =   9            Subtract  2x  from both sides of this equation.

3y   =   -2x + 9           Divide every term in this equation by  3 .

y   =   -$\frac23$x + 3

4x - 3y   =   -18         To find the y-intercept, plug in  0  for  x  and solve for  y .

4(0) - 3y   =   -18

-3y   =   -18

y   =   6                      So the y-intercept is  6 .

y   =   $\frac12$x + 6        To find the x-intercept, plug in  0  for y  and solve for  x .

0   =   $\frac12$x + 6

-6   =   $\frac12$x

-12   =   x              So the x-intercept is  -12 .

(x + 2)⋅5 − 7

=  5(x + 2) − 7       by the commutative property of multiplication

=  (5x + 10) − 7       by the distributive property

=  5x + (10 − 7)       by the associative property of addition

=  5x + 3       just because  10 - 7 = 3

So the commutative property of addition is not used.

a. If he distributes  x tomatoes........the number sold is (x - 5) 

So.....the amount earned each month  is  .75(x - 5)

b. distributing 80  .....  .75 (80 - 5)  = .075 *75  = $56.25

c. Similar to the first, we have  .60 (x - 3)

d.  So we have

.75 ( x - 5)  + .60 (x - 3)   =

.75x - 3.75  + .60x - 1.80

1.35x  - 5.55  ......he is correct.....!!!!

 $3x+4y  = 5  ⇒   y  = (-3/4)x + 5/4   (1)

The slope of this line  =  -3/4

So....the slope of a perpendicular line =  4/3

And the equation of thiis line is

 y = (4/3)(x - 5) + 5

y = (4/3)x - 20/3 + 5

y = (4/3)x -5/3  (2)

Setting (1)  and (2)  equal, we have that

(-3/4)x + 5/4  = (4/3)x  - 5/3      multiply through by 12

-9x  + 15   =  16x  - 20         add 20, 9x to both sides

35  = 25x    divide both sides by 25

35/25  = 7/5  =  x

Call the amount invested in stocks, x, and the amount invested in bonds, 9000-x

So we have

.05x  +  (9000-x).08  =   525    simplify

.05x  + 720 - .08x  = 525

.03x  + 720  = 525     subtract 720 from both sides

-.03x  = -195   divide both sides by .03

x = $6500  = amt in stocks

9000 - x  = 9000 - 6500  = $2500  = amt in bonds

Call the amounts invested x and y

.06x +.05y  =  234.50   ⇒  6x + 5y  = 23450  ⇒  30x + 25y  = 117250    (1)

.05y +.06y  =   239.60 ⇒   5x + 6y  = 23960  ⇒ -30x - 36y  = -143760    (2)

Add (1)  and (2)

-11y = -26510       divide both sides by -11

$2410  =  y 

And using   1

30x = 25(2410)  = 117250

30x + 60250  = 117250

30x  = 57000  divide both sides by 30

x  = $1900 

you too! Wow.

well, good luck on your next one!!!