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1+3/1+2/1+2/1+2/1+2/1+... = 7/3.

x^3 + 1/x^3 = 21.

Let Dane has D, Enzo had E and

Fraser has F game cars at first.

(a) According to the question,

                  D = 2/5E     and E = 6F

             => D = \( {2\over 5}\) * 6F = \( {12 \over 5}F\)

Now the ratio of Dane's share to Enzo's share

       to Fraser's  share is

        D : E : F = 12/5 K: 6F : F

                      = 12/5 : 6 : 1

                      = 12 : 30 : 5

(b) Let Dane lost 'y' game cards in school.

    From the first         part (a)   Let Dane had 12x,

    Enzo had 30x and Fraser had 5x game card at

    first.

    According to the question,

           12x - y = 1/7 (30x + 5x)

         => 12x - y = 1/7 * 35⁵x

         => 12x - y = 5x

            => y = 7x    ------- (1)

     Also given three boys had 250 game cards altogether

            in the end.

        So,   (12x - y) + 300x + 5x = 250

           => (12x - 7x) + 35x = 250

           => 5x + 35x = 280

           => 40x = 280

            => x = 7

Dane lost y = 7x = 7 * 7 = 49 game cards in school.

(WY - VX) / 2  =  U     --->     (WY - VX) / 2  =  30     --->     WY - VX  =  60

360 - [ arc(XY) + arc(VW) ]  =  WY + VX     --->     360 - [ 120  + 130 ]  =  WY + VX

                                                                     --->     110  =  WY + VX

Putting the two equations together:       WY + VX  =  110

                                                               WY - VX  =  60

                                                                       2WY  =  170     --->     WY  =  85     --->     VX  =  25

The formula for the sum of an arithmetic series is:  Sum  =  n(a + l) / 2

where  n = number of terms     a = first term    l = last term

The sum of the first 3n positive integers is:  Sum  =  3n(1 + 3n) / 2

The sum of the first n positive integers is:    Sum  =  n(1 + n) / 2

The equation becomes:  3n(1 + 3n) / 2  =  150  +  n(1 + n) / 2

Solving:                               3n(1 + 3n)  =  300 + n(1 + n)

                                               3n + 9n²  =  300 + n + n²

                                              8n² + 2n - 300  =  0

                                        4n² + n - 150  =  0

                                     (4n + 25)(n - 6)  =  0

                                                           n  =  6

The sum of the first 4n positive integers is:  Sum  =  4n(1 + 4n) / 2

Since 4n = 24, the sum is ...

What is the measure of arc LOM?

\(arc\ LOM=72\ Degrees=\frac{9}{20}\pi\)

Let, the number of toys Ahmad have at first = x

Number of toys Eddie have at first = y

System of equation are given by:

⇒ y = \( {5 \over 8}x………….(i)\)
and,

⇒ \( {0.7x \over y+17} = {2 \over 3}\)
⇒ 2.1x = 2y + 34

⇒ 2.1x = \(2 ({5 \over 8}x)+34\)

⇒ 2.1x = \( {5 \over 4}x + 34\)
⇒ 2.1x - \({5\over 4}x + 34\)

⇒ \( {8.4 - 5x\over 4} = 34\)
⇒ 3.4x = 136

⇒ x =\( {136 \over 3.4}\)
Put value of x in \((i):\)
⇒ y = \( {5 \over 8}(40)\)

⇒ y = 25

So, number of toys Ahmad have at first = 40

Number of toys Eddie have in the end = 25 + 17 = 42

its a tough one

From https://web2.0calc.com/questions/what-is-the-value-of-b-c-if-x-2-bx-c-gt-0-only-when

What is the value of 

\(\text{b+c if }\;\;x^2+bx+c>0\qquad \text{only when }\;\;x\in (-\infty, -2)\cup(3,\infty)?\)

Well that means that  y cannot not be positive for  x in [-2,3]

So the roots are x=-2 and x=3 and it is concave up

so the expression is

\((x+2)(x-3) = x^2-x-6\)

You can do the addition.

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\(1/4(2)(71)6\) = 213

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Here's a "mock"  pic

           C

    10                    20            

A              15                B   

Side  AB  = 15......side  BC  =  20   

If B is bisected....we have this ratio

BC / AB   =  longer segment  DC / shorter segment AD 

20/15   =  DC / AD

4/3  =  DC / AD

Thus.......AC  is split into 7 equal parts...and  DC  is 4 of these....so its length is

(4/7)  * 10   =   40/7 units

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Midpoint Formula: (x, y) = [(x1 + x2)/2, (y1 + y2)/2]

Plug in the numbers and get (1.5, -1).

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What is the perimeter?

Hello Guest!

\(A=\sqrt{2^2+2^2}+\sqrt{1+1}+\sqrt{2^2+2^2+1+1}=\sqrt{8}+\sqrt{2}+\sqrt{10}\)

\(A=7.40\)

  !

m+a = 496
2/3 m + 1/5 (a + 1/3 m) = 4/5 (a + 1/3 m)
m = 279

Equation of a line that is  perpendicular to y=4x+5 through the point (8,3).

Hello Guest!

\(y=4x+5\)

\(slope = 4\\ m=- \frac{1}{slope}=-\frac{1}{4}\)

Point-direction equation:

\(y=m(x-x_P)+y_P\\ y=-0.25(x-8)+3\)

\(y=-0.25x+5\)

  !

amount at beginning
Andrew = Blake = x

after eventful day:
Andrew has x - 10
Blake has x + 56

Andrew has one-third as much money as Blake
--->
x - 10 = (1/3)(x+56)
multiply by 3
3x - 30 = x + 56
2x = 86
x = 43

From the diagram   sin 27 = opp/hyp

                               sin27 = x/164

x = 164 sin 27 =~ 74.45

s = salary

1/5 s + 500      Spent on PS4      what he has left:   s - (1/5s + 500) =  4/5 s - 500

Spends 50 +  3/4 of what is left

  3/4 ( 4/5 s - 500)  + 50 

 12/20 s -325

                 now he has    4/5 s - 500    - (  12/20 s -325)

                                          -4/20 s -175  

  and this = 10

-4/20 s - 175 = 10 

   s = 925

             You should be able to find part A       

Who is that supposed to be for?

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Yeah, like electricpovlov said. Maybe ask a few questions, but 15 is waaaay tooooo much.

just eat your darn crispy oats

This link is blocked on my computer. Could you instead post the image in your question?

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f(x) = 2x-1

f (h(x)) =    2 (2^x) -1   =  2^x+1 -1  

'X' is the vertex

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choices for answers:

F

T

X

none