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Ganezh [65]
3 years ago
7

Colton has n nickels and d dimes. He has no more

Mathematics
1 answer:
pantera1 [17]3 years ago
5 0

Answer:

(`n*0.05)+(d*0.10)<2

Step-by-step explanation:

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An investment is currently worth 1.2 x 10^7 dollars. Twenty years ago, the investment was worth 9.6 x 10^5 dollars.
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(p^3 - 56p + 57) ÷ (p + 8) using synthethic division
pav-90 [236]
We need to perform division given the following expression:

                            p²    - 8p   + 8
 
                          -------------------------------
              (p+8) 
√ (p³  + 0p²  -56p  +57)
                           - (p³  + 8p²)
                            ---------------------------- 
                               0p³  - 8p² -56p   + 57
                                      - (-8p    - 64p)
                                     --------------------------
                                         0p²   + 8p + 57
                                                - (8p  + 64)
                                             --------------------------
                                                    0  - 7 

The answer is p²-8p+8 + (-7/p³-56p+57).
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A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the rectangle is the intersection
svet-max [94.6K]

Answer:

x  =  2  cm

y  = 2  cm

A(max) =  4 cm²

Step-by-step explanation: See Annex

The right isosceles triangle has two 45° angles and the right angle.

tan 45°  =  1  =  x / 4 - y        or     x  =  4  -  y     y  =  4  -  x

A(r)  =  x* y

Area of the rectangle as a function of x

A(x)  =  x  *  (  4  -  x )       A(x)  =  4*x  -  x²

Tacking derivatives on both sides of the equation:

A´(x)  =  4 - 2*x             A´(x)  =  0            4   -  2*x  =  0

2*x  =  4

x  =  2  cm

And  y  =  4  - 2  =  2  cm

The rectangle of maximum area result to be a square of side 2 cm

A(max)  = 2*2  =  4 cm²

To find out if A(x) has a maximum in the point  x  =  2

We get the second derivative

A´´(x)  =  -2           A´´(x)  <  0   then A(x) has a maximum at  x = 2

5 0
2 years ago
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