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arsen [322]
3 years ago
13

If (x+2) is a factor of 3x^2+14x+k, what is the value of k?

Mathematics
1 answer:
valkas [14]3 years ago
3 0
If (x+2) is a factor of 3x^2+14x+k, the equation must equal zero when x=-2 so:

3(-2)^2+14(-2)+k=0

12-28+k=0

-16+k=0

k=16
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The demand function for an auto parts manufacturing company is given by f(x)= 100,000-2,500, where x represents price and f(x) r
faust18 [17]

Answer

Part 1) f(x)⁻¹ = 40 - x/2,500

Part 2) quantity

Explanation

f(x)= 100,000-2,500x

In finding the inverse of F(x) we make x the suject of the formula.

f(x)= 100,000-2,500x

2,500x = 100,000 - f(x)

x = 100,000/2,500 - f(x)/2500

x = 40 - f(x)/2,500

Now interchange x with f(x).

f(x)⁻¹ = 40 - x/2,500

4 0
2 years ago
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Answer:

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Step-by-step explanation:

8 0
3 years ago
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17 to 26 <br> Help me please
Pepsi [2]

Answer:

See below

Step-by-step explanation:

17.  17x + 3 x=4              18.  -2x + 1 / 3  x= -5

      17(4) + 3                          - [(2)(-5) + 1] / 3

      68 + 3                              - [-10 + 1] /3

       71                                       9/3  or 3

19.  2x - 33 x=9              20.  - 9x - 2  x=7

      (2)(9) - 33                         -(9)(7) - 2

       18 - 33                               -63 - 2

       - 15                                       -65

21.  7/3x - 9   x=3            22.  - [12x/5]   x= -1

      (7/3)(3) - 9                         - [(12)( -1)/5]

         7 - 9                                - [ -12/5 ]

         -2                                         2.4

23.  11x - 11   x = -11         24.  (2/9)x - (9/2)   x= 9

       - 121 - 11                           (2/9)(9) - (9/2)

         -132                                  2 - (9/2)  ( 2 can be shown as 4/2)

                                                      (4/2) - (9/2)

                                                          - 5/2  or   - 2.5

25.  f(x) = 0.12x + 4.52  x = 250     26.  f(x) = 0.18x + 3.12  x= 175

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         =  34.52                                             = 34.62

4 0
3 years ago
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Kisachek [45]
If X is 5
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6 0
2 years ago
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Step-by-step explanation:

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=  { ({( {2}^{4}) }^{ \frac{3}{2} } )}^{ \frac{1}{2} }

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=  {2}^{3}

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6 0
2 years ago
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