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Ivan
3 years ago
12

Solve for v. (v-1)^2 = 2v^2 -5v -17 If can be more than one solution or no solution

Mathematics
1 answer:
GuDViN [60]3 years ago
3 0
             (v - 1)² = 2v² - 5v - 17
     (v - 2)(v - 2) = 2v² - 5v - 17
v² - 2v - 2v + 4 = 2v² - 5v - 17
       v² - 4v + 4 = 2v² - 5v - 17
    <u>- v²                  - v²               </u>
            -4v + 4 = v² - 5v - 17
          <u>+ 5v              + 5v        </u>
               v + 4 = v² - 17
               <u>   + 17     + 17</u>
             v + 21 = v²
                     0 = v² + v + 21
      v² + v + 21 = 0
                     v = <u>-(1) +/- √((1)² - 4(1)(21))</u>
                                           2(1)
                     v = <u>-1 +/- √(1 - 84)</u>
                                      2
                     v = <u>-1 +/- √(-83)
</u>                                    2<u>
</u>                     v = <u>-1 +/- 9.11i
</u>                                    2<u>
</u>                     v = -1 <u>+</u> 4.555i<u>
</u>                     v = -1 + 4.555i        v = -1 - 4.555i

There is more than one solution.

<u />
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Convert 16 feet into meters using the conversion factor 1 meter = 3 feet
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Answer:

5.33 repeating

Step-by-step explanation:

Divide 16 by 3 to convert to meters

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3 years ago
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Answer:

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Step-by-step explanation:

The $30 rental fee is a flat fee.

The $15 per day can be noted as 15x.

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3 years ago
Solve the inequality 2x - 3
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6 0
2 years ago
A quadratic function is given. f(x) = 1 + x − 7 x2 (a) Use a graphing device to find the maximum or minimum value of the quadrat
Virty [35]

Answer:

a) P (x,y) \approx (0.1,1.05), b) P(x,y) = (0.07,1.04).

Step-by-step explanation:

a) The graphic is enclosed to the problem. By visual inspection, an absolute maximum is found.

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b) The exact method consists in the application of the First and Second Derivative Tests. First and second derivatives are, respectively:

f'(x) = 1 - 14\cdot x

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The First Derivative Test consists in equalizing the first derivative to zero and solving the expression:

1 - 14\cdot x = 0

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According to the second derivative, the critical point leads to a maximum. The remaining component is determined by evaluation the polynomial:

y = 1 +0.07-7\cdot (0.07)^{2}

y = 1.04

The exact solution is P(x,y) = (0.07,1.04), indicating that graphic solution leads to a good approximation.

6 0
3 years ago
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Answer:

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Step-by-step explanation:

84%

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