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Luba_88 [7]
3 years ago
10

The hourly wage is $7.50. John worked 7 hour. How much did he earn?

Mathematics
1 answer:
serg [7]3 years ago
8 0

Answer:

52.5

Step-by-step explanation:

7.50 x 7

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Find the polynomial of lowest degree with only real coefficients and having the given zeros. -7i and square root of 2
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Answer:

x³ - (√2)x² + 49x - 49√2

Step-by-step explanation:

If one root is -7i, another root must be 7i.  You can't just have one root with i.  The other roos is √2, so there are 3 roots.  

x = -7i       is one root,

   (x + 7i) = 0    is the factor

x = 7i       is one root

  (x - 7i) = 0     is the factor

x = √2      is one root

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So the factors are...

(x + 7i)(x - 7i)(x - √2) = 0

Multiply these out to find the polynomial...

(x + 7i)(x - 7i) =  x² + 7i - 7i - 49i²

Which simplifies to

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Now we have...

(x² + 49)(x - √2) = 0

Now foil this out...

 x²(x) - x²(-√2) + 49(x) + 49(-√2) = 0

     x³ + (√2)x² + 49x - 49√2

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