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amid [387]
3 years ago
11

What happens to the value of the expression 35 + k as k decreases?

Mathematics
1 answer:
Strike441 [17]3 years ago
5 0
<h3>Answer:  The expression 35+k decreases as well</h3>

Explanation:

Let's say k = 10. This would mean 35+k = 35+10 = 45

Now let's drop k to k = 5. So 35+k = 35+5 = 40

We see that because k decreased from k = 10 to k = 5, the value of 35+k also decreased from 45 to 40.

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3 years ago
Find the polynomial of lowest degree with only real coefficients and having the given zeros. -7i and square root of 2
mario62 [17]

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

    (x - √2) = 0   is the factor

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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    x² - 49(-1)  

 

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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

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7 0
3 years ago
Mrs.Gomez paid $780 for a new backyard fence. A new gate cost and additional $225. The fencing was a total of 120 feet. What was
In-s [12.5K]
I’m not sure what the gate has to do with the problem, but you should just divide 780 by 120 to get 6.5. In other words, each foot costs $6.50.
5 0
3 years ago
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