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BaLLatris [955]
3 years ago
8

Juan ran the lemonade stand for 3 more days. Each day, he used the money from sales to purchase more lemons, cups, and sugar to

make more lemonade. On day 2, he earned $16 and spent $7 on supplies. On day 3, he earned $22 and spent $12. The expression 16 – 7 + 22 – 12 can be used to model the situation for these 2 days. Identify the expression that uses adding the additive inverse to rewrite the expression.
Mathematics
2 answers:
larisa [96]3 years ago
8 0

Answer:

16 + -7+22 -12+18 -9

= 28

kotykmax [81]3 years ago
7 0

3 number of days are given form different activities of sales and purchase.

Day 2:

Earnings : $16

Spendings : $7.

Day 3:

Earnings : $22

Spendings : $12.

Please note: We always add the Earnings and Subtract the Spendings.

Therefore, the expression can be used to model the situation for these 2 days as

First day earning - First day spendings + Second day earning - Second day spendings

16-7 + 22 -12.

In order to write the expression as adding the additive inverse, we need to factor out minus from second group by making expression into two groups.

We will write two positive numbers in first group and two negative numbers in second group.

(16+22) + (-7-12).

Factoring out minus sign from second group, we get

(16+22) - (7+12)

This expression in additive inverse form now.


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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
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

  x² - 49i²        since i² = -1 , we have

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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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