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ZanzabumX [31]
3 years ago
11

5. 4i(-2 - 4i)

Mathematics
1 answer:
Wewaii [24]3 years ago
4 0

Answer:

4i( - 2 - 4i) =  - 8i + 16 \\  \\ 5i.i.( - 2i) = 10i \\  \\  (- 5 - i)(1 + i) =  -5-5i-i+1\\=-4-6i

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3 years ago
30 PTS!!!!! Cole needs to include at least 11​ mg and at most 22​ mg of iron in his diet each day. Cole plans to eat multiple ba
ser-zykov [4K]

Answer:

See explanation

Step-by-step explanation:

<u>Part A:</u> If Cole eats 3​ bananas each day. These 3 bananas contain 3\cdot 0.3=0.9 mg of iron.

Let x be the number of vitamins Cole takes. Each whole vitamin contains 4​ mg of iron, then x vitamins contain 4x mg of iron.

The total amount of iron Cole takes is

0.9+4x\ mg

Cole needs to include at least 11​ mg and at most 22​ mg of iron in his diet each day, so

11\le 0.9+4x\le 22

Solve it:

11-0.9\le 4x\le 22-0.9\\ \\10.1\le 4x\le 21.1\\ \\2.525\le x\le 5.275

The smallest number of vitamins - 3, the greatest number of vitamins - 5.

<u>Part B: </u>Cole continues to eat 3​ bananas each day. He pays \$2\cdot 7=\$14 for bananas per week.

If Cole spends a total of $20​ on bananas and vitamins this week, then he spent $20 - $14 = $6 on vitamins.

Let x be the number of vitamins Cole takes this week.

First 10​ vitamins are free, then x - 10 vitamins each cost $0.50 (he pays an additional dollar for every 2​ additional vitamins he purchases) and they cost

\$0.50(x-10)

This amount of money is exactly $6, so

0.50(x-10)=6\\ \\5(x-10)=60\\ \\x-10=12\\ \\x=22

This means Cole takes 3 vitamins per day (the whole number) and he is able to meet his iron requirement every day this week, based on  answer in Part A.

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3 years ago
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svlad2 [7]
Ratio-Proportion is the answer
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4 years ago
The given equation has been solved in the table. Step Statement 1.) 3x - 10 = -16 2.) 3x - 10 + 10 = -16 +10 3.) 3x = - 6 4.) 3x
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The answer is

In step 2, the addition property of equality was applied.

In step 4, the division property of equality was applied.

Proof that the answer is correct.

3 0
4 years ago
Can someone please help?I tried -4 but it was wrong
klasskru [66]

Answer:

4?

Step-by-step explanation:

8 0
3 years ago
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