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joja [24]
3 years ago
13

Determine whether the rational root theorem provides a complete list of all roots for the following

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
4 0

Answer:

1) Yes

2) No, this polynomial has complex roots

3) No, this polynomial has irrational roots

Step-by-step explanation:

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A complex number z=a+bi had an absolute value of 3.28. What could the values of a and b be ? A.a=1.5,b=1.7 C.a=1.7,b=2.8
Levart [38]
The given complex number is ⇒ z = a + b i
The absolute value of z = √( a² + b² ) = 3.28
So, we will check which of the options will give 3.28

<span>( A) IF ⇒⇒ a=1.5 and b=1.7
</span>
<span>∴ √( a² + b² ) = √( 1.5² + 1.7²) = √5.14 ≈ 2.27
</span>
===================================

<span>(B) IF ⇒⇒ a=1.5 and b=3.3
</span>
<span>∴ √( a² + b² ) = √(1.5² + 3.3²) = √13.14 ≈ 3.62
</span>
====================================

<span>(C) IF ⇒⇒ a=1.7 and b=2.8
</span>
<span>∴ √( a² + b² ) = √(1.7² + 2.8²) = √10.73 ≈ 3.28
</span>
====================================

<span>(D) IF ⇒⇒ a=2.8 and b=3.3
</span>
∴ √( a² + b² ) = √(2.8² + 3.3²) = √18.73 ≈ 4.33
=====================================
So, the correct answer is option (C) <span>a=1.7,b=2.8</span>
4 0
3 years ago
The number of students in a chess club decreased from 14 to 12. What is the percent decrease? Round your answer to the nearest p
Zolol [24]

Answer:

14.2857% decrease

≈ 14.3% decrease

Step-by-step explanation:

nearest tenths : 14.3%

nearest hundredths : 14.29%

nearest thousandths : 14.286%

I hope my answer is correct, I provided more options because I wasn't sure what nearest percent wanted.

Hope this helps!

8 0
3 years ago
What's -8 + (-1 1/8)
gogolik [260]
I think the answer is 9.375 if it needs to be in decimal form. If it needs to be in fraction form it would be improper, 9 3/8 would be the fraction. Hope it helps! 
6 0
3 years ago
If 340 = 7 + 20x + 3. find the value of x​
choli [55]

Answer:

340-3-7 = 20x

330 = 20x

x = 16.5

8 0
2 years ago
Read 2 more answers
Find te range, medían, and mode
sveticcg [70]
Range: The highest/biggest number subtracting the smallest number

Median: The middle number - put all the numbers in a numerical order (from smallest to the largest), and then find the number in the middle 

Mode: The most common number 

4 0
3 years ago
Read 2 more answers
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