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Gnesinka [82]
4 years ago
7

Find the solution set for the open sentence with the given replacement set? w2+9=6w,{0,3,6,9}

Mathematics
1 answer:
Charra [1.4K]4 years ago
7 0

We need to solve the equation: w² + 9 = 6w

⇒ w² - 6w + 9 = 0

⇒ w² - 3w - 3w + 9 = 0 (Breaking 6w such that their product is 9w²)

⇒ w × (w - 3) - 3 × (w - 3) = 0 (Extracting common factors)

⇒ (w - 3) × (w - 3) = 0

⇒ (w - 3)² = 0

⇒ w = 3

Hence, the correct answer is 3, which is the second option from the replacement set

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Math Geniuses, here's a question for ya! <br><br> What is 15.506 rounded to the nearest hundredth?
FinnZ [79.3K]

Answer:

15.51

Step-by-step explanation:

tens  ones. tenths  hundredths  thousands

1               5. 5               0                6

To round to the nearest hundredth, we look at the thousandths place

Since is it 5 or higher(6) we round the hundredths place up

15.506 becomes 15.51

3 0
4 years ago
Consider the hypothetical study described below. Based solely on the information​ given, do you have reason to question the resu
elena-14-01-66 [18.8K]

Answer:

(B) ​Yes, there is reason. The TV audience might not be representative of the population.

(E) ​Yes, there is reason.​ Call-in polls tend to be biased.

Step-by-step explanation:

According to the information given we might consider two answers.

The first answer is:

<em>(B) ​Yes, there is reason. The TV audience might not be representative of the population.</em>

Let's remember that for a sample to be representative of a population must be random and every person must have the same probability of being selected. Here, the question is targeted only to the TV show's audience, so the results can only be interpreted for this segment of the population.

<em>(E) ​Yes, there is reason.​ Call-in polls tend to be biased.</em>

The risk is that the people who call might be influenced by the show itself and would not give an unbiased answer. This creates a bias on the sample. Besides, as stated before, not all the elements of the population can be part of the sample.

5 0
4 years ago
Carl earned grades of 62 78 59 and 89 what is the mean of his grades
stira [4]

Answer:

72

Step-by-step explanation:

Let

Carl grades = x = 62, 78, 59, 89

Number of grades, N = 4

Mean of Carl's grade = sum of x / number of grades,N

= (62 + 78 + 59 + 89) / 4

= 288/4

= 72

Therefore, mean of Carl's grade = 72

5 0
3 years ago
Pls help me with this problem mam confused
mamaluj [8]

Answer:

Knowing others is intelligence; knowing yourself is true wisdom. mastering others is strength; mastering yourself is true power. if you realize that you have enough, you are truly rich, "And the cause of not following your heart, is in spending the rest of your life wishing you had."

Explanation:

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7 0
3 years ago
Read 2 more answers
What is a formula for the nth term of the given sequence?<br> 180, -240,320...
Semmy [17]

Answer:

Tn=T1+(n-1)*d

Step-by-step explanation:

Tn is the nth term

T1 is the first term of the sequence

n is the nth term as well

d is the common difference

8 0
3 years ago
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