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lara [203]
3 years ago
14

For what real numbers x is the value of x2 – 6x + 9 negative

Mathematics
2 answers:
sammy [17]3 years ago
7 0
This is the concept of quadratic equations. The equation has the original form of y=ax^2+bx+c. Our equation is given by y=x^2-6x+9. Since our leading coefficient is positive, then it means that our function will not be negative at any point. In other words, the range is [0,∞). Hence we conclude that the function will be no where negative.
Nutka1998 [239]3 years ago
3 0
A real numbers are numbers that can be found on a number line, they include both rational and irrational numbers.
We can first solve the equation;
x² - 6x + 9 =0, using completing square method;
 x²- 6x + (-3)² = -9 + (-3)²
     (x-3)² = 0
       x = 3
therefore,  both values of x are 3, thus the expression has no real number x is negative.
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Jessica is organizing a guided tour of the rain forest. The average profit per person that the touring company makes is given by
Allushta [10]

As a practical equation, this one doesn't make much sense -- why would the profit per person have a term proportional to the number of people?  Let's just go with it.

18x + \dfrac{35}{x}

= \dfrac{18x^2}{x} + \dfrac{35}{x}

= \dfrac{18x^2 + 35}{x}

That's the answer to the first part.

35/x represents a portion of the profit that's 35/x per person, or a constant $35 per tour.

4 0
3 years ago
“the product of a number and 3 is the same as the sum of that number and sione half of a number is 8 less than the number itself
3241004551 [841]

Answer:

USE GOOGLE BEFORE COMING HERE

Step-by-step explanation:

7 0
3 years ago
The U.S. Bureau of Labor Statistics reports that of persons who usually work full-time, the average number of hours worked per w
alukav5142 [94]

Answer:

The standard deviation of number of hours worked per week for these workers is 3.91.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem we have that:

The average number of hours worked per week is 43.4, so \mu = 43.4.

Suppose 12% of these workers work more than 48 hours. Based on this percentage, what is the standard deviation of number of hours worked per week for these workers.

This means that the Z score of X = 48 has a pvalue of 0.88. This is Z between 1.17 and 1.18. So we use Z = 1.175.

Z = \frac{X - \mu}{\sigma}

1.175 = \frac{48 - 43.4}{\sigma}

1.175\sigma = 4.6

\sigma = \frac{4.6}{1.175}

\sigma = 3.91

The standard deviation of number of hours worked per week for these workers is 3.91.

6 0
3 years ago
Your brother ordered some pens on the internet. It cost 2$ for each pen and the shipping fee is 3$. If your brother paid a total
Mars2501 [29]

Answer:

10pens

Step-by-step explanation:

23-3=20

20÷2=10

5 0
3 years ago
15% of the students in school eat hot lunch if 108 have hor lunch how many students attended school
Pani-rosa [81]
15% of the students in the school eat hot lunch. 
15%=108 
 
108 is 15% of 720

3 0
3 years ago
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