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lakkis [162]
3 years ago
13

What are the roots of the polynomial equation? (picture below)

Mathematics
2 answers:
ikadub [295]3 years ago
7 0

Answer:

-9, 0, 7

Step-by-step explanation:

Finding the roots of a polynomial equation is the same as solving the equation. So, simply figure out which values make the equation equal 0.

If multiplication is involved, then 0 is always an answer (or root). Because anything multiplied by 0 is always 0.

7 is also a root:

7 - 7 = 0

Same with -9:

-9 + 9 = 0

Marat540 [252]3 years ago
3 0

Answer:

x = - 9, x = 0, x = 7

Step-by-step explanation:

Given

\frac{1}{2} x(x - 7)(x + 9) = 0 ← in standard form

Equate each factor to zero and solve for x

\frac{1}{2} x = 0 ⇒ x = 0

x - 7 = 0 ⇒ x = 7

x + 9 = 0 ⇒ x = - 9

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A company produces electric insulators. The strength of the insulators is important since a broken insulator may cause a short c
prisoha [69]

Answer:

A company produces electric insulators. The strength of the insulators is important since a broken insulator may cause a short circuit. Unfortunately, the strength varies significantly due to the material. Because of the expense, only a limited number of insulators could be tested. The engineers sampled 25 insulators (From a production run of 200), and conducted a destructive test to determine the force that was required to break the insulators. The mean value of this force was 1723 lbf with a sample standard deviation of 90 lbf. You may approximate the population standard deviation with the sample standard deviation for the following questions. a. Determine if the population is large enough or if a finite population correction (FPC) factor is needed. If so, what is the FPC factor? b. For 95% confidence, determine the margin of error (+ lbf) c. For these conditions, estimate the range of the probable population mean. Provide lower and upper values. For 95% confidence, determine the margin of error ( Assume the same mean and sample standard deviation. What is one advantage and one disadvantage of using 50 insulators instead of 25 insulators? d. lbf) if 50 insulators were tested.

Step-by-step explanation:

6 0
2 years ago
Please solve and explain for number 2
chubhunter [2.5K]
The ratios as fractions are 6/8 and 9/11.
Since they are not compare because they have different denominators you must find the Least Common Multiple of the two fractions.
Since 8 and 11 both can go into 88, we can use that as our denominator.
6/8 times 11/11 equals 66/88     and    9/11 times 8/8 equals 72/88.
66/88 is less than 72/88.

Therefor, Mix B is the reddest mixture.

Hope this helped!! :)
8 0
3 years ago
Different hotels in a certain area are randomly selected, and their ratings and prices were obtained online. Using technology, w
Savatey [412]

Answer:

a. y= 130x + 350 + \epsilon

b. The symbol y-bar represents the average price of hotels in the area

Step-by-step explanation:

a. The regression line equation is given by:

y=\alpha x + \beta + \epsilon

Where Alpha represents the slope, Beta represents the intercept with the Y axis, and epsilon represents the random component of the model. Thus,

\alpha = 130 y \beta = 350  Obtaining:

y= 130x + 350 + \epsilon.

b.  In a simple linear regression model the value of y-bar represents the average of all values ​​of y observed. Thus, since y represents the prices of the hotels, then y-bar is the average price of hotels in the area.

5 0
3 years ago
You decide to enter in a rowing competition. To train, you go to the boat house and begin rolling down stream. You row for the s
fredd [130]

Answer:

Time spent rowing down stream =100\ seconds

Speed of boat in still water =14\ ms^{-1}

Step-by-step explanation:

Let speed of boat in still water be = x\ ms^{-1}

Speed of current = 10\ ms^{-1}

Speed of boat down stream = \textrm{Speed of boat in still water +Speed of current}= (x+10)\ ms^{-1}

Distance rowed down stream = 2400 m

Time spent rowing down stream = \frac{Distance}{Speed}=\frac{2400}{x+10}\ s = \frac{Distance}{Speed}=\frac{2400}{x+10}\ s

Speed of boat up stream = \textrm{Speed of boat in still water -Speed of current}= (x-10)\ ms^{-1}

Distance rowed up stream = \frac{1}{6} \textrm{ of distance rowed downstream}=\frac{1}{6}\times 2400 = 400\ m

Time spent rowing up stream = \frac{Distance}{Speed}=\frac{400}{x-10}\ s

We know that,

\textrm{Time spent rowing down stream =Time spent rowing up stream}

So,

\frac{2400}{x+10}=\frac{400}{x-10}

Cross multiplying

2400(x-10)=400(x+10)

Dividing both sides by 400

\frac{2400(x-10)}{400}=\frac{400(x+10)}{400}

6(x-10)=x+10

6x-60=x+10

Adding 60 to both sides.

6x-60+60=x+10+60

6x=x+70

Subtracting both sides by x

6x-x=x+70-x

5x=70

Dividing both sides by 5.

\frac{5x}{5}=\frac{70}{5}

∴ x=14

Speed of boat in still water =14\ ms^-1

Time spent rowing down stream =\frac{2400}{14+10}=\frac{2400}{24}=100\ s

3 0
3 years ago
0.40 pounds of spinach for $2.38 how much did the spinach cost per pound
makkiz [27]
$2.38/0.40 lb = $5.95/1 lb
The spinach cost $5.95 per pound.

Hope this helps you:)
6 0
3 years ago
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