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Mrac [35]
3 years ago
15

Use the boundedness theorem to determine whether the polynomial function satisfies the given condition. The polynomial f(x) = x4

- 9x3 - 22x2 has no real zero greater than 8.

Mathematics
1 answer:
7nadin3 [17]3 years ago
6 0

Answer:

So f(x) has no real greater than 8. Step - by - step explanation is shown in the attachment.

Step-by-step explanation:

Let f ( x) be a polynomial with real coefficients and with a positive lending coefficient.

If f(x) is divided by x-c and

a) if c>0 and all number in the bottom row of the synthetic division are non negative , then f(x) has no zero greater than c.

b ) if c<0 and the number in the bottom row of the synthetic division alternate in sign  then f (x) has no zero less than c

As shown in the figure

Since the number in the bottom row of the synthetic division alternate in sign

So f(x) has no real greater than 8

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Step-by-step explanation:

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Kelly owns a farm, there are ducks and cows in her farm, there are a total of 47 heads and 128 legs. How many of each kind of an
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3 years ago
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Mnenie [13.5K]

Answer:

C) Jo's drink will have a stronger orange taste

Step-by-step explanation:

tropical punch calls for 2 liters of pineapple juice and 3 liters of orange juice.

total is 2+3 = 5 liters

pineapple = 2/5

orange = 3/5

Jo creates a drink by mixing 3 liters of pineapple juice with 4

total = 7

pineapple = 3/7

orange = 4/7

Get a common denominator to compare

5 and 7 = 35

tropical punch

pineapple = 2/5 *7/7 = 14/35

orange = 3/5*7/7 = 21/35

Jo

pineapple = 3/7*5/5 = 15/35

orange = 4/7*5/5 = 28/35

Jo will have both a stronger pineapple and orange taste than the tropical drink and the orange will be stronger than the pineapple in her drink

5 0
3 years ago
At the movie theater, childs admission is $6.10. Adult admission is $9.40. On Tuesday four times as many adult tickets as child
Harlamova29_29 [7]

Answer:

The number of children's tickets sold was 27

Step-by-step explanation:

Let

x ----> the number of children's tickets sold

y ----> the number of adult's tickets sold

we know that

6.10x+9.40y=1,179.90 ----> equation A

y=4x ----> equation B

Solve the system by substitution

Substitute equation B in equation A

6.10x+9.40(4x)=1,179.90

solve for x

6.10x+37.6x=1,179.90

43.7x=1,179.90

x=27

therefore

The number of children's tickets sold was 27

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