Ask question

Ask question

All categories

2 years ago

8

According to the Rational Root Theorem, which statement about f(x) = 66x4 – 2x3 + 11x2 + 35 is true? Any rational root of f(x) i

s a factor of 35 divided by a factor of 66. Any rational root of f(x) is a multiple of 35 divided by a multiple of 66. Any rational root of f(x) is a factor of 66 divided by a factor of 35. Any rational root of f(x) is a multiple of 66 divided by a multiple of 35.

2 answers:

Kamila [148]2 years ago

3 0

Answer:

The correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....

Step-by-step explanation:

According to the rational root theorem:

if $a_{0}$ and $a_{n}$ are non zero then each rational solution x will be:

x= +/- Factors of $a_{0}$ / Factors of $a_{n}$

In the given polynomial we have:

66x4 – 2x3 + 11x2 + 35

$a_{0}$ = 35

$a_{n}$ = 66

Therefore,

x= +/- Factors of 35/ Factors of 66.

Thus the correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....

katovenus [111]2 years ago

3 0

Answer:

A

Step-by-step explanation:

trust bro

You might be interested in

Ten people, including Fred, are in the Jazz Club. They decide to form a 3-person steering committee. How many possible committee

Anastasy [175]

Answer:

30

Step-by-step explanation:

7 0

2 years ago

The aquarium at Sea Critters Depot contains 140 fish. Eighty of these fish are green swordtails (44 female and 36 male) and 60 a

maxonik [38]

Given that:

Total number of fish = 140

Fish are green swordtails female = 44

Fish are green swordtails male = 36

Fish are orange swordtails female = 36

Fish are orange swordtails male = 24

Solution:

A. We have to find the probability that the selected fish is a green swordtail.

$\text{P(green swordtail)}=\dfrac{\text{Total green swordtail fish}}{\text{Total fish}}$

$\text{P(green swordtail)}=\dfrac{80}{140}$

$\text{P(green swordtail)}=\dfrac{4}{7}$

Therefore, the probability that the selected fish is a green swordtail is $\dfrac{4}{7}.$

B. We have to find the probability that the selected fish is male.

$\text{P(Male fish)}=\dfrac{\text{Total male fish}}{\text{Total fish}}$

$\text{P(Male fish)}=\dfrac{36+24}{140}$

$\text{P(Male fish)}=\dfrac{60}{140}$

$\text{P(Male fish)}=\dfrac{3}{7}$

Therefore, the probability that the selected fish is a male, is $\dfrac{3}{7}.$

C. We have to find the probability that the selected fish is a male green swordtail.

$\text{P(Male green swordtail)}=\dfrac{\text{Total male green swordtail fish}}{\text{Total fish}}$

$\text{P(Male green swordtail)}=\dfrac{36}{140}$

$\text{P(Male green swordtail)}=\dfrac{9}{35}$

Therefore, probability that the selected fish is a male green swordtail is $\dfrac{9}{35}.$

D.

We have to find the probability that the selected fish is either a male or a green swordtail.

$\text{P(Male or green swordtail)}=\dfrac{\text{Total male or green swordtail fish}}{\text{Total fish}}$

$\text{P(Male or green swordtail)}=\dfrac{44+36+24}{140}$

$\text{P(Male or green swordtail)}=\dfrac{96}{140}$

$\text{P(Male or green swordtail)}=\dfrac{24}{35}$

Therefore, the probability the selected fish is either a male or a green swordtail is $\dfrac{24}{35}.$

4 0

2 years ago

Karen finished watching a movie at 1:00 PM. The movie lasted 1 hour 38 minutes. at what time Karen started watching the movie. -

Andrew [12]

The correct answer would be 11:32am. i hope this helps!

6 0

2 years ago

Read 2 more answers

Write the fraction in ascending order.

sveta [45]

from most to least:

i: 1/2, 1/3, 1/7, 1/10

ii: 2/3, 2/5, 2/9, 2/11

iii: 5/6, 3/4, 2/3, 1/2

iv: 4/5, 3/4, 5/8, 1/2

7 0

2 years ago

Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her

CaHeK987 [17]

Answer:

Her expenses are $25 per week.

Step-by-step explanation:

Given :Jessica earns a commission on each sale but has to pay for her own expenses.

She writes the equation of the function like this: $E(x) = 7x - 25$ , where x is the number of doors she knocks on during the week and E(x) is her earnings for the week in dollars.

To Find: Which of the following are reasonable interpretations of the y-intercept of Jessica's function?

Solution:

$E(x) = 7x - 25$

x is the number of doors she knocks on during the week

E(x) is her earnings for the week in dollars.

Calculate y intercept

Substitute x = 0

$y= - 25$

Since E(x) is her total earning after clearing the payment of all her expenses.

So, 25 is her expenses per week.

Since we are given that she need to pay her expenses .

So, if there is no sale , still she need to pay expenses.

Thus the reasonable interpretations of the y-intercept of Jessica's function is Her expenses are $25 per week.

4 0

2 years ago

Read 2 more answers