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3 years ago

If a polynomial function f(x) has roots 0, 4, and 3+ /11, what must also be a root of f(x)?

Mathematics

1 answer:

seropon [69]3 years ago

6 0

Answer:

3 - $\sqrt{11}$

Step-by-step explanation:

Assuming the root given is 3 + $\sqrt{11}$

Radical roots occur in conjugate pairs, thus

if 3 + $\sqrt{11}$ is a root , then 3 - $\sqrt{11}$ is also a root

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A particle is moving along the curve y= 4sqrt(5x+11) . As the particle passes through the point (5,24) , its -coordinate increas

kupik [55]

The rate of change of the distance from the particle to the origin at this instant is 3 units per second.

<h3>What is the rate of change?</h3>

The instantaneous rate of change is the rate of change at a particular instant.

A particle is moving along the curve

$y= 4\sqrt{5x+11} .$

The rate of change of y is given as:

dy / dx = 2

by differentiating both sides,

$\dfrac{dy}{dx} = 4\dfrac{1}{2\sqrt{5x+11} } 5\dfrac{dx}{dt} \\\\\dfrac{dy}{dx} = \dfrac{10}{\sqrt{5x+11} }\dfrac{dx}{dt}\\\\$

From the question, we have:

(x, y) = (5,24)

Substitute 5 for x and dy / dx = 2

$\dfrac{dy}{dx} = \dfrac{10}{\sqrt{5x+11} }\dfrac{dx}{dt}\\\\\\5= \dfrac{10}{\sqrt{5(5)+11} }\dfrac{dx}{dt}\\\\\\\sqrt{5(5)+11} = 2\dfrac{dx}{dt}\\\\\\\dfrac{dx}{dt} = 6/ 2 = 3$

Hence, the rate of change of the distance from the particle to the origin at this instant is 3 units per second.

Read more about rates of change at:

brainly.com/question/13103052

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8 0

2 years ago

en la pescaderia de un centro comercial se vende por la mañana 3/4 partes del pescado que tenían. por la tarde se vende 4/5 de l

Sedbober [7]

Answer:

Ta fácil le quedan 5 kilos :v de que grado es esto._.

5 0

3 years ago

Use the diagram shown to find the volume of the sphere. Use 3.14 for pi. Round your answer to the nearest hundredth.

Tom [10]

V=3.14*4/3*r^3
r=4/2=2
v=3.14*4/3*2^3=33.4933333
B

4 0

3 years ago

Read 2 more answers

Suppose you have an experiment where you flip a coin three times. You then count the number of heads. a.)State the random variab

WITCHER [35]

Answer:

a) X=number of heads observed when flipped the coin 3 times

b) the probability distribution is

P(X=x) = 3/4 * (1/[(3-x)!*x!)])

P(X)=1/8 for x=0 and x=3 and P(X)=3/8 for x=1 and x=2

Step-by-step explanation:

the random variable will be X=number of heads observed when flipped the coin 3 times . Since the result from each flip is independent of the others , then X has a binomial probability distribution , such that

P(X=x)= n!/[(n-x)!*x!)*p^x * (1-p)^(n-x)

where

n= number of times the coin is flipped = 3

p= probability of getting heads in a flip of the coin = 1/2 (assuming that the coin is fair)

therefore

P(X=x)= 3!/[(3-x)!*x!)*(1/2)^(3-x) * (1/2)^x = 3!/[(3-x)!*x!) * (1/2)³ = 3/4 * (1/[(3-x)!*x!)])

P(X=x)= 3/4 * (1/[(3-x)!*x!)]) , for x=[0,1,2,3]

for x=0 and x=3 → P(X)=3/4 * (1/[3!*0!)]) = 1/8

for x=1 and x=2 → P(X)=3/4 * (1/[2!*1!)]) = 3/8

we can verify that is correct since the sum of all the probabilities from x=0 to x=3 is 1/8 + 3/8+ 3/8+ 1/8 = 1

8 0

3 years ago

Read 2 more answers

Jerry started doing sit-ups every day. The first day he did 18 sit-ups. Every day after that he did 4 more sit-ups than he had d

USPshnik [31]

Answer:

18 + (4*5) = 38

because 4 * 5 is 20 then 20 + 18 is 38, and that's your answer.

have a nice day! :)

7 0

3 years ago