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2 years ago

Is x-2 a factor of 4x^5 +5x^4 +1?

Mathematics

1 answer:

nordsb [41]2 years ago

8 0

Answer:

Step-by-step explanation:

By the Factor theorem

If (x - h) is a factor of f(x) then f(h) = 0

Here (x - 2) with h = 2 and f(x) = 4 $x^{5}$ + 5 $x^{4}$ + 1 , then

f(2) = 4 $(2)^{5}$ + 5 $(2)^{4}$ + 1

= 4(32) + 5(16) + 1

= 128 + 80 + 1

= 209

Since f(2) ≠ 0 then ( x - 2) is not a factor

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Evaluate the expression described below if the number is –2. The quotient of three less than twice a number and the number squar

lozanna [386]

(2x-3)/x^2
if the number is –2
then
[2(-2) - 3] / (-2)^2
= (-4-3)/4
= -7/4

answer is
D. -7/4

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2 years ago

What is -3x +3y = 15 -2x - 6y = -14

Katarina [22]

Answer:

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Step-by-step explanation:

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2 years ago

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What is 6÷1/5? 30, 24, 5/6, 1/30. you will get 18 things

Naya [18.7K]

6 divided by 1/5 is 30

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2 years ago

the arithmetic sequence ai is defined by the formula: a1 = -53 ai = ai-1 + 6 find the sum of the first 880 terms in the sequence

maxonik [38]

Answer:

The sum of the first 880 terms in the sequence is 2,273,920.

Step-by-step explanation:

Arithmetic sequence:

The difference between consecutive terms is always the same, called common difference, and the nth term is given by:

$a_{n} = a_0 + (n-1)d$

In which d is the common difference.

Sum of the first n terms:

The sum of the first n terms of an arithmetic sequence is given by:

$S_{n} = \frac{n(a_1+a_n)}{2}$

ai = ai-1 + 6

This means that $d = 6$

In this question:

Sum of the first 800 terms, so $n = 800$

First term is -53, so $a_1 = -53$

The 880th term is:

$a_{880} = -53 + (880-1)*6 = 5221$

Sum

$S_{n} = \frac{880(-53+5221)}{2} = 440(-53+5221) = 2273920$

The sum of the first 880 terms in the sequence is 2,273,920.

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2 years ago

a statistics professor finds that when he schedules an office hour at the 10:30a, time slot, an average of three students arrive

Veseljchak [2.6K]

Answer:

The probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.

Step-by-step explanation:

Let X = number of students arriving at the 10:30 AM time slot.

The average number of students arriving at the 10:30 AM time slot is, λ = 3.

A random variable representing the occurrence of events in a fixed interval of time is known as Poisson random variables. For example, the number of customers visiting the bank in an hour or the number of typographical error is a book every 10 pages.

The random variable X is also a Poisson random variable because it represents the fixed number of students arriving at the 10:30 AM time slot.

The random variable X follows a Poisson distribution with parameter λ = 3.

The probability mass function of X is given by:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,3...,\ \lambda>0$

Compute the probability of X = 2 as follows:

$P(X=2)=\frac{e^{-3}3^{2}}{2!}=\frac{0.0498\times 9}{2}=0.2241$

Thus, the probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.

6 0

3 years ago

Read 2 more answers