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4 years ago

Which statement is true about the discontinuities of the function f(x) x+1/6x^2-7x-3

Mathematics

2 answers:

Nitella [24]4 years ago

5 0

Answer:

Option A.

Step-by-step explanation:

The given function is f(x) = $\frac{(x+1)}{6x^{2}-7x-3}$

Now we will factorize the denominator first.

6x² - 7x - 3 = 6x² - 9x + 2x - 3

= 3x(2x - 3) + 1(2x - 3)

= (3x + 1)(2x - 3)

If (3x + 1) = 0

x = $-\frac{1}{3}$

If (2x - 3) = 0

x = $\frac{3}{2}$

Since numerator and denominator has no common factor

So, $x=\frac{3}{2},-\frac{1}{3}$ the given function has the vertical asymptotes.

Option A. is the correct option.

NARA [144]4 years ago

3 0

We are given with the function f(x)= (x+1)/(6x^2-7x-3) where we are asked in the problem to determine the discontinuities of the functions. In this case, we must find the horizontal asymptotes that is to determine the roots of the function at the denominator. Asymptotes are functions in which they do not necessarily touch the axes, just approaching. Then,

6x^2-7x-3 = 0
(x-3/2) * (x+1/3) = 0
x=3/2 and x=−1/3
The option applicable in this case is option B. there are holes at x= 3/2 and x=-1/3

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[6+4=10 points] Problem 2. Suppose that there are k people in a party with the following PMF: • k = 5 with probability 1 4 • k =

kirza4 [7]

Answer:

1). 0.903547

2). 0.275617

Step-by-step explanation:

It is given :

K people in a party with the following :

i). k = 5 with the probability of $\frac{1}{4}$

ii). k = 10 with the probability of $\frac{1}{4}$

iii). k = 10 with the probability $\frac{1}{2}$

So the probability of at least two person out of the 'n' born people in same month is = 1 - P (none of the n born in the same month)

= 1 - P (choosing the n different months out of 365 days) = $1-\frac{_{n}^{12}\textrm{P}}{12^2}$

1). Hence P(at least 2 born in the same month)=P(k=5 and at least 2 born in the same month)+P(k=10 and at least 2 born in the same month)+P(k=15 and at least 2 born in the same month)

= $\frac{1}{4}\times (1-\frac{_{5}^{12}\textrm{P}}{12^5})+\frac{1}{4}\times (1-\frac{_{10}^{12}\textrm{P}}{12^{10}})+\frac{1}{2}\times (1-\frac{_{15}^{12}\textrm{P}}{12^{15}})$

= $0.25 \times 0.618056 + 0.25 \times 0.996132 + 0.5 \times 1$

= 0.903547

2).P( k = 10|at least 2 share their birthday in same month)

=P(k=10 and at least 2 born in the same month)/P(at least 2 share their birthday in same month)

= $0.25 \times \frac{0.996132}{0.903547}$

= 0.0.275617

6 0

3 years ago

Pls solve and explain

lilavasa [31]

Answer:

1684 2/3

Step-by-step explanation:

This is a right trapezoid you can break this down into a rectangular prism and a triangle find the area of those two shapes separately then add them together to get your total volume

6 0

3 years ago

F(x) = x^2 . What is g(x)?

ss7ja [257]

Answer:

g(x) = (1/4x)^2

Step-by-step explanation:

Given f(x), we want to get g(x)

As we can see, the point (4,1) lies on the graph of g(x)

So the correct option will be the one where g(4) = 1

Let us take a look at the second option

g(x) = (1/4x)^2