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stealth61 [152]
3 years ago
5

Simplify the following rational expression.

Mathematics
1 answer:
Jet001 [13]3 years ago
8 0

9514 1404 393

Answer:

  (x-8)/(4x-4)  x ≠ 1 or 8

Step-by-step explanation:

Common factors can be cancelled, but cannot be ignored when it comes to determining where the function is undefined.

  \dfrac{x^2-16x+64}{4x^2-36x+32}=\dfrac{(x-8)^2}{4(x-8)(x-1)}=\boxed{\dfrac{x-8}{4x-4}}

The function is undefined for x=1 and x=8, the values of x that make the original denominator zero.

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What is the domain of the function represented by the graph? A graph shows an upward parabola on a coordinate plane vertex at (m
vlabodo [156]

Using it's concept, the domain of the function represented by the graph is all real numbers.

<h3>What is the domain of a function?</h3>

The domain of a function is the set that contains all possible input values for the function.

In this problem, a parabola is used, which has no restriction such as an even root or a fraction, hence the domain is all real values.

More can be learned about the domain of a function at brainly.com/question/10891721

#SPJ1

3 0
2 years ago
Find the area of a circle with diameter 10cm use the value 3.14
mafiozo [28]

Answer:

78.5 cm

Step-by-step explanation:

The area of a circle is represented by A = πr². Since we are replacing the value of pi(π) with 3.14, and the diameter is 10, meaning the radius(r) is 5, we can plug both values into the equation, to get A = 3.14(5^2). This simplifies to 78.5.

3 0
3 years ago
Read 2 more answers
Messages arrive to a computer server according to a Poisson distribution with a mean rate of 11 per hour. Determine the length o
Zarrin [17]

Answer:

The length of the interval during which no messages arrive is 90 seconds long.

Step-by-step explanation:

Let <em>X</em> = number of messages arriving on a computer server in an hour.

The mean rate of the arrival of messages is, <em>λ</em> = 11/ hour.

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 11.

The probability mass function of <em>X</em> is:

P(X=x)=\frac{e^{-11}11^{x}}{x!};\ x=0,1,2,3....

It is provided that in <em>t</em> hours the probability of receiving 0 messages is,

P (X = 0) = 0.76

Compute the value of <em>t</em> as follows:

P(X=0)=\frac{e^{-11\times t}(11\times t)^{0}}{0!}\\0.76=e^{-11\times t}\\\ln(0.76)=-11\times t\\t=-\frac{\ln(0.76)}{11} \\=0.025\ hours\\\approx90\ seconds

Thus, the length of the interval during which no messages arrive is 90 seconds long.

6 0
3 years ago
Bc-ad = 3c+r solve for c
Annette [7]

Answer:

-ad-r=C

--------                    Sorry thats the best I could do for a fraction symbol

3-b

Step-by-step explanation:

In order to solve for C we need to get it C on one side of the equation all by itself.  To start we can subtract R from both sides and subtract bc from both sides to get both C's on one side.  That gets us to

-ad-r=3c-bc

Since the side with C has a common factor, C between 3c and bc we can pull that out, and we get

-ad-r=c(3-b)

and then we just divide 3-b on both sides to get C completely by itself

-ad-r=C

--------

3-b

I hope this helps and please don't hesitate to ask if there is anything still unclear!

4 0
3 years ago
How many 1 2/3 yard lengths of wire can be cut from 25 yards of wire?
timofeeve [1]
Divide 25 by 1 2/3 or 1.66 and then round down to get 15

8 0
3 years ago
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