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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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It took Mike 1/3 hour to mow 1/4 of a yard. How long will it take him to finish the entire yard?
Kazeer [188]

Answer:

4/3 of an hour, or 1.33 hours

Step-by-step explanation:

It took Mike 1/3 of an hour to mow 1/4 of the yard. This means when it has been 1 full hour, he would have mowed 3/4 of the yard, because \frac{1}{3} *3=1 hour. Because of this, we can multiply 1/3 by 4, because he has to mow 4 parts of his lawn, and he can do 1 part in 1/3 of an hour.

\frac{1}{3} *\frac{4}{4} =4/3 hours

3 0
2 years ago
It cost Bo $9.75 to send 65 text messages. How many text messages did he send if he spent $6.60?
VashaNatasha [74]

If we use $6.60 then 44 massages will go to be sent.

<h3>What are the ratio and proportion?</h3>

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

For example 3/8 here 3 is the numerator and 8 is the denominator the value of the fraction will be less than 1 or greater than it depends upon the numerator and denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

$9.75 ⇔ 65 text massages

Divide by 9.75

$1 ⇔ 6.67 massages,

Multiply by 6.60

$6.60 ⇔ 44 text messages.

Hence "If we use $6.60 then 44 massages will go to be sent".

For more information about ratio and proportion,

brainly.com/question/26974513

#SPJ1

5 0
2 years ago
Which expressions show the expanded form for 200.06?
Levart [38]
It should be B i think
8 0
3 years ago
The cumulative distribution function f(x) of a discrete random variable x is given by f(0) =. 30, f(1) =. 70, f(2) =. 90 and f(3
Lisa [10]

Correlation between x & y is 0.6125.

In probability theory and statistics, the cumulative distribution function of a real-valued random variable X, or simply the distribution function of X weighted by x, is the probability that X takes a value less than or equal to x.

The cumulative distribution function (CDF) of a random variable X is defined as FX(x)=P(X≤x) for all x∈R. Note that the subscript X indicates that this is the CDF of the random variable X. Also note that the CDF is defined for all x∈R. Let's look at an example.

Learn more about cumulative distribution here: brainly.com/question/24756209

#SPJ4

7 0
1 year ago
Mitchell went on a shopping trip to Kensington. He purchased a pair of headphones originally priced at $50 but discounted 60%. I
MrRa [10]

Answer:

$24.50

Step-by-step explanation:

60% of $50= $30

$50-$30= $20

15% of $20= $4.50

$20+$4.50= $24.50

8 0
2 years ago
Read 2 more answers
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