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julsineya [31]
3 years ago
12

x2y - 2xy - 24y = y(x2 - 2x - 24) What is the completely factored form of x2y – 2xy – 24y? (xy + 4)(x – 6) xy(x + 4)(x – 6) y(x

+ 4)(x – 6) y(x + 4)(xy – 6)
Mathematics
2 answers:
likoan [24]3 years ago
5 0

we are given

x^2y-2xy-24y=y(x^2-2x-24)

now, we can factor out right side term

x^2-2x-24=x^2-6x+4x-6*4

x^2-2x-24=(x-6)(x+4)

now, we can plug back

and we get

so,

x^2y-2xy-24y=y(x-6)(x+4).............Answer

alina1380 [7]3 years ago
5 0

Answer:

y(x + 4)(x – 6)

Step-by-step explanation:

y(x + 4)(x – 6)

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In how many ways can you place 50 identical balls in six distinct urns such that each urn contains an odd number of balls
mezya [45]

Answer:

80730

Step-by-step explanation:

The answer is c(27,5)=27*26*25*24*23/5!. Here is why.

Let us solve a simpler problem. In how many ways 25 identical balls can be placed in six distinct urns such that no urn is empty?

25 balls in a row make 24 places for five dividers, so the answer is c(24,5).

2. Next problem. In how many ways 50 identical balls can be placed in six distinct urns such that no urn is empty and each urn contains even number of balls.

We group 50 balls in 25 pairs, so the answer is the same as in the previous problem which is

c(48/2,5)=c(24,5).

Let us denote the content of each urn as

u(1),u(2),…u(6). Note that each u(i) is even. Denote u(i) as u(i)=2k(i) where k is a natural number. We have

2k(1)+2k(2)+2k(3)+2k(4)+2k(5)+2k(6)=50.

3. Now let us proceed to the original problem where odd number of balls in each urn is required.

We have

2k(1)-1+2k(2)-1+2k(3)-1+2k(4)-1+2k(5)-1+2k(6)-1=50 or

2k(1)+2k(2)+2k(3)+2k(4)+2k(5)+2k(6)=56.

So the original problem reduces to previous problem where even number of balls in each urn is required but the total number of balls is 56 instead of 50.

Its answer is c(54/2,5)=c(27,5).

8 0
2 years ago
Y=-2x+5<br>if x=4 what is the answer​
barxatty [35]

Answer:

y=-3

Step-by-step explanation:

y=-2x+5

y=-2(4)+5=-8+5=-3

5 0
3 years ago
Read 2 more answers
1.1.3 what is a function
GrogVix [38]

Answer:

A function is going to be a line graphed on a coordinate plane. It has 1 or more variables. A function can be a straight line, a parabola, etc. however a function cannot have a repeating x-value.

7 0
3 years ago
A. Economic theory describes the relationship between inflation and unemployment as:
Ludmilka [50]

Answer:

1: The correction option is B) Negative

Explanation

In economic theory, the Philips curve depicts the relationship between unemployment and inflation as a negative one. In order words, when inflation goes up, unemployment reduces.

The logic behind that thinking is, that inflation, which is the general increase in prices of goods/commodities and services is good for business. Business owners are quick to adjust to higher prices regardless of how it is induced and sometimes even profit from it in sectors not affected by inflation. So in such sectors, as business improves,  it is assumed that there is a requirement to being in more hands to help with the expansion of the business.

2. The correct option is B) Holds for certain time periods

Explanation

Social scientists and researchers have plotted the data across various periods (20 years) using data from the US economy.

The following results emerged:

  • the traditional relationship between inflation and unemployment held in 2001 during the mild recession triggered by the 9/11 situation. Unemployment took an upward spiral averaging an increase of 6% while inflation nosedived by 2.5%;
  • Another snapshot was taken in the mid-2000s. This time unemployment went belly-up by several degrees, while inflation took off in the opposite direction by almost 5% before receding in 2006 when unemployment bottomed;
  • In another analysis, the consumer price index took a steep downward dive during the Great Recession. This time, unemployment took a bullish charge, going up as much as 10%
  • This negative relationship failed to hold between 2012 to 2015. Both factors developed a positive relationship and moved in the same direction;
  • There has also been a loss of strength in the negative relationship as also seen in recent times. Specifically, between 2016 to 2019 where unemployment has steadily receded to 50-year lows, with inflation remained steady at an average of 2%.  

So the correct answer is B.

3. The correct answer is True:

Explanation

As seen from the analysis above, the negative relationship remains largely true for most of the periods examined. Hence it is more pragmatic to expect a dip in unemployment whenever there is a spike in the CPI.

Cheers

6 0
3 years ago
Which equation gives the line shown on the graph?
SVEN [57.7K]

y = ½ x + 4

....................

4 0
3 years ago
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