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4 years ago

Simplify (2x + y)(x - 2y) - (x + 2y)(2x - y) as much as possible.

Mathematics

1 answer:

snow_tiger [21]4 years ago

4 0

Answer:

-6xy

Step-by-step explanation:

(2x-y)x(x-2y)-(x+2y)X(2x-y)

remove the parentheses

2x^2-4xy+xy-2y^2-(2x^2-xy+4xy-2y^2)

collect terms

2x^2-4xy+xy-2y^2-(2x^2+3xy-2y^2)

remove the parentheses

2x^2-4xy+xy-2y^2-2x^2-3xy+2y^2

remove the opposites, collect the terms to get -6xy

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H(0)=_______________

Feliz [49]

Answer:

Step-by-step explanation:

the only point in the chart, which has x=0 as coordinate, is the point up there at y=5.

and that is automatically the result. there is not anything else to it.

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3 years ago

Aroon is asked to choose five integers so that the mode is 2 more than the median and the mean is 2 less than the median.

torisob [31]

The mean is the sum of observations divided by number of observations.

x bar = (∑x)/n
The median is the middle value of the ordered data or the value of the interval n+1/2 for odd numbered data.
The mode is the repeated value.

<h3>The highest value is 0</h3>

Number of observations= n= 5
Median is the 3rd value when the data is arranged.
Mode is unknown

The relation between Mean, Median and mode is given by

Mode= 3 Median - 2Mean---- equation1

According to the given condition

Mode= 2+median ----- equation 2

Putting equation 2 in equation 1

2+median= 3 Median - 2Mean

2 Mean= 3 Median - 2- Median

2 Mean= 2 Median - 2

Mean= Median-1

Mean- Median=1--------Eq. A

According to the second condition

Median- Mode=-2-----------eq. 3

Putting eq. A in eq. 3

Mean -1 - Mode=-2

Mean- Mode=-1

Mode- Mean=1------equation 4

Adding equation A and equation4

Mode- Mean=1

Mean- Median=1

Mode+ Median =2------- equation5

Again Putting equation2 in equation 5

2+median + Median =2

2 Median =2-2

2 Median =0

Median=0

Mean= 0-1

Mean= 0-1=-1

Mode- Mean=1

Mode-(-1)=1

Mode=0

Putting values in the formula of mean

x bar =∑x/5

(-1)5 = 0+0+ x1+x2+0

-5= x1+x2

So the highest value is 0.

Learn more about mean here

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3 years ago

Which transformation or sequence of transformations maps △ABC to △A'B'C' ?

velikii [3]

Answer:

" (1) Reflect ABC across the x-axis and call this new triangle A'B'C'. (2) Translate A'B'C' 2 units right and 6 units up so that its image is A''B''C''. "

Step-by-step explanation:

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3 years ago

The work in a office takes 150 hours to complete every week. Each person in the office works for 32 hours a week. What is the sm

nydimaria [60]

In other words, how many times does 32 go into 150 without going over?

150/32 = 4.6875

Now, the smallest number of people needed to complete the work is found in the ones place or 4.

See it???

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3 years ago

Nookie1986 [14]

The ratio of the height to shadow length is a constant.
.. (5 ft)/(132 ft) = (tree height)/(144 ft)
.. (tree height) = (144 ft)*(5/132) = 5 5/11 ft

8 0

3 years ago