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grigory [225]
2 years ago
11

Factorize the given expression: 27x3 - 63x2 + 49x – 343 27

Mathematics
1 answer:
stealth61 [152]2 years ago
4 0
49x−9306 I’m not sure
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Each year for 4 years, a farmer increased the number of trees in a certain orchard by of the number of trees in the orchard the
Neko [114]

Answer:

The number of trees at the begging of the 4-year period was 2560.

Step-by-step explanation:

Let’s say that x is number of trees at the begging of the first year, we know that for four years the number of trees were incised by 1/4 of the number of trees of the preceding year, so at the end of the first year the number of trees wasx+\frac{1}{4} x=\frac{5}{4} x, and for the next three years we have that

                             Start                                          End

Second year     \frac{5}{4}x --------------   \frac{5}{4}x+\frac{1}{4}(\frac{5}{4}x) =\frac{5}{4}x+ \frac{5}{16}x=\frac{25}{16}x=(\frac{5}{4} )^{2}x

Third year    (\frac{5}{4} )^{2}x-------------(\frac{5}{4})^{2}x+\frac{1}{4}((\frac{5}{4})^{2}x) =(\frac{5}{4})^{2}x+\frac{5^{2} }{4^{3} } x=(\frac{5}{4})^{3}x

Fourth year (\frac{5}{4})^{3}x--------------(\frac{5}{4})^{3}x+\frac{1}{4}((\frac{5}{4})^{3}x) =(\frac{5}{4})^{3}x+\frac{5^{3} }{4^{4} } x=(\frac{5}{4})^{4}x.

So  the formula to calculate the number of trees in the fourth year  is  

(\frac{5}{4} )^{4} x, we know that all of the trees thrived and there were 6250 at the end of 4 year period, then  

6250=(\frac{5}{4} )^{4}x⇒x=\frac{6250*4^{4} }{5^{4} }= \frac{10*5^{4}*4^{4} }{5^{4} }=2560.

Therefore the number of trees at the begging of the 4-year period was 2560.  

7 0
3 years ago
What is the property of yx7=7y
Artyom0805 [142]

Answer:

This is the commutative property of multiplication.

Step-by-step explanation:

This property states that we can multiply numbers in any order and still get the same number. Each side is the same operation in a different order.

5 0
3 years ago
B)<br>9f + 101 - 12f<br>Simply ​
Ad libitum [116K]

Answer:

-3f+101

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Rani has a stamp collection which consists of Indian stamps and foreign stamps. The ratio of
Lostsunrise [7]

Answer:

2/9

Step-by-step explanation:

2 + 7 = 9

There are two Indian stamps, and the total is 9 stamps.

8 0
4 years ago
Find the height of a triangle with area = 110 ft squared and base = 10ft
maria [59]
Well to find the are of a triangle is like finding the are of a rectangle but in half so multiply 110 by 2 to get the original answer before it was divided by 2:

110×2=220

now we need to find out how many 10 are in 220:

220÷10=22

so the height of the triangle would be 22 ft

hope this helped

4 0
3 years ago
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