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GREYUIT [131]
4 years ago
15

Factor completely 25x2 − 9

Mathematics
2 answers:
lawyer [7]4 years ago
6 0
If the question is 25xsquare -9
then answer will be
(5x+3)(5x-3)

svet-max [94.6K]4 years ago
3 0

Answer:

(5x+3) (5x-3)

Step-by-step explanation:

Factor completely 25x^2 - 9

To factor this we write the numbers in square form

25 = 5*5= 5^2

9 = 3*3= 3^2

5^2x^2 - 3^2

(5x)^2 - 3^2

We apply difference of squares formula

a^2 - b^2 = (a+b)(a-b)

(5x)^2 - 3^2

a= 5  and b = 3

So it becomes, replace the numbers in the formula

(5x+3) (5x-3)

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In a particular​ year, a total of 40 comma 285 students studied in two of the most popular host countries when traveling abroad.
klasskru [66]

Answer: 2nd most popular country =  15895 students

most popular country = 24390 students

Step-by-step explanation:

Total students: 40,285

2nd most popular country = x students

most popular country = x + 8,495 students

x + x + 8495 = 40285

2x + 8495 = 40285

2x = 40285 - 8495

2x = 31790

x = 15895

2nd most popular country = x = 15895 students

most popular country = x + 8,495 = 15895 + 8,495 = 24390 students

6 0
3 years ago
Gia's ruler is divided into tenths of an inch. What fraction of an inch represents the greatest possible measurement error due t
miskamm [114]
The greatest measurement error s 1/10 of an inch, which is 10% of an inch.

Therefore the greatest measurement error is 1/10 or 10%.

Answer: 0.1 or 10% per inch.
4 0
3 years ago
Please help me, haha...
sashaice [31]
Yup the answer is C !!
3 0
3 years ago
Which graph shows the correct representation of {x | x ≤ 5}?
Andrew [12]

Answer:

third choice

Step-by-step explanation:

That would be the third one. It has to be a closed circle because it includes the sign, ≤ meaning that it also has the number 5 included. The numbers that go to the left of 5 are smaller, too.

3 0
3 years ago
What does the fundamental theorem of algebra illustrate?
UNO [17]

Answer:

The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.

Step-by-step explanation:

The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.

We have to find the roots of this given equation.

If a quadratic equation is of the form ax^{2}+bx +c=0

Its roots are \frac{-b+\sqrt{b^{2}-4ac } }{2a} and \frac{-b-\sqrt{b^{2}-4ac } }{2a}

Here the given equation is 2x^{2}-4x-1 = 0

a = 2

b = -4

c = -1

If the roots are x_{1} and x_{2}, then

x_{1} = \frac{-2+\sqrt{(-4)^{2}-4\times 2\times (-1)}}{2\times 2}

                       = \frac{4 +\sqrt{24}}{4}

                       = \frac{2+\sqrt{6} }{2}

x_{2} = \frac{-2-\sqrt{(-4)^{2}-4\times 2\times (-1)}}{2\times 2}

                        = \frac{4 +\sqrt{8}}{4}

                        = \frac{2-\sqrt{6} }{2}

These are the two roots of the equation.

6 0
3 years ago
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