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frozen [14]
3 years ago
10

Type the correct answer in each box. Use numerals instead of words. Solve the equation by completing the square. x2 + 20x + 82 =

7 The solutions, in order from least to greatest, are x =____ and x = _____.
Mathematics
1 answer:
VikaD [51]3 years ago
5 0
7=x^2+20x+82
0=x^2+20x+75

What adds to 20 and multiplies to 75? 5 and 15.

x^2+5x+15x+75
x(x+5) 15(x+5)
(x+15) (x+5)

Zeroes are x= -5 and x= -15
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The difference between two integers is 32.The ratio of these integers is 1:3.Find these integers​
shutvik [7]

Answer:

16 and 48

Step-by-step explanation:

let the 2 integers be x and 3x ← ratio 1 : 3

Then

3x - x = 32 ← difference between the integers

2x = 32 ( divide both sides by  2 )

x =  16

and 3x = 3 ×  16 =  48

Since magnitude of difference is 32

We can also express the difference as

x - 3x = 32

- 2x = 32 ( divide both sides by - 2 )

x = - 16

and 3x = 3 × - 16 = - 48

The 2 integers are 16 and 48 or - 16 and - 48

7 0
3 years ago
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What is the quotient (3x^2+8x-3)/ (x+3)
Dvinal [7]

Answer:

The quotient ix 3x - 1.

Explanation:

Use Long division:

        3x - 1     <------------quotient.

        ---------------------

x + 3) 3x^2 + 8x + 3

         3x^2 + 9x

          -------------

                      -x + 3

                      -x - 3

                        ------

                             6 <---------remainder.

6 0
3 years ago
A. -5<br> B. 11<br> C. 38 - 8i<br> D. 3+ 8i
siniylev [52]

Answer:

D.

Step-by-step explanation:

5 0
3 years ago
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A rectangular prism must have a base with an area of no more than 27 square meters. The width of the base must be 9 meters less
NISA [10]

Answer:

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5 0
2 years ago
During two years, the population of birds of an island became 7 times more than before. If the first year increase in the popula
nordsb [41]

Answer:

The percent increase of the second year is 400%.

Step-by-step explanation:

Consider the provided information.

Let the population of birds was x.

After 2 years the population becomes 7 times more than before.

Therefore, after 2 years population is 7x.

In first year increase in the population was 40%.

Population after 1st year = x + 40% of x

Population after 1st year = x + 0.40x

Population after 1st year = 1.4x

The population increase from 1st year to 2nd year is: 7x-1.4x=5.6x

Thus the percentage increase is:

\% increase=\frac{5.6x}{1.4x}\times100=400\%

Hence, in second year the population of birds increase by 400%.

6 0
3 years ago
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