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Tanya [424]
3 years ago
7

If using the method of completing the square to solve the quadratic equation

Mathematics
1 answer:
Tomtit [17]3 years ago
6 0

To determine the constant that makes the expression (x² + kx) a perfect square,

Take the coefficient of the second term which is k and ÷2

In this case, it is (7/2)²

At the end it looks like

x² + 7x + (7/2)² = 27 + 49/4

(x + 7/2)² = 157/4

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A survey with a two-point scale was conducted in an organization. It concluded that 85% of the respondents were unsatisfied with
Morgarella [4.7K]

Answer:

Number of the peoples were satisfied with the career guidance are 300 .

Step-by-step explanation:

Formula

Percentage = \frac{Part\ value\times 100}{Total\ value}

As given

A survey with a two-point scale was conducted in an organization.

It concluded that 85% of the respondents were unsatisfied with the career guidance they were provided.

If 2,000 people participated in the survey.

Total value = 2000

Percentage = 85%

Putting all the values in the formula

85 = \frac{Part\ value\times 100}{2000}

Part\ value= \frac{2000\times 85}{100}

Part\ value= \frac{170000}{100}

Part value = 1700

i.e

People not satisfied by the career guidance = 1700

People satisfied by the career guidance = Total people participated in survey  - People not satisfied by the career guidance .

Putting the values in the above

                                                                  = 2000 - 1700

                                                                  = 300

Therefore the number of the peoples were satisfied with the career guidance are 300 .


5 0
3 years ago
Read 2 more answers
The height of the triangle is 3 meters longer than twice its base. Find the base and height if the area is 8 square meters. Roun
polet [3.4K]

9514 1404 393

Answer:

  • base: 2.18 m
  • height: 7.35 m

Step-by-step explanation:

Let b represent the base of the triangle in meters. Then the height is ...

  h = 3 +2b

and the area is ...

  A = 1/2bh

  8 = 1/2(b)(3 +2b)

  16 = 3b +2b^2 . . . . . . . multiply by 2 and eliminate parentheses

  2(b^2 +3/2b + (9/16)) = 16 + 9/8 . . . . . . complete the square

  2(b +3/4)^2 = 17.125

  (b +3/4)^2 = 8.5625 . . . . . divide by 2

  b + 0.75 = √8.5625 ≈ 2.9262

  b = -0.75 +2.9262 = 2.1762

  h = 3 +2b = 7.3523

The base is about 2.18 meters and the height is about 7.35 meters.

3 0
3 years ago
Question in the picture
Mrac [35]
3,3,2 or 5,5,3 Basically just 2 same numbers for the 2 sides of the triangle and 1 other number for the base
3 0
3 years ago
Read 2 more answers
the ratio of large triangles to small triangles is 2-6 .If there are 100 triangles in the design ,how many small triangles are t
m_a_m_a [10]

Answer:

75 small triangles

Step-by-step explanation:

1. Reduce the ratio: 2-6 = 1-3

2. Write each of them as a fraction of a whole:

 Small total = 3/(1+3) = 3/4 of the total amount

3. Multiply the ratio to get the answer: 3/4 * 100 = 75

6 0
3 years ago
ASAP HELP!! sorry the photo is bad it’s the lighting but please help
ICE Princess25 [194]

Answer:

3

Step-by-step explanation:

8 0
3 years ago
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