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shepuryov [24]
3 years ago
5

The product of two consecutive integers is 420. Which quadratic equation can be used to find x, the lesser number?

Mathematics
2 answers:
Fittoniya [83]3 years ago
8 0

Answer:

0 x2+2=420

Step-by-step explanation:

Rudiy273 years ago
3 0

Answer:

2nd one

Step-by-step explanation:

x(2) + 2 = 420

you can use trial and error

210(2) = 420 but we need to add the two so lower the 120

209(2) = 418  418 + 2 = 420

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A football stadium holds 52,000 fans. A college student is doing research and determines that on any given game day, the home te
docker41 [41]
This problem is asking us to make an algebraic equation or representation of the situation. First we have to assign the variables which is already given in the problem. H is the number of the home team and V is the visiting team. Since the problem states there are the home team has five times as manyfans as the visiting team, then it can be represented as: 

H = 5V
Also, H + V = 52,000. H and V can then be solves by solving the 2 equations simultaneously. The results are 43,333 and 8,667. 
4 0
3 years ago
Need to find the sum of 50
Bumek [7]

Answer:

4600

Step-by-step explanation:

This is an arithmetic sequence with common difference d between consecutive terms.

d = - 2 - (- 6) = 2 - (- 2) = 6 - 2 = 4

The sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2}[ 2a + (n - 1)d ]

where a is the first term

here a = - 6, d= 4 and n = 50, hence

S_{50} = \frac{50}{2} [ (2 × - 6) + (49 × 4) ]

                           = 25 ( - 12 + 196 )

                           = 25 × 184

                           = 4600

6 0
3 years ago
The square of the sum of two consecutive positive even integers is greater than the sum of their squares by 48. Find the two int
koban [17]

Answer:

  • 4 and 6 or -6 and -4

Step-by-step explanation:

Let the numbers are 2x and 2x + 2.

<u>We have:</u>

  • (2x + 2x + 2)² = (2x)² + (2x + 2)² + 48
  • 4(2x + 1)² = 4x² + 4(x + 1)² + 48
  • (2x + 1)² = x² + (x + 1)² + 12
  • 4x² + 4x + 1 = x² + x² + 2x + 1 + 12
  • 2x² + 2x - 12 = 0
  • x² + x - 6 = 0
  • (x - 2)(x + 3) = 0
  • x = 2, x = -3

<u>The numbers are:</u>

  • 4 and 6 or - 6 and - 4

3 0
2 years ago
To win the recycling contest, you must collect a total average between 83 and 87 pop tabs for 4 weeks, inclusive. Suppose you co
Dahasolnce [82]

Answer:

Inequality:

83 ≤ (82 + 86 + 84 + x)/4 ≤ 87

Step-by-step explanation:

You must collect no less than 80 and no more than 96 pop tabs.

4 0
3 years ago
Test 1. Give the appropriate factoring technique and factors of the following polynomials.
shutvik [7]
1) 5t^2 (1 + 6t)
2) 4x^3y^5 (5x + 2y)
3) (5r + 6x)(5r - 6x)
4) (x + 10)(x - 10)
5) (x - 3)^2
6) (x -5)(x - 3)
7) 3(16r^3 + 9)
8) 8(c^3 + 8d^3)
9) (2r - 125)(4r^2 + 250r + 15625)
10) (c + 3)(c - 1)
3 0
2 years ago
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