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Veseljchak [2.6K]
3 years ago
13

Determine the greatest intergral value of K for which 2x^2 - Kx +2 =0 will have non-real roots ...Use quadratic inequalities to

determine the solution
Mathematics
1 answer:
Mrac [35]3 years ago
6 0

Answer:

Greatest integral value of K = 3.

Step-by-step explanation:

The nature of the roots of a quadratic equation is determined by the sign of the discriminant, b^2 - 4ac.  For non-real roots this is negative.

2x^2 - kx + 9 = 0

The discriminant = (-k)^2 - 4*2*2 , so:

k^2 - 16 < 0  for non-real roots.

k^2 < 16

k <  √16

k  < 4

So the answer is 3.

The greatest integral value is 8.

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The cost of company 1: 10x+50
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The cost will be the same at:
10x + 50 = 8x + 60 \\ 2x = 10 \\ x = 5
The answer is 5 hours
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3 years ago
Sanjay expects 10 000 visitors at the festival. For health and safety, there must be fewer than 0.9 visitors per square metre. I
zhannawk [14.2K]
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5 0
3 years ago
Paul has $40000 to invest. His intent is to earn 9% interest on his investment. He can invest part of his money at 6% and part a
Black_prince [1.1K]

Paul needs to invest $10000 at 6% interest and $30000 at 10% interest to make a total of 9% return on his $40000.

<em><u>Explanation</u></em>

Suppose, the amount of money at 6% interest is x

As Paul has total $40000 to invest, so the amount of money at 10% interest will be: (40000-x) dollar

His intent is to earn 9% interest on his $40000 investment. So, the equation will be......

0.06x+0.10(40000-x)=0.09*40000\\ \\ 0.06x+4000-0.10x=3600\\ \\ -0.04x=3600-4000=-400\\ \\ x=\frac{-400}{-0.04}=10000

So, Paul needs to invest <u>$10000 at 6% interest</u> and ($40000- $10000) or <u>$30000 at 10% interest </u>to make a total of 9% return on his $40000.

3 0
3 years ago
Read 2 more answers
Find the sum of first 20 to terms of an ap in which d is equal to 7 and 20 second term is 149​
GuDViN [60]

Answer:

1370

Step-by-step explanation:

<h3>Given</h3>
  • AP with d= 7 and a₂₂ = 149
<h3>To find</h3>
  • Sum of first 20 terms
<h3>Solution</h3>

<u>First, let's get the value of the first term:</u>

  • aₙ = a + (n-1)d
  • a₂₂ = a + 21d
  • 149 = a + 21*7
  • a = 149 - 147
  • a= 2

<u>Next, let's find the sum of the first 20 terms</u>

  • Sₙ = 1/2n(2a+ (n-1)d)
  • S₂₀ = 1/2*20(2*2 + 19*7) = 10(4 + 133) = 10*137 = 1370

<u>Answer is</u> 1370

6 0
3 years ago
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ladessa [460]

Answer:

50 a²

hope it helps luv

good luck

7 0
2 years ago
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