The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).
<h3>How to determine the characteristics of the roots of a quadratic equation by discriminant</h3>
Herein we have a <em>quadratic</em> equation of the form a · x² + b · x + c = 0, whose discriminant is:
d = b² - 4 · a · c (1)
There are three possibilities:
- d < 0 - <em>conjugated complex</em> roots.
- d = 0 - <em>equal real</em> roots (real and rational root).
- d > 0 - <em>different real</em> roots (real and irrational root).
If we know that a = 3, b = 7 and c = - 2, then the discriminant is:
d = 7² - 4 · (3) · (- 2)
d = 49 + 24
d = 73
The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).
To learn more on quadratic equations: brainly.com/question/2263981
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Answer:
Using Pythagorean theorem:
Diagonal = sqrt( 60^2 + 100^2) = 116.62
Hope this helps!
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Answer:
The large jar is best value for money.
Step-by-step explanation:
For large jar you get 540/4.10 = 131.7g of honey per penny.
For small jar you get 360/2.81 = 128.1g of honey per penny
What is the time it takes Sanjay to complete the puzzle? 6 hours
What is the time it takes Felipe to complete the puzzle? 8 hours
We can use the general formula of rate and time to solve this problem. Generally we have,
<em><u>Rate * Time = Work/Job</u></em>
<em>** where Work/Job for this problem is 1 since they are doing 1 work, which is solving a puzzle</em>
- <u>Finding rate of Sanjay:</u>
- <u>Finding rate of Felipe:</u>
Working together, their rate is the sum,
Total Rate = 
.
Using the general formula again, we can find the time it will take to solve the puzzle when both works together.
hours
Rounding the answer, we have 3.4 hours.
ANSWER: 3.4 hours
Volume of sphere is 4πr³/3 and volume of cone is ⅓πr²h, where r is radius and h is cone height.
Vol of Kamila’s sphere 4π(216)/3=288π
Vol of cone=π(9)(9)/3=27π
Total number of cones is 288/27=32/3=10 complete cones.
