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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1.) Turn the problem into a fraction.
- 5/8 (the number of drops of red paint/ the number of drops of red paint)
2.) multiply top and bottom by 3 because 5 drops of red paint ×3=15 drops of red paint.
The bottom number of the fraction will be your answer.
I hope this helped
Answer:
See attached picture
Step-by-step explanation:
Answer: 3 gallons
Step-by-step explanation:
From the question, we are informed that Connor is driving on a long road trip and currently has 9 gallons of gas in his car. We are also told that for every hour that he drives, his car uses up 2 gallons of gas.
After driving for 3 hours, his car would have used:
= 3 × 2 gallons
= 6 gallons of gas
Amount of gas left will be:
= 9 gallons - 6 gallons
= 3 gallons
Answer:
Step-by-step explanation:
You first multiply the a with bx and c then after the answer when you multiply you "add" with it would be something like
ex: 6x+4=28
- 4 -4 subtract both sides
------------------------
6x=24 then divide 6 with 24.
x= 3