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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gcd(12, 16) = 4 I hope I was help full
-5h-3(10+h) = -6
-5h-30-3h = -6
Add/subtract like terms
-8h -30 = -6
Add 30 to both sides
-8h = 24
Divide by -8 to isolate h
h = -3
Answer:
The cost of comic is $2.8 and the cost of magazine is $4.2.
Step-by-step explanation:
Given : Eugene bought 27 comics and 12 magazines for $126. If 3 comics cost as much as 2 magazines.
To find : The cost of each comic ?
Solution :
Let the cost of a comic be 'c'
the cost of a magazine be 'm'
If 3 comics cost as much as 2 magazines.
i.e. 
....(1)
Eugene bought 27 comics and 12 magazines for $126.
i.e. 
.....(2)
Substitute the value of c from (1) in (2),
Substitute in (1),
So, The cost of comic is $2.8 and the cost of magazine is $4.2.
Answer:
slope = 0
Step-by-step explanation:
