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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If Sadie earns $11.25 per hour, her earnings will vary directly with the number of hours that she has worked per week.
If she made $146.25 in a work week, she worked 13 hours.
13 hours x 11.25 = 146.25
Complementary angles = 90°
Subtract 36 from 90 to get the measure of the other angle
90 - 36 = 54
Answer = 54°
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Supplementary angles = 180°
Subtract 115 from 180 to get the measure of the other angle
180 - 115 = 65
Answer = 65°
~Aamira~
Hope this helped☺☺
You would write it as -4 1/2
Answer:
69 mins
Step-by-step explanation:
46/10=4.6 mins per wall
46/4=11.5 mins per wall
11.5 x 6=69