Answer:
8
Step-by-step explanation:
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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17 possible combinations
1. 3 quarters
2. 2 quarters, 1 dime, 1 nickel
3. 2 quarters, 3 nickels
4. 1 quarter, 5 dimes
5. 1 quarter, 4 dimes, 2 nickels
6. 1 quarter, 3 dimes, 4 nickels
7. 1 quarter, 2 dimes, 6 nickels
8. 1 quarter, 1 dime, 8 nickels
9. 1 quarter, 10 nickels
10. 7 dimes, 1 nickel
11. 6 dimes, 3 nickels
12. 5 dimes, 5 nickels
13. 4 dimes, 7 nickels
14. 3 dimes, 9 nickels
15. 2 dimes, 11 nickels
16. 1 dime, 13 nickels
17. 15 nickels
Answer:
wish i could help have a gret day
Step-by-step explanation:
