<h3>
Answer:</h3>
c. 150 miles
<h3>
Step-by-step explanation:</h3>
You want to find the number of miles (m) that make the charges equal.
... 40 +0.25m = 25 + 0.35m
... 15 = 0.10 m . . . . . . add -25-0.25m
... 150 = m . . . . . . . . . divide by the coefficient of m
For 150 miles, the rental cost will be the same for both companies.
25% = 0.25
124 x 0.25 = 31
31 students bought their lunch.
Part = 31
Percent = 25%
Whole = 124
Hope this helps! ✨
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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