Answer:
a)
A to B 5 routes and B to C 4 routes
<u>Total options:</u>
b)
A to C, 20 ways as above calculation.
C to A, 20 ways as well.
<u>Total options:</u>
c)
A to C, 20 ways
<u>Return to A with different ways:</u>
- (5 - 1)(4 - 1) = 4*3 = 12
<u>Total options:</u>
Answer:
29/6
Step-by-step explanation:
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Y = kx
14 = 8k
k = 7/4
y = 7/4x
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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