1a. If
2 answers:
The function f(g(x)) eventually simplifies to
f(g(x) = (4/3)(x-5)(x-2)/(x² - 6x - 7)
a) The sum of the x-coordinates of the vertical asymptotes is the opposite of the x-coefficient in the denominator: 6.
b) Since the numerator and denominator are of the same degree, the horizontal asymptote is the overall multiplier: y = 4/3.
_____
Consider a quadratic with roots at "a" and "b". Then the factored form is
(x-a)(x-b)
and the expanded form is
(x² - (a+b)x + ab)
That is, the sum of the roots is the opposite of the x-coefficient. For this problem, that sum is the sum that is requested in part A.
f(g(x) = (4/3)(x-5)(x-2)/(x² - 6x - 7)
a) The sum of the x-coordinates of the vertical asymptotes is the opposite of the x-coefficient in the denominator: 6.
b) Since the numerator and denominator are of the same degree, the horizontal asymptote is the overall multiplier: y = 4/3.
_____
Consider a quadratic with roots at "a" and "b". Then the factored form is
(x-a)(x-b)
and the expanded form is
(x² - (a+b)x + ab)
That is, the sum of the roots is the opposite of the x-coefficient. For this problem, that sum is the sum that is requested in part A.
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Answer:
10 nickels and 10 quarters
Step-by-step explanation:
Given
Number of coins: 20
Vaiue of coins = $3.00
Required
Number of Nickels and Quarters;
<em>Let N =Nickels and Q =Quarters</em>
The total coins is represented as:
1 nickel is equivalent to $0.05 and 1 quarter is equivalent to $0.25; So
Make N the subject of formula in the first equation
Substitute this in the second equation
Collect like terms
Multiply both sides by 5
Recall that N = 20 - Q
Answer:
1/12
Step-by-step explanation:
