By concepts of polynomials and systems of linear equations, the constants c and d of the expression p(x) = x⁴ - 5 · x³ - 7 · x² + c · x + d are 29 and 30.
<h3>How to determine the missing coefficients of a quartic equation</h3>
A value x is a root of a polynomial if and only if p(x) = 0. We must replace the given equation with the given roots and solve the resulting system of <em>linear</em> equations:
(- 1)⁴ - 5 · (- 1)³ - 7 · (- 1)² + (- 1) · c + d = 0
- c + d = 1 (1)
3⁴ - 5 · 3³ - 7 · 3² + 3 · c + d = 0
3 · c + d = 117 (2)
The solution of this system is c = 29 and d = 30.
By concepts of polynomials and systems of linear equations, the constants c and d of the expression p(x) = x⁴ - 5 · x³ - 7 · x² + c · x + d are 29 and 30.
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Answer:
W = 20 (woman's age)
M = 60 (man's age)
Step-by-step explanation:
M = Man's age
W = Woman's age
M + 20 = 2(W + 20)
Sub for M
3W + 20 = 2W + 40
W = 20 (woman's age now)
M = 60 (man's age now)
The median is 41. i hope this helps.
Answer:
y=2x+3
Step-by-step explanation:
The graph of g(x) is a translation 7 units left and 3 units down of the graph of f.