Answer:
b = 
Step-by-step explanation:
b +
= 1
← change to an improper fraction
b +
= 
Multiply through by 12 ( the LCM of 3 and 4 ) to clear the fractions
12b + 8 = 15 ( subtract 8 from both sides )
12b = 7 ( divide both sides by 12 )
b = 
Reduce the expression, if possible, by cancelling the common factors.
Exact form:
15/7
Decimal form:
2.142857 repeating
Mixed number form:
2 1/7
Answer:
Kate = 52 seconds, Alexia = 58 seconds, Trina = 49 seconds
Step-by-step explanation:
A = K + 6
T = K - 3
K + A + T = 2 min 39 sec or 159 sec
K + (K + 6) + (K - 3) = 159sec
3K + 3 = 159sec
3K = 156sec
K = 52 sec
A = 52 + 6 = 58 sec
T = 52 - 3 = 49 sec
The fact that the coefficients are pairwise identical (except for sign) tells you that x^2 -1 is a factor (and x-5 is the other factor). Of course, you recognize x^2-1 as a special form (the difference of squares) that is factored as (x +1)(x -1).
The zeros are x = -1, +1, +5.
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A graphing calculator confirms this.