Answer: 4. 292+13n
Step-by-step explanation:
Jerome noticed the following house numbers on his street
305,318,331,344. This is an arithmetic sequence. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 305
d = 318 - 305 = 13
The expression that can be used to determine the Nth House number on his street is
Tn = 305 + (n - 1)13
Tn = 305 + 13n - 13
Tn = 13n + 305 - 13
Tn = 13n + 292
Let "what" and "what" be A and B
Put this in an algebraic equation
A * B = 21
A + B = -22
A must = -21 and B must = -1 , this is because two negatives multiply to make a positive
A + B = -22 , -21 +-1 = -22
Answer
3x^2-2x+6=0\quad :\quad x=\frac{1}{3}+i\frac{\sqrt{17}}{3},\:x=\frac{1}{3}-i\frac{\sqrt{17}}{3}
Step-by-step explanation:
Answer:
3x^2-5x-2
Step-by-step explanation:
(9x^3-18x^2-x+2)÷(3x-1)
[9x^2(x-2)-(x-2)]÷(3x-1)
[(x-2)×(9x^2-1)]÷(3x-1)
(x-2)×(3x-1)×(3x+1)÷(3x-1)
(x-2)×(3x+1)
3x^2-x-6x-2
3x^2-5x-2