The factors of the expression x^2 - 9x + 14 are (x - 7) and (x - 2)
<h3>How to factor the expression?</h3>
The expression is given as:
x^2 - 9x + 14
Expand
x^2 - 2x - 7x + 14
Factorize the expression
x(x - 2) - 7(x - 2)
Factor out x - 2 from the expression
(x - 7)(x - 2)'
Hence, the factorized expression of x^2 - 9x + 14 is (x - 7)(x - 2)'
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Answer:
The explicit formula for a given geometric sequence is of the form
Step-by-step explanation:
Given sequence is 
Let 
To find the common ratio r:
Therefore r=-3
Therefore r=-3
Therefore common ratio is -3
Therefore given sequence is geometric sequence.
The explicit formula for a geometric sequence is 
, where common ratio is r.
From given sequence we are having r=-3
Therefore the explicit formula for a given geometric sequence is of the form 
(1/8)x + 2 = 9 yields a solution of 56.
(1/9)x – 8 = 7 and (1/9)x – 7 = 8 both have a solution of 135.
Its T : 400
H : 20 Hope this help fam because 200 isn't the answer.
Solution :
2a + 2b = 7 ...1)
4a + 3b = 12 ...2)
In equation, 1)
a = (7 - 2b)/2 ...3)
Putting value of a in equation 2) we get :
4 × (7 - 2b)/2 + 3b = 12
2( 7 - 2b ) + 3b = 12
14 - 4b + 3b = 12
b = 2
Putting value of b in 3) we get :
a = ( 7 - 2×2)/2
a = 3/2 = 1.5
Now,
2x - 3y = 16 ...5)
x + 2y = -6 ...6)
x = -6 - 2y
Putting above value of x in eq 5) , we get :
2( -6 - 2y ) - 3y = 16
-12 - 4y - 3y = 16
7y = -28
y = -4
x = -6 - ( 2× -4 )
x = 2
Hence, this is the required solution.
