Answer:
a7 = 36
Step-by-step explanation:
Here, we are to use the recursive formula to calculate the 7th term( we add the preceding term to 4 so as to get the succeeding term)
a1 = 12
using the recursive formula given in the question
a2 = 12 + 4 = 16
a3 = 16 + 4 = 20
a4 = 20 + 4 = 24
a5 = 24 + 4 = 28
a6 = 28 + 4 = 32
a7 = 32 + 4 = 36
Answer:
y = 3/4x - 2
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: 
Step 1: Define
(0, -2) y-intercept
(4, 1) random point
Step 2: Find slope <em>m</em>
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y = 3/4x + b
Step 3: Write linear equation
y = 3/4x - 2
X = small van capacity, y = larger van capacity
y = x + 6
2x + y = 57
now we sub in x + 6 for y
2x + x + 6 = 57
3x + 6 = 57
3x = 57 - 6
3x = 51
x = 51/3
x = 17
y = x + 6
y = 17 + 6
y = 23
small van (x) has 17 seats and large van (y) has 23 seats
We know that x > 2 ( or : x ≠ +/- 2 )
We have to factorize the numerator and the denominator:
x² - x - 6 = x² - 3 x + 2 x - 6 = x ( x - 3 ) + 2 ( x - 3 ) = ( x - 3 ) ( x + 2 )
x ² - 4 = ( x - 2 ) ( x + 2 )