Step-by-step explanation:
f(x) = x + 1
g(x) = -3x
h(x) = 5-x
find fogoh
first we find fog
f(g(x)) = -3x + 1
then we find fogoh = -3(5-x ) +1
= -15 + 3x +1
= 3x -14
Answer:
rom the relation for linear regression formula, Y = b·X + a, we have ;
For car 1
ΣXY = 102780
(ΣX)² = 36
ΣX = 6
ΣY = 52390
ΣX² = 14
N = 3
b = -1000
a = 19463
Y = -1000×X + 19463
For Car 2
ΣXY = 102539.8
(ΣX)² = 36
ΣX = 6
ΣY = 52346.6
ΣX² = 14
N = 3 .
b = -1076.7
a = 19602
Y = -1076.7×X + 19602
Step-by-step explanation:
part B ^
The undefined term that can contain parallel lines are line.
Answer:
B.
Step-by-step explanation:
$2.25 is the cost of each video that is rented, so $2.25 times v (or 2.25v) represents the cost of 'v' videos.
$20 is the constant, as it costs $20 to join the club. Since this doesn't change, it is the constant.
So, we would have the equation:
f(v) = 2.25v + 20
f(v) is the total cost.
B is your answer because it is the only one with the correct equation.
Hope this helps!
![\frac{ {x}^{2} - 7x + 12}{ {x}^{2} - x - 12 } \\ = \frac{ {x}^{2} - 4x - 3x + 12 }{ {x}^{2} - 4x + 3x - 12 } \\ = \frac{x(x - 4) - 3(x - 4)}{x(x - 4) + 3(x - 4)} \\ = \frac{(x - 3)(x - 4)}{(x + 3)(x - 4)} \\ = \frac{x - 3}{x + 3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20%20-%207x%20%2B%2012%7D%7B%20%7Bx%7D%5E%7B2%7D%20-%20x%20-%2012%20%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20-%204x%20-%203x%20%2B%2012%20%7D%7B%20%7Bx%7D%5E%7B2%7D%20-%204x%20%2B%203x%20-%2012%20%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7Bx%28x%20-%204%29%20-%203%28x%20-%204%29%7D%7Bx%28x%20-%204%29%20%2B%203%28x%20-%204%29%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B%28x%20-%203%29%28x%20-%204%29%7D%7B%28x%20%2B%203%29%28x%20-%204%29%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7Bx%20-%203%7D%7Bx%20%2B%203%7D%20)
x² - x - 12 ≠ 0
x² - 4x + 3x - 12 ≠ 0
x (x - 4) + 3 (x - 4) ≠ 0
(x + 3)(x - 4) ≠ 0
x ≠ -3 or x ≠ 4
(B)