Answer:
See below
Step-by-step explanation:
The derivative of the function is the slope
2x^2 - x -1 take derivative ( f ' )
4x -1 equate to 7
7 = 4x -1
x = 2 sub into the original equation to find y = 5
Multiples of 12 . . . 12, 24, 36, 48, 60, 72, 84, 96
Multiples of 18 . . . 18, 36, 54, 72, 90
Smallest number that's on both lists . . . 36 .
(12 x 3) = (18 x 2) = 36 .
An absolute value inequality that models this situation: 
The required compound inequality representing all possible weights for Mr. Bean.: 
<u>Given:</u> For the last 20 years,
Mr. Bean has weighed 120 pounds, give or take 4 pounds.
<u>To write</u>: a) An absolute value inequality that models this situation.
b) a compound inequality representing all possible weights for Mr. Bean.
<u>Computation:</u>
Let <em>x</em> be the actual weight of Mr. Bean,
then
Required absolute inequality:
It can be written as

Add 120 on all sides , we get


The required compound inequality representing all possible weights for Mr. Bean.: 
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Answer:
y = - 2x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ = (- 2, 2) and (x₂, y₂ ) = (1, - 4)
m =
=
= - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 2, 2), then
2 = 4 + c ⇒ c = 2 - 4 = - 2
y = - 2x - 2 ← equation of line