Please help me! Thank you! (x^2 + 2x -3)(4x^2 - 5x + 6)
1 answer:
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Answer:
y = 9x - 11
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 = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, - 38) and (x₂, y₂ ) = (8, 61)
m = =
= 9, thus
y = 9x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 61), then
61 = 72 + c ⇒ c = 61 - 72 = - 11
y = 9x - 11 ← equation of lie
Answer:
Option B.
Step-by-step explanation:
Option A.
f(x) =
Derivative of the given function,
f'(x) =
=
=
Since derivative of the function is negative, the given function is decreasing.
Option B. f(x) =
f'(x) =
=
=
Since derivative is positive, given function is increasing.
Option C. f(x) =
f'(x) =
=
=
Since derivative is negative, given function is decreasing.
Option D. f(x) =
f'(x) =
=
Since derivative is negative, given function is decreasing.
Option (B) is the answer.