Answer:
Option D.
Step-by-step explanation:
Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).
Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.
Therefore, x =
= -
= -2
and y =
=
= -5
Therefore, the point (x, y) is (-2, -5).
Option D. will be the answer.
A. 2(3x-5)²
Step-by-step explanation:
18x² - 60x + 50
= 2 (9x² - 30x + 25 ) ⇒⇒⇒ take 2 as common from all terms
note: 9x² = 3x * 3x and 25 = 5*5 and
3x * 5 *2 = 30x
so, this is a complete square
= 2(3x-5)(3x-5)
= 2(3x-5)²
Your equation would be y = -2x + 3
-2 represents the constant, or slope, and +3 represents what y equals when x is zero
Hope this helps!
The Second Derivative Test asserts that
- f'(c) = 0 and f''(c) > 0 implies that f has a local minimum at c
- f'(c) = 0 and f''(c) < 0 implies that f has a local maximum at c.
Intuitively, f''(c) > 0 means a smiley face so any critical number of f where f'(c) = 0 should result in a local minimum, the local bottom extreme of the happy face. f''(c) < 0 means a frowning face so any critical number of f where f'(c) = 0 should result in a local maximum, the local top extreme of the happy face
It is inconclusive when f''(c) = 0 or f''(c) does not exist. (For example, consider . It has no local maxima or minima, yet and .)
Therefore,
- From f’(3) = 0 and f’’(3) = -2, we can conclude that f has a local maximum at 3.
- From f’(-2) = 0 and f’’(-2) = 2, we can conclude that f has a local minimum at -2.
- From f'(4) = 0 and f''(4) = 0, we cannot conclude anything from just those two pieces alone. We cannot determine if f has a local maximum or minimum at 4, nor can we say anything about inflection points since we do not know if f'' changes sign at x = 4.
Answer: y= 0.96 + 0.18x
Step-by-step explanation: I just did the assignment