1 answer:
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Answer:
(-24, -8)
Step-by-step explanation:
Let us recall that when we have a function f
<em>if the gradient of f at a given point (x,y) exists, then the gradient of f at this point (x,y) gives the direction of maximum rate of increasing and minus the gradient of f at this point gives the direction of maximum rate of decreasing</em>. That is
at the point (x,y) gives the direction of maximum rate of increasing
at the point (x,y) gives the direction of maximum rate of decreasing
In this case we have
and we want to find the direction of fastest speed of decreasing at the point (-3,-2)
at the point (-3,-2) minus the gradient equals
hence the vector (-24,-8) points in the direction with the greatest rate of decreasing, and they should start their descent in that direction.
Answer:
Only option E is equivalent to .
Step-by-step explanation:
Given the expression
(5x+6) over 2 = 3-(4x + 12)
Let us simplify the expression
Multiply both sides by 2
Expand -(4x + 12) = -4x - 12
Thus, option E is equivalent to .
Further solving
Add 8x from to both sides
Simplify
Divide both sides
Simplify
Thus, only option E is equivalent to .