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.
96. (3+1+2 =6 then 8x2 =16 for each individual earring, then the total number of needs per earring by the total number of earrings is 6x16 which equals 96)
Answer:
An angle can be formed when two rays meet at a common point. The rays are the sides of the angle. The point of the end of two rays is called the vertex.
Step-by-step explanation:
Answer:
Class A :
Class B :
Step-by-step explanation:
Class A :
Let the amount of Salt in the solution be represented by y as, it is supposed to be the independent variable.
Similarly let the amount of Water in the solution be x
As we are given that for Class A , The ratio of salt content to water content is 3 to 5
Hence
Multiplying both sides by x we get
Class B :
Let the amount of Salt in the solution be represented by y as, it is supposed to be the independent variable.
Similarly let the amount of Water in the solution be x
As we are given that for Class A , The ratio of salt content to water content is 2 to 4
Hence
multiplying both sides by x we get
Answer:
1)
2)
Step-by-step explanation:
The equation of the parabola in the vertex form is
where is the vertex of the parabola.
1) Given:
Rewrite it as
2) Given:
Rewrite it as