Answer:
No
Step-by-step explanation:
Replace 0.5 for each x, and 4 for each y, and then solve.
-2y - x = -8.5 - 2x - y = -5
-2(4) - 0.5 = -8.5 - 2(0.5) - 4 = -5
-8 - 0.5 = -8.5 - 1 - 4 = -5
-8.5 = -13 = -5
These numbers are not equal to each other, so the answer is no.
A) Olaf has 250 files, which represent 100%. 12% of that are photos which number is unknown (x).
250 files - 100%
x photos - 12%
So, the proportion should look like:
250 files : 100% = x : 12%
B) After crossing the products:
x = 250 files * 12% : 100%
x = 30 photos
It’s 48 because you need 3, 1/3 cups to make 1 full cup so 3 times 16 is 48!
Answer:
True
Step-by-step explanation:
This set is a function because every input value only has one output value.
Answer:
Maximum rate change |f| = √65
Direction = ( 1, 8 ) / √65
i.e Maximum rate change is √65 and it occurs in a direction of ( 1, 8 )
Step-by-step explanation:
Given that;
f(x, y) = 4y √x, (4, 1)
{ x=4 and y=1 }
Maximum rate of change occurs with the gradient vector;
f = [ df/dx, df/dy ] = [ 2y/√x, 4√x ]
we substitute in our value of x and y
f = 2(1)/√4, 4√4
f = 2/√4, 4√4
f = ( 1, 8 )
Maximum rate change |f| = | ( 1, 8 ) | = √( 1² + 8² ) = √(1 + 64)
Maximum rate change |f| = √65
Direction = f / |f|
we substitute
Direction = ( 1, 8 ) / √65
i.e Maximum rate change is √65 and it occurs in a direction of ( 1, 8 )