Answer and Step-by-step explanation:
a.)x^2 and y^2 are always greater than zero.(assuming real x and y).
=>x^2<=x^2+y^2
=>|x|(x^2)<=|x|(x^2+y^2)
=>|x^3|<=|x|(x^2+y^2)
b. similarly, |y^3|<=|y|(x^2+y^2)
=>|f(x,y)|=|x^3+y^3|/(x^2+y^2)=|x|+|y|
c. let h is very small number (close to zero but positive)
lim (x,y)-> (0,0) f(x,y)=(x^3+y^3)/(x^2+y^2)
putting x=h and y=h and approaching h->0
lim h->0 f(h)=2h=0
There is another explanation attached below
Answer:
Integers -3, 9, 5, 56/7, -1
Step-by-step explanation:
Integers are whole numbers that can be positive or negative. They do not have decimals.
Answer:
D. 60
Step-by-step explanation:
4(3x + 3) = 5(x + 8) 12(4) + 12 5(4) + 40
12x + 12 = 5x + 40 48 + 12 20 + 40
-5x -5x 60 60
7x + 12 = 40
-12 -12
7x = 28
x = 4
In order to calculate LCD of 4/9 and 7/12, you need to calculate LCM of their denominators which is 9 and 12, it would be 36
In short, Your Answer would be 36
Hope this helps!
Answer:
B) 57.4+x=67
Step-by-step explanation:
We take the amount in the piggy bank. Then we take the amount spent and add it to the amount she has left. These two amounts should be equal
piggy bank = spent + left
67 = x + 57.40
