Answer:
In most cases, there are two types of functions that have horizontal asymptotes. Functions in quotient form whose denominators are bigger than numerators when x is large positive or large negative.
Step-by-step explanation:
Answer:
3x - y = 0; 2x - y = -5
Step-by-step explanation:
Let x be the present age of Hans and y be the present age of Grace,
Since, in present Grace is three times as old as Hans,
⇒ y = 3x
⇒ 3x - y = 0
Now, after 5 years,
The age of Hans = x + 5,
And, the age of Grace = y + 5
Also, in 5 years Grace will be twice as old as Hans is then,
⇒ y + 5 = 2 ( x + 5 )
⇒ y + 5 = 2x + 10
⇒ 2x - y = -5
Hence, the required system of linear equations is,
3x - y = 0; 2x - y = -5
Ten thousand is the place value of the 9 in that number
Answer:
39,096,288
Step-by-step explanation:
as we know that
The number of ways to pick 5 numbers from 45 are
= 1,221,759.
There are 32 ways to pick a gold ball so total number of ways to get 6 matching numbers is
1221759×32
= 39,096,288
