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
Answer:
30 houses
Step-by-step explanation:
Time from 6:30 pm to 8:45 pm = 2 hr 15 min
Time in minutes = (2 hr × 60 min/hr) + 15 min = 135 min
Average visit = 9 min per 2 houses = 4.5 min per house
Number of visits = 135 min ÷ 4.5 min/house = 30 houses
Answer:
c
Step-by-step explanation:
To find f(g(x)), we'll treat g(x) as if it were the x in f(x).
g(x) = x + 3
f(g(x) = (x+3)^2 - 1