Answer:
56.
Step-by-step explanation:
Answer:
t=11,11 days
Step-by-step explanation:
F=frogs poblation, t=time, be the variables dF/dt = KF, dF/F=Kdt, integrating
⇒ LnF=Kt+c,
; Knowing t=0, F=17 and t=6 F=51 (tripling every 6 days (17*3)),
⇒
, so
, now if F=130, t=? we have:

Answer:
The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)
Step-by-step explanation:
Notice that when we start with the function
, and then transform it into the function: 
what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).
Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).
then the point (0, 0) after the translation becomes: (4, -7)
Answer:
4:1
Step-by-step explanation:
x+20 : y+20 = 5 : 2
(x+20)/(y+20) = 5/2
2(x+20) = 5(y+20)
2x+40 = 5y+100
2x = 5y+60 (1)
x-5 : y-5 = 5:1
(x-5)/(y-5) = 5/1
x-5 = 5(y-5)
x-5 = 5y-25
x = 5y-20 (2)
Solve (1) & (2) simultaneously,
2(5y-20) = 5y+60
10y-40 = 5y+60
5y = 100
y = 20
x = 5y-20
x = 5(20)-20 = 100-20
x = 80
x:y
80:20
4:1