Answer (B) 2/3
Explanation: the multiplicative rate is the ratio of the values y(k)/y(k+1) (with k being the index). This ratio must be the same for the function to be exponential. We can take y(2)/y(1) = 4/6 = 2/3.
We can use 2/3 to verify the remaining entries:
x=3: 4*2/3 = 8/3 = y(3)
x=4: (8/3)*(2/3)=16/9=y(3)
d = distance between the two cities
v₁ = average speed while going from chicago to kansas city = 440 knots
t₁ = time taken to travel distance going from chicago to kansas city
time taken to travel distance going from chicago to kansas city is given as
t₁ = d/v₁
t₁ = d/440 eq-1
v₂ = average speed while going from kansas city to chicago = 110 knots
t₂ = time taken to travel distance going from kansas city to chicago
time taken to travel distance going from kansas city to chicago is given as
t₂ = d/v₂
t₂ = d/110 eq-2
Given that :
t₂ = t₁ + 3
using eq-1 and eq-2
(d/110) = (d/440) + 3
d = 440
Answer:
x=-2.25,y=-2.25
Step-by-step explanation:
The given system is

We want to solve the system for x and y that makes the system true.
Let us multiply the first equation by 3 while maintaining the second equation:

Subtract the current second equation from the first one.

Divide through by 12:

From the second equation we have:

This implies that:

Answer: 15 cm
Step-by-Step Explanation:
Side Length (a) = 5cm
Perimeter = 3a
Therefore,
= 3a
= 3 * 5
= 15
Perimeter = 15 cm
Answer:(x+3)(3x+4)
Step-by-step explanation: