Answer:
Step-by-step explanation:
p has to be pretty small because it is cubed. 3 doesn't work because 3 cubed = 27 which does not divide into 56.
So we should try p = 2
2^3 = 8
56 / 8 = 7
2 is prime
7 is prime
p = 2
q = 7
Answer:
X is equal to 1, because for any other number x, 1*x = x. So, the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all.
Answer:
16 years.
Step-by-step explanation:
Please consider the complete question.
Assume that the suburb has a population of 686,000 and is growing at a rate of 4000 per year. Assume that the city has a population of 942,000 and is declining at a rate of 12000 per year. In how many years will the populations of the suburb and the city be equal?
Let x represent number of years.
Growth function would be
and decline function would be
.
To find the time when both populations will be equal, we will equate both functions as:







Therefore, in 16 years the populations of the suburb and the city will be equal.
A) is 2x
b) is

c) is -2x
I think these are correct.
![log_{10}1000^{x] = log_{10}10^{2x}=2x](https://tex.z-dn.net/?f=log_%7B10%7D1000%5E%7Bx%5D%20%3D%20log_%7B10%7D10%5E%7B2x%7D%3D2x)
I did similar things to get other answers