start value Step-by-step explanation:
Answer:
(a) i and ii: 2b-2 = b+b-2
(b) i and iii: c+d = d+c
(c) ii and iii: a + 2b - 1 = a+b-1+b
(d) i and iii: x+(y-z) = x-(z-y)
(e) ii and iii: (a-1)² = (1-a)²
(f) i and ii: 3a-b-1-1 = 3a+b-2-2b
Step-by-step explanation:
let me know if you require detailed explanation for any of them.
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.
Answer:
a^(-2 3/5)
Step-by-step explanation:
When you multiply two numbers together with the same base, you can add the two exponents together. In this case, 
. Hope this helps!
Answer:
x=5
Step-by-step explanation:
To start solving this, you want to solve an equation for y. I chose 3x - 7y = 4 for later purposes. Subtract 3x from both sides and divide by -7 to get y = 4 - 3x / -7. Now because we have a value for y in terms of x, plug this into the other equation, x + 7y = 16. It now should look like this: x + 7(4 - 3x / -7) = 16. Now just distribute the 7 and simplify the denominator to get x+ (-4+3x)=16. This can now be 4x +4 = 16, starting to look familiar now. Lastly subtract the 4 from both sides and divide by 4 to get x = 5. Hope this helps!
