Keywords:
<em>Equation, variable, value, clear
</em>
For this case we have an equation with a variable of the form
. Where
. Given the value of
, we want to find the value of the variable "x". So, we have:

We must clear "x", for this, we add "19" to both sides of the equation:

We divide between "3" on both sides of the equation:

Thus, the value of the variable "x" is 30.
Answer:

Option A
Answer:
After 25 years the population will be:
- Australia: 22271200
- China: 1580220878
- Mexico: 157380127
- Zaire: 112794819
Step-by-step explanation:
Growth rate problem that has a growth rate proportional to the population size can be solved using the equation:
P(t) = P₀eʳᵗ
- t is your unit of time. It could be days, or hours, or minutes. It changes depending on each problem. In this problem, t is measured in years because you're jumping from 2000 to 2025. Years just makes the most sense to measure that leap in time.
- P(t) is the population at time t. An example in this problem could be P(20) would be the population 20 years after the initial count. or maybe P(12) would be the population 12 years after the initial count. or P(0) would be the initial count of the population.
- P₀ is the initial population at P(0)
- r is the growth rate.<u><em> Don't forget to convert the percentage to its decimal form</em></u>
Now that everything is set out, lets use the equation to solve for our answer.
P(t) = P₀eʳᵗ
<u>Australia:</u>

after 25 years

<u>China:</u>

after 25 years:

<u>Mexico:</u>

after 25 years:

<u>Zaire:</u>

after 25 years:

75 divided by 15 is 5. 5 eggs per hen
Answer:

Step-by-step explanation:
Given;
x² - 2x - 1 = 0
Solve by completing the square method;
⇒ take the constant to the right hand side of the equation.
x² - 2x = 1
⇒ take half of coefficient of x = ¹/₂ x -2 = -1
⇒ square half of coefficient of x and add it to the both sides of the equation


⇒ take the square root of both sides;

Therefore, option B is the right solution.