We have to find the value of x from the given equation.
- (x - 2)(x² - 2x + 2) = 0 is a quadratic equation, so it will have two values.
Step: Write the equation in simplest form.
Step: Solve the problem by spiltting method.
- (x-2)(x² - x -x + 1) = 0
- (x - 2)(x²-x - x + 1) = 0
- (x - 2) [x(x - 1) -1(x -1)]
- (x - 2)[(x-1)(x-1)]
Step: Solve the problem with using algebraic formula.
{x-1](x-1)
Step : We have used a²-b² to solve the problem.
(x-2)(x² - x -x + 1) = 0
(x - 2)(x²-x - x + 1) = 0
(x - 2) [x(x - 1) -1(x -1)]
(x - 2)[(x-1)(x-1)]
Therefore, the possible factorization is (x - 2)[(x-1)(x-1)].
Answer:
-3 / 5
Step-by-step explanation:
18-6 / -16-4
12 / -16-4
12 / -20
-3 / 5
The expression y = 660(0.902)ˣ represents a decay , the rate of decrease is 9.8% .
In the question ,
it is given that ,
the the exponential function is y = 660(0.902)ˣ
we need to determine that , the equation represents a growth or decay .
0.902 is the variable that will determine a growth or decay .
Since, 0.902 is less than 1 , so it represents a decay function .
To find the rate we subtract 0.902 from 1
= 1 - 0.902
= 0.098
= 9.8% decrease rate
Therefore , The expression y = 660(0.902)ˣ represents a decay , the rate of decrease is 9.8% .
The given question is incomplete , the complete question is
Identify if it's Growth or Decay , and determine the percentage rate of increase or decrease , the function is y = 660(0.902)ˣ ?
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The true statements is the population was 4800 when the collection of data began. (3rd option)
<h3>What is an
exponential function?</h3>
An exponential equation can be described as an equation with exponents. The exponent is usually a variable.
The general form of exponential equation is f(x) = 
Where:
- x = the variable
- e = constant
When a population grows at an exponential rate, it usually has compound rate of growth. Compound growth refers to the geometric progression of a variable.
The exponential equation used to represent an exponential growth usually have this form:
FV = PV (1 + r)^n
Where:
- FV = future population
- PV = present population
- r = rate of growth
- n = number of years
Given this exponential equation : f(x) = 4800 (1.02)^t
- 4800 = initial population or population when the data collection began
- 2 % = rate of growth
- t = number of years
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Answer:
There are only two choices, a black or white duck, so a coin is the best choice. To represent a set of possible outcomes, toss the coin three times. Repeat the experiment multiple times. To find the probability, divide the observed desired outcomes by the total number of trial
Step-by-step explanation:
