Based on the characteristics of <em>linear</em> and <em>piecewise</em> functions, the <em>piecewise</em> function 
is shown in the graph attached herein. (Correct choice: A)
<h3>How to determine a piecewise function</h3>
In this question we have a graph formed by two different <em>linear</em> functions. <em>Linear</em> functions are polynomials with grade 1 and which are described by the following formula:
y = m · x + b (1)
Where:
- x - Independent variable.
- y - Dependent variable.
- m - Slope
- b - Intercept
By direct observation and by applying (1) we have the following <em>piecewise</em> function:
Based on the characteristics of <em>linear</em> and <em>piecewise</em> functions, the <em>piecewise</em> function is shown in the graph attached herein. (Correct choice: A)
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Answer:
Sample Response: First, the like terms had to be combined using the lowest common denominator (LCD). Then the subtraction property of equality was used to isolate the variable term. Finally, both sides of the equation were multiplied by the reciprocal of the coefficient to solve for a.
Step-by-step explanation:
Answer:
The opposite of prime numbers are composite numbers. A composite number is a positive natural l number that has at least one positive divisor other than one or itself. The number 1 is not a prime number by definition - it has only one divisor.
Step-by-step explanation:
Year 1: 500 + 0.25*500 = 500 [1 + 0.25]
Year 2: 500*[ 1 + 0.25] * [1 + 0.25] = 500 [1 + 0.25]^2
Year x: 500 [1 + 0.25]^x
Option d: A(x) = 500[1 + .25]^x, where .25 is the interest rate
