And here is the other one.
1 answer:
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Answer:
Domain: (-∞, -2) U [-2, 1] U (1, ∞)
Range: (-∞, 2) U [-3, -∞)
Step-by-step explanation:
This function is composed of three polynomial functions, a positive slope line , whose domain is all real numbers, a horizontal line, and a negative slope line
whose domain is all real numbers.
Observe in the attached graph that the function has a discontinuity in x = -2, it has a jump.
When x approaches -2 by the left hand, y tends to 2. But when x approaches -2 from the right y tends to -3.
In addition, the function comes from -∞, then has a maximum value at y = 2 and finally derece up to -∞
Then we can conclude that for this piecewise function:
Domain: (-∞, -2) U [-2, 1] U (1, ∞) All Real Numbers
Range: (-∞, 2) U [-3, -∞)
Answer:
Equivalent systems of equations review
Step-by-step explanation:
We're given two systems of equations and asked if they're equivalent.
x + 4y = 8 (1)
4x + y = 2 (2)
Interestingly, if we sum the equations in System A, we get:
Replacing the first equation in System A with this new equation, we get a system that's equivalent to System A:
This is System B, which means that System A is equivalent to System B.
The annual interest rate on the saving account of Xavier which is earned simple interest is 9%.
<h3>What is simple interest?</h3>Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.
The formula for the simple interest can be given as,
Here, (<em>I</em>) is the interest amount on the principal amount of (<em>P</em>) with the rate of (<em>r</em>) in the time period of (<em>t</em>).
Xavier opened a savings account with a deposit of $12,000. At the end of 3 years, the account balance was $12,324.
The principal amount is $12000 and the total amount is $12324. Thus, the interest earned by the Xavier is,
Total time period is 3 years and the account earned simple interest. Thus, put these values in the above formula as,
Hence, the annual interest rate on the saving account of Xavier which is earned simple interest is 9%.
Learn more about the simple interest here;