Which of the following graphs represent functions Circle your answers. If it is a function, state the domainand range. If the graph is not included, make a table and graph the function by hand.
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Answer:
Step-by-step explanation:
A). y = |2x - 3| + 1
Domain of function is defined by the x-values (Input values) and Range by the y-values(Output values).
From the graph,
Domain : (-∞, ∞)
Range : [1, ∞)
B). Table of the input-output values of the function,
y = x² - 2x + 1
x -2 -1 0 1 2
y 9 4 1 0 1
By graphing the function as attached,
Domain of the function : (-∞, ∞)
Range of the function : [0, ∞)
C). x² + y² = 3²
Domain of the function : [-3, 3]
Range of the function : [-3, 3]
D). x = 5
Domain of the line : [5, 5]
Range of the line : (-∞, ∞)
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two car rental companies have different rental plans. Sand's Car Rental charges $50 a day and 10 cents every mile traveled. Beach Car Rental charges $60 dollars a day and no per mile charge. How many days would the trip need to be to make the costs equal, if the trip total was 300 miles?
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Step-by-step explanation:
The cosine of U is equal to the adjacent side divided by the hypotenuse.
cos(U) = 28/53
You can simplify it from there.
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I = Prt
Percent (6%) x rate (650) x time (60 months) = 2,340
6% = 0.06
0.06 x 60 x 650 = 2,340
Final answer:
You would end up with approximately $871.89 in your bank account after investing $650 for 60 months at an annual interest rate of 6%, if the bank compounds the interest yearly.
Explanation:
In this case, we are calculating the compound interest over a certain period. The formula for compound interest is:
P = C * (1 + r/n)^(nt)
- C is the initial deposit (the principal). In your case, this is $650.
- The interest rate (r) is 6%. To use this in the formula, we need to convert it to decimal form by dividing by 100, so r = 0.06.
- n is the number of times that interest is compounded per unit t. Since it's not stated in the question, we'll assume it is once per year.
- t is the time the money is invested for in years. Converting your 60 months to years gives t = 60/12 = 5 years.
Substitute the values into the formula:
P = $650 * (1 + 0.06/1)^(1*5)
Applying mathematics, we get an approximate final balance of $871.89
Learn more about Compound Interest here:
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The answer is 1/3, I just answered this on USATP.
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Step-by-step explanation:
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