Answer:
f(-3) = 9
Step-by-step explanation:
Step 1: Define
f(-3) = x = -3
f(x) = x²
Step 2: Substitute and Evaluate
f(-3) = (-3)²
f(-3) = 9
Answer:
x = 3
So,
PQ= 5
RS=6
Step-by-step explanation:
Hope it helps you.....
Answer:
number of ways = 720
Step-by-step explanation:
The number of ways six people sit in a six-passenger car is given by the number of permutations of 6 elements in 6 different positions ( seats), then
number of ways = number of permutations of 6 elements = 6! = 6 * 5 * 4 *3 * 2 * 1 = 720
Since the first person that sits can be on any of the seats , but then the second person that sits can choose any of 5 seats (since the first person had already occupied one) , the third can choose 4 ... and so on.
Answer:
Answer C: g(x)
Step-by-step explanation:
I used a graphing calculator to graph f(x) = -x^2 + 4x - 5, and by doing so I immedately saw that the vertex of f(x) is at (2, -1).
The absolute max of g(x) is approximately (3.25, 6.1).
The absolute max of f(x) is approximately (2, -1).
Since the y-coordinate of the absolute maximum of g(x) is greater than the y-coordinate of the absolute maximum of f(x), we conclude that Answer C is correct: g(x) has the greater absolute maximum
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Define the two numbers
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Let the first number be x.
Let the second number be y.
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Form equations and solve x and y
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x + 2y = 14 ------------------ (1)
2x + y = 31 ------------------ (2)
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Equation (1) x 2
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2x + 4y = 28 ---------------(1a)
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Equation (1a) - 2
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3y = 28 - 31
3y = -3
y = -1
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Substitute y = -1 into (1)
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x + 2(-1) = 14
x -2 = 14
x = 14 + 2
x = 16
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Answer: x =16, y = -1
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