Which statement Which of the following relations does not represent a function of x? describes the graph?
1 answer:
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Equation Given
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x² + 2x = 17
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Add the constant to make it perfect square
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x² + 2x + (2/2)² - ²(2/2)² = 17
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Evaluate the brackets
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x² + 2x + (1)² - ²(1)² = 17
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Form the perfect square
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(x + 1)² - 1 = 17
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Add 1 to both sides
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(x + 1)² = 17 + 1
(x + 1)² = 18
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Square root both sides
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√(x + 1)² =
√18
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Solve for x
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x = 4.24 - 1 or - 4.24 -1
x = 3.24 or - 5.24 (nearest hundredth)
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Answer: x = x = 3.24 or - 5.24
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Equation Given
--------------------------------------------------------
x² + 2x = 17
--------------------------------------------------------
Add the constant to make it perfect square
--------------------------------------------------------
x² + 2x + (2/2)² - ²(2/2)² = 17
--------------------------------------------------------
Evaluate the brackets
--------------------------------------------------------
x² + 2x + (1)² - ²(1)² = 17
--------------------------------------------------------
Form the perfect square
--------------------------------------------------------
(x + 1)² - 1 = 17
--------------------------------------------------------
Add 1 to both sides
--------------------------------------------------------
(x + 1)² = 17 + 1
(x + 1)² = 18
--------------------------------------------------------
Square root both sides
--------------------------------------------------------
√(x + 1)² =
--------------------------------------------------------
Solve for x
--------------------------------------------------------
x = 4.24 - 1 or - 4.24 -1
x = 3.24 or - 5.24 (nearest hundredth)
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Answer: x = x = 3.24 or - 5.24
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Answer:
Domain of the function is { x : x∈R, x>0 } or (0,∞).
Step-by-step explanation:
It is given that the dimensions of a rectangular piece of cardboard are
Length = 14 inch
Width = 10 inch
The box will be constructed by cutting out equal squares of side x at each corner and then folding up the sides. So the dimensions of the box are
Length = 14-2x inch
Breadth = 10- 2x inch
Height = x inch
The volume of cuboid box is
The volume function of the box is
The volume function is V=(14-2x)(10-2x)x.
It is a polynomial function and domain of a polynomial function is all real numbers.
Here, x represents the height of the box. So, value of x must be a positive real number.
Domain of the function is
Domain = { x : x∈R, x>0 }
It can be written as (0,∞).
Therefore, domain of the function is { x : x∈R, x>0 } or (0,∞).