A function, F(x), is shown below.
1 answer:
Answer:
range of f(x) = [-4, -2) ∪ [2, 8)
a+b+c+d = -4
Step-by-step explanation:
The graph is attached. The range is the vertical extent of the function. It is defined at f(0) = -4 and f(2) = 2.
The limits f(2-) and f(4-) are -2 and 8, respectively, so the graph has open circles there. These are the ends of the two half-open intervals that make up the range of the function.
The portion of the graph in the domain [4, 7) is included in the range [2, 8), so no special treatment is needed for that piece of the function.
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Answer:
1) The equation that represents the total area of Riley's proposed ratio is .
2) The length and width of the new patio are approximately 18.4 feet and 21.2 feet, respectively.
Step-by-step explanation:
1) From Geometry we remember that area formula for the rectangle is represented by:
(1)
Where:
- Area, measured in square feet.
- Length, measured in feet.
- Width, measured in feet.
From statement we know that Riley wants to double the area, that is:
(2)
By applying (1) in (2), we get the following expression:
(3)
Given that Riley wants to double the area of the pation by increasing the length and width by the same amount, we can rearrange (3) by algebraic means:
(3b)
The equation that represents the total area of Riley's proposed ratio is .
2) If we know that and
, then the length and the width of the new patio are, respectively:
The length and width of the new patio are approximately 18.4 feet and 21.2 feet, respectively.