9514 1404 393
Answer:
- domain: [-6, -1)
- range: [-5, 4]
Step-by-step explanation:
You have correctly determined the domain to be from x = -6 to x < -1. In interval notation, that would be ...
[-6, -1)
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The range is the vertical extent of the graph. It extends from a minimum of y = -5 to a maximum of y = +4 at the top of the curve. In interval notation, that would be ...
[-5, 4]
Answer in one complete sentence:
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"The length of the frame is ten (10) inches."
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Explanation:
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Perimeter = P = 36 in.
Length = L = 2 +2
Width = w .
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These are the two equations for the system of equations:
P = 2L + 2w = 36 in.
L = 2 + w
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Solve for "L" (length) of the frame.
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In the equation:
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P = 2L + 2w = 36.
{Note: standard knowledge; and/or look up:
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Formula for the Perimeter of a rectangle: P = 2L + 2w} ;
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We are given: P = 36 in.
Rewrite, substituting "2+w" for "L" ;
P = 2(2+w) + 2w = 36 ;
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Note: 2(2+w) = 2*2 + 2w = 4 + 2w .
Now, Rewrite the equation, substituting "(4 + 2w) for "2(2+w)" ;
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P = (4 + 2w) + 2w = 36 ;
P = 4 + 2w + 2w = 36 ;
Combine the "like terms" ;
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+ 2w + 2w = 4w ;
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P = 4 + 4w = 36 ;
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↔ 4 + 4w = 36 ;
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Subtract "4" from EACH SIDE of the equation:
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→ 4 + 4w − 4 = 36 − 4 ;
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to get:
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→ 4w = 32 ;
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→ Divide EACH SIDE of the equation by "4" ; to isolate "w" on one side of the equation; and to solve for "w" ;
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→ 4w / 4 = 32 / 4 ;
→ w = 8 .
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Now, to solve for: "L" (the length).
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Length: L = 2 + w ;
→ L = 2 + 8 = 10 inches.
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Answer in one complete sentence:
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"The length of the frame is ten (10) inches."
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The greatest common factor for 10x and 2 is so we take out 2 to give:_
2(5x + 1)
Its D
Answer:
Pi time the radius squared
Step-by-step explanation:
