Please please help me out !!!!!!
1 answer:
Answer:
C
Step-by-step explanation:
The red graph is not a direct translation of y = f(x)
If we consider the coordinates of corresponding points on the black graph to those on the red graph
Left set of points
(- 2, - 2 ) → (- 2, - 1 )
middle points
(2, 2 ) → (2, 1 )
right set of points
(4, - 4 ) → (4, - 2 )
Note that in each case the y- coordinate on the red graph is one half the value of the y- coordinate on the black graph, thus
The equation of the red graph is
2y = f(x) → C
since y = f(x)
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Now you know that x could be -29 or 20. For dimensions, the value of x must give you a positive value for length and width. That means x can only be 20. Plugging x=20 into your equations for the length and width, you get:
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Width = x + 4 = 20 + 4 = 24 ft.
The dimensions of your room are 25ft (length) by 24ft (width).
The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle.
You're given that the length, l = (x+5)ft and the width, w = (x+4)ft. You're also told that the area, A = 600 sq. ft. Plug these values into the equation for the area of a rectangle and FOIL to multiply the two factors:
Now subtract 600 from both sides to get a quadratic equation that's equal to zero. That way you can factor the quadratic to find the roots/solutions of your equation. One of the solutions is the value of x that you would use to find the dimensions of the room:
Now you know that x could be -29 or 20. For dimensions, the value of x must give you a positive value for length and width. That means x can only be 20. Plugging x=20 into your equations for the length and width, you get:
Length = x + 5 = 20 + 5 = 25 ft.
Width = x + 4 = 20 + 4 = 24 ft.
The dimensions of your room are 25ft (length) by 24ft (width).