Suppose a curve is given by the parametric equations x=f(t), y=g(t), where the range of f is [2, 7] and the range of g is [1, 4]. What can you say about the curve? You must select all correct choices to get full credit on this problem.
A. The curve is the line with endpoints (-1, -1) and (4, 10).
B. The curve must lie inside a circle with center (-1, -1) and radius 0.5.
C. The curve is completely contained in the rectangle [-1, 4] by [-1, 10].
D. The curve is a circle with center (-1, -1) and radius 10.
E. The curve must lie outside the rectangle [-1, 4] by [-1, 10].
F. Nothing can be said about the curve.

answer: there are 453.592 grams in a pound.

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8

d: (13,-1)

step-by-step explanation:

we know the starting point is (1,5)

the ending point is (x,y)   (cristians house)

the total distance is 6 units (5: 1)  

the fast food restaurant is at (11,0) and is 5/6ths of the way from the starting point to the ending point

ending minus starting point * 5/6   is how far they went

(x-1) *5/6, (y-5) * 5/6

we then need to add the starting point to determine the location

5/6(x-1) + 1, (y-5) * 5/6 + 5

this equals the fast food location of 11,0

setting the x locations equal

5/6 (x-1) +1 =11

subtracting 1 from each side

5/6 (x-1) +1-1 =11-1

5/6(x-1) =10

multiplying by 6/5 on each side

6/5*5/6(x-1) = 10*6/5

x-1 =12

add 1 to each side

x-1+1 =12+1

x=13

do the same for the y coordinate

(y-5) * 5/6 + 5 =0

subtract 5 from each side

(y-5) * 5/6 + 5-5 =0-5

5/6 (y-5) = -5

multiplying by 6/5 on each side

6/5*5/6 (y-5) = -5 *6/5

y-5 = -6

add 5 to each side

y-5+5 = -6+5

y=-1

the ending point , or the coordinates of cristians house is

(13,-1)