Help me with my algebra 2 help me on my homework #20?

Question

1 The five fastest roller coasters in the world are the Fujiyama(Japan), Goliath(CA), Millennium Force (OH), Steel Dragon 2000(Japan), and Superman the Escape(CA). The speeds, in miles per hour, of the first four coasters are 83, 85, 92, and 95, respectively. How fast can Superman the Escape travel if the average speed of all five coasters is no more than 91miles per hour?

a no more than 100 mph

b at least 93 mph

c at least 100 mph

d no more than 93 mph

2 find the coordinates of the vertices's of the figures formed by y<x+2, x+y<6, and y>-2

a (0,0), (2,4), (8,-2)

b (-4,-2), (2,4),(8,-2)

c (-4,-2),(4,2),(8,-2)

d (-2,-4),(2,4),(8,-2)

3 solve [2x+5y/x+3y] = [1,0] for y

a 1

b 3

c -3

d -1

4 the vertices's of ABC are A(-3,-4), B(-1,3) C(3,-2). the triangle is rotated 90 degrees counterclockwise. Use the rotation matrix [0,-1]/[1,0] to find the coordinates of C'.

a (-3,2)

b (4,-3)

c (-3,-1)

d (2,3)

5 if g(x) = 3x-8, find g[g(-4)]

a -68

b 4

c -20

d -52

6 write an equation for an ellipse if the if the end point of the major axis are at (-8,1) and the end points pf the minor axis are at (0,-1) and (0,3).

Answer 1

1) b at least 93 mph

2) c (-4,-2),(4,2),(8,-2)

3) d -1

4) b (4,-3)

5) d -52

6)i think i would say would be x^2/64+(y-1)^2/4=1

Answer 2

5!

put the equation g(x) into the x part of the outer g that is g(g(x)). if that makes sense.

x is equal to -4.

3(3x-8)-8

see^ where the x is replaced w/ that equation. anyway, now sub in -4 for x

3(-20) - 8

-68.

see?

so a for #5.