1.
a. x-4x=-6
A ) 1
B ) -10
C ) -6
X^2-10x-24=0
( X-4 ) ( x+6 )
X-4=0 x=4
X+6=0 x+-6
b. x=7+4=5. 5 x=7-4=1. 5
x=-b±b2-4ac2a
x= ( -7 ) ± ( -7 ) 2-4 ( 3 ) ( 20 ) 2a
x=7±64-802a
x=7±-16
x=7+4/2=5. 5
x=7-4/2=1. 5
c. 10x^2+x-3=0
x=-b±b2-4ac2a
x=-1± ( 1 ) 2-4 ( 10 ) ( -3 ) 2 ( 10 )
x=1±1-12020
x=1±10
x=1+320 = 5
x=1-320= 10
2.
a. ( -2. 3. 0 ) . ( 0. 6. 3 )
B. This is a maximal map.
This is a maximal map because it is at the extremum of the parabola.
c. ( 2. 9 )
d. x=2
3.
a. s= -16t^2+64t+25
B. 73 Foot
S= -16? ( 1 ) ^2+64? ( 1 ) +25
S= -16+64+25
S=73 pess
c. 2 seconds
-b2a= -642 ( -16 ) = -64/-32=2 seconds
d. 89 pess
S= -16* ( 2 ) ^2+64* ( 2 ) +25
S= 64+128+25= 89 pess
4.
a. x | y |
-2 | 4 |
-1 | 0 |
0 | -2 |
1 | -2 |
2 | 0 |
3 | 4 |
Y=x^2-x-2
X=-2 x= -1 x=0 x=1 Y=-2^2- ( -2 ) -2 y= -1^2- ( -1 ) -2 y= 0^2-0-2 y=1^2-1-2 Y=4+2-2 y= 1+1 -2 y= -2 y= 1-1-2 Y=6-2 y= 2-2 y= 0-2 Y=4 y=0 y= -2
X=2 x=3
Y=2^2-2-2 y=3^2-3-2
Y=4-2-2 y=9-3-2
Y=2-2
B. [ movie ]
c. x intercept is ( 2. 0 )
Y intercept is ( 0. -2 )
