Answer:
See below in bold.
Step-by-step explanation:
a. The y coordinate will be (0, 25,350) as $25,350 is the value of the new car at year 0.
The x coordinate will be when the car is worth zero dollars and this is at the point (13, 0).
b. The slope = -25,350 / 13 = -1950.
c. The equation is y = -1950x + 25350.
d. To draw the graph just join the above 2 points.
1) is: (4,-1)
I: x>3
II: y<=2*x-5
a: (5,6):
I: 5>3 ?yes
II: 6<=2*5-5
6<=5 ?no
This is not a solution
b: (4,-1):
I: 4>3 ?yes
II: -1<=2*4-5
-1<=3 ?yes
This is a solution
c: (-3,-1):
I: -3>3 ?no
This is not a solution
d: (1,11):
I: 1>3 ?no
This is not a solution
2) is (8,-1):
I: x+y>=5
II: x-2*y>8
a: (6,1):
I: 6+1>=5
7>=5 ?yes
II: 6-2*1>8
4>8 ?no
This is not a solution
b: (8,-1):
I: 8+-1>=5
7>=5 ?yes
II: 8-2*-1>8
10>8 ?yes
This is a solution
c: (6,2):
I: 6+2>=5
8>=5 ?yes
II: 6-2*2>8
2>8 ?no
This is not a solution
d: (6,-2):
I: 6+-2>=5
4>=5 ?no
This is not a solution
3) is (6,2):
I: 2*x+4*y>0
II: -x+5*y>0
a: (0,0):
I: 2*0+4*0>0
0>0 ?no
This is not a solution
b: (-4,-2):
I: 2*-4+4*-2>0
-16>0 ?no
This is not a solution
c: (6,2):
I: 2*6+4*2>0
20>0 ?yes
II: -6+5*2>0
4>0 ?yes
This is a solution
d: (6,0):
I: 2*6+4*0>0
12>0 ?yes
II: -6+5*0>0
-6>0 ?no
This is not a solution
Answer: 745.6
Step-by-step explanation:
Answer:
x=-15/2 and y=7
Step-by-step explanation:
y=-4x-23
y=-2x-8
Two methods, substitution and elimination. Elimination is the easiest, so you can subtract the equations.
y=-4x-23
-(y=-2x-8)
----------------------
y=-4x-23
-y=2x+8
------------ so solve :)
0=-2x-15
becomes 2x=-15
so x=-15/2
------------------------ plug in x to solve for y
and you get y=7