Answer:
5(3 + 13)
Step-by-step explanation:
Y<-8 because the number y is no less
Exchange x and y and solve for y
y=2x+4
x=2y+4
2y=x-4
y = x/2 - 2
g(x)=x/2 - 2
Answer:
PR5T represents <em>6754.</em>
P = 6
R = 7
T = 4
Y = 5
Step-by-step explanation:
Let us try to understand the subtraction starting from the unit's digit.
P R 5 T
- 4 7 Y 6
-----------------
1 9 9 8
To get 8, 6 should be subtracted from 14
14 - 6 = 8
So, T should be equal unit digit of 14 <em>i.e.</em> T = 4 and 1 should be carried over from the ten's digit of PR5T.
Now, let us move to ten's digit:
P R 5 4
- 4 7 Y 6
-----------------
1 9 9 8
To get 9, 6 should be subtracted from 15. But 1 is already carried to unit's place So, we have actually 14 here
14 - Y = 9
So, Y = 5
Moving to hundred's place:
R - carry - 7 = 9
Carry is 1, so R = unit's place of 9 + 8 i.e. R = 7
Moving to thousand's place:
P - carry - 4 = 1
Here carry is 1
So, P = 1 + 4 + 1 = 6
So, the number PR5T is <em>6754.</em>
Radio Barn : 200 + .15 x x = the weekly sales
Woofer: 300 + .10x
set them equal to find when they are them same
200 + .15x = 300 + .10x
subtract .10x from both sides
200 +.15x -.10x = 300 + .10x-.10x
200 +.05x = 300
subtract 200 from each side
200+.05x -200 = 300-200
.05x = 100
divide each side by .05
.05x/.05 = 100/.05
x =2000
The 2 jobs pay the same when the weekly sales are 2000 dollars
2. {x - 5 = -y}
{2y - 10 = -2x}
x-5 = -y
add 5 to each side
x = -y+5
multiply each side by -2
-2x = 2y -10
the 2 equations are the same, it has an infinite number of solutions
The system is dependent since the 2 equations are the same line
3. {2x = y - 7}
{4x - 2y - 14 = 0}
2x = y-7
subtract y-7 from each side
2x - (y-7) = 0
2x -y+7 =0
multiply by 2
4x -2y +14 =0
subtract the two equations
4x -2y +14 =0
4x - 2y - 14 = 0
---------------------------
28 = 0
since this cannot happen the lines will never cross ( parallel lines)
the system is inconsistent
