Answer:
X= -12
Step-by-step explanation:
So just combine like terms and isolate the variable
5x+2=6x+14
2=x+14
-12=x
So x is negative twelve
Answer:
Since the Frog makes a Jump every 10 seconds
( using the digits on a random number table )
- It will take 7 jumps with 2 jumps in reverse direction i.e. either left or right for the frog to be off the board in 60 seconds
- it will take 3 jumps in similar direction as well to get the frog off the board
- also 5 jumps with 1 jump in the opposite direction is what it will take to get the frog off the board as well within the time frame of 60 seconds
Step-by-step explanation:
A frog sitting exactly in the middle of a board which is 5ft long : frog is 2.5 ft from the edge of the board
every 10 seconds the frog jumps ; L or R
If he jumps ; LLRLRL ( still on Board on the left-most square )
if he jumps ; LLRLL ( He is off the Board in fifty seconds )
Since the Frog makes a Jump every 10 seconds
( using the digits on a random number table )
- It will take 7 jumps with 2 jumps in reverse direction i.e. either left or right for the frog to be off the board in 60 seconds
- it will take 3 jumps in similar direction as well to get the frog off the board
- also 5 jumps with 1 jump in the opposite direction is what it will take to get the frog off the board as well within the time frame of 60 seconds
-1/3x-4/3y=2
1/3x-2/3y=4
First realize that the coefficient of x is -1/3 and 1/3 which can be eliminated with addition
Adding the two equations together gets
-6/3y=6
Simplify
-2y=6
y=-3
Substitute back into original equation
1/3x-2/3(-3)=4
1/3x+2=4
1/3x=2
x=6
Answer
x=6, y=-3
Check answer
-1/3(6)-4/3(-3) =?= 2
-2+4=2
2=2
Done!
A. F(x)= 3x+6 =12
3x = 12-6
3x = 6
x=2
B. x=10, f(x)= 3*10+6 = 30+6 = 36
C. f(x) = 3x+6 = 6
3x = 6-6
3x=0
x=0
D. x=5, f(x) = 3x+6 = 3*5+6 = 15+6 = 21