6x+2y factor out 2
2(3x+y)
...
We were told that 3x+y=6 so
2(3x+y)=2(6)
6x+2y=12
Answer:
3,360
Step-by-step explanation:
so, to start with, there are 8 over 5 permutations (the sequence of the picked beads matters, but no repetitions of beads are possible) to pick 5 items out of 8 available ones.
that is
8! / ((8-5)!) = 8! / 3! = 8×7×6×5×4 = 6,720
rotations and reflections are the same thing here for a 1- dimensional sequence.
1 2 3 4 5 rotated around the middle (3) is
5 4 3 2 1
a reflection is again
5 4 3 2 1
so, we need to consider that instead of 8 beads for the first choice we have only 4 beads to choose from to leave the other 4 beads as choices for the last position.
once we have this established, it is sure that the first and the last position cannot have mirrored beads in any permutation. and therefore rotational or reflectional permutations are impossible.
in other words, half of the possible permutations would be rotations/reflections, and we need to eliminate them.
so, the calculation is
4×7×6×5×4 = 8×7×6×5×4/2 = 6,720/2 = 3,360
Answer:
9
Step-by-step explanation:
If you multiply 2 x 4 you get 8, then you divide 72 by what you got from the other 2 numbers when multiplied which in this case is 8 to get the final answer of 9.
Step-by-step explanation:
3x=28+y
x=28+y÷3
then puttingx=28+y÷3
3x=14+y
3(28+y÷3)+y=14
84+3y+3y=42
3y+3y=42-84
y=-42÷6
y=7
so putting y=-7
3x-y=28
3x-7=38
x=38+7÷3
x=15
Answer:
Option (4)
Step-by-step explanation:
If we plot the points given in the table attached,
We can get the graph of an absolute function with the line of symmetry as,
x = 4
Let the equation of the parent function (of the absolute function) is,
y = m|x| [Line of symmetry x = 0]
here m = speed of the car = 60 mph
so the equation will be in the form of y = 60|x|
Since, line of symmetry is x = 4, parent function has been translated by 4 units to the right.
So the equation of the transformed function will be,
y = 60|x - 4|
If the car is at 150 miles, equation to determine the driving time will be,
150 = 60|x - 4|
Option (4) will be the answer.