The equation would be 2n x 2 = 3n - 1/2.
So, combine like terms to make it 4n = 3n - 1/2. Subtract to get n = -1/2.
Your answer is -1/2.
Answer:
x can be 3, -3, i, or -i.
Step-by-step explanation:
If you can't find the factoring by looking at this, simplify the equation.
let
x
2
=
y
to make things easier to see
Now we have
y
2
−
8
y
−
9
=
0
See it now?
We can factor into
(
y
−
9
)
(
y
+
1
)
Now substitute back in
x
2
for
y
.
(
x
2
−
9
)
(
x
2
+
1
)
Since
(
x
2
−
9
)
is a difference of two squares,
(
x
−
3
)
(
x
+
3
)
Now we have
(
x
−
3
)
(
x
+
3
)
(
x
2
+
1
)
x can be 3, -3 for the first two parts
x
2
+
1
=
0
can become
x
2
=
−
1
Taking the positive and negative root means
x
=
±
√
−
1
Thus
x
=
±
i
in addition to 3 and -3.
Answer:
Both boxes have the same amount of work applied to them. The smaller box will get to the end first.
Step-by-step explanation:
For the 400 kg box, we can say,
force = 1 newton
force = mass*acceleration
1 = 400*acceleration
acceleration = 1/400 meters per second^2
acceleration = 0.0025 meters per second^2
Each second, the larger box's velocity is increasing by 0.0025 meters per second.
While the smaller box would have an acceleration of...
force = 1 newton
force = mass*acceleration
1 = 200*acceleration
acceleration = 1/200 meters per second^2
acceleration = 0.005 meters per second^2
Which is twice as much as the larger box.
Put simply: if the force applied is the same for the two boxes, then the smaller box will have larger acceleration. This is because more force is needed to push on the larger mass.
Because the smaller box has more acceleration, it will naturally travel faster compared to the larger box. Therefore, the smaller box reaches the goal line faster.
