Answer:
where
.
The number of players compete in round 7 will be 4.
Step-by-step explanation:
The number of players in a tennis tournament is reduced by half (50%) after every round. In round 1 there are 256 players, in round 2 there are 128 players, and so on.
So, the number of players is multiplied by
gives the number of players in the next round.
Therefore, the explicit function of number of players in nth round is given by
where
.
Therefore, the number of players compete in round 7 will be
. (Answer)
Answer:
1. -4x < 8
2. 4x < 8
3. When something is done to one side of the equation, the same thing must be done to the other side. Dividing each side by -4 in part A would cause the sign to flip because the sign is always flipped when dividing by a negative. Because 4 in 4x (part B) is not negative, the sign is not flipped.
Step-by-step explanation:
Hope this helped!!
Answer:
See Below.
Step-by-step explanation:
We have the equation:

And we want to show that:

Instead of differentiating directly, we can first square both sides:

We can find the first derivative through implicit differentiation:

Hence:

And we can find the second derivative by using the quotient rule:

Substitute:

Simplify:

Combine fractions:

Simplify:

Simplify:

Q.E.D.
Distance=speed times time
distance/time=speed
distance=538
time=9 and 15mins
60mins=1hr
15/60=1/4=0.25
time=9.25hr
distance/time=538/9.25=58.162mph
about 58mph
Answer:
c/e = e/d
Step-by-step explanation:
These are similar triangles. When you flip the larger one clockwise to enable you to see which sides are corresponding, then you find that:
c corresponds to e'
a corresponds to b
e corresponds to d
Therefore, c/e in the original position = e'/d in the flipped position.
<u>So c/e = e/d</u>