<h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
Let x represent the number of adults who swam at the pool. Then (262-x) is the number of children. Multiplying these numbers by the corresponding admission charge will give the associated receipts. We are given the total of receipts, so we can write the equation ...
... 2.00x +1.50(262-x) = 470.00
... 0.50x +393.00 = 470.00 . . . . . simplify
... 0.50x = 77.00 . . . . . . . . . . . . . . .subtract 393
... 77.00/0.50 = x = 154 . . . . . . . . . divide by the coefficient of x
... (262-x) = 108 . . . . . . . . . . . . . . . .find the number of children admitted
16
.......................
Exact Form:
t=1+√61/6,1−√61/6
t=1+61/6,1-61/6
Decimal Form:t=1.46837494…,−1.13504161
Answer:
t = 1.5 seconds
Step-by-step explanation:
Given that d = −4t^2 + 2t + 6,
where d = distance above the water and
t = seconds.
Let assume that it's a perfect parabola
At the symmetry
t = -b/2a
Where a = -4, b = 2
t = -2/2(-4)
t = 1/4
To determine how long it will take a diver to reach the water’s surface
d = −4t^2 + 2t + 6
At water surface d =0
4t^2 - 2t - 6 = 0
Factorizing the above equation leads to
4t^2 + 4t - 6t - 6 = 0
4t(t + 1) -6(t + 1) = 0
4t - 6 =0
4t = 6
t = 6/4= 3/2 = 1.5 seconds
Since t can't be negative so we ignore the second factor.
