Answer:
x= 12/5 so A
Step-by-step explanation:
Answer:
the object is in the air on the time interval (0.24 sec, 6.51 sec)
Step-by-step explanation:
The object is 'in the air' for all t such that h> 0. We need to find the roots of h = -16t^2 + 108t - 25 = 0. From the graph we see that both t values are positive. Once we find them, we subtract the smaller t from the larger t, which results in the length of time the object is in the air.
Use the quadratic formula to find the roots of h(t). The coefficients of t are {-16, 108, -25}, and so the discriminant b^2 - 4ac is
108² - 4(-16)(-25) = 11664 - 1600 = 10064, whose square root is 100.32.
Then the quadratic formula x = (-b ± √[b² - 4ac)/(2a) becomes
-108 ± 100.32 108 ± 100.32
t = ---------------------- = --------------------- = 3.375 ± 3.135
2(-16) 32
or t = 6.51 or t = 0.24 (both times expressed in seconds).
So, again, the object is in the air on the time interval (0.24 sec, 6.51 sec)
Answer:
x= -9
Step-by-step explanation:
-x+3=2(x+15)
-x+3=2x+30
-x-2x+3=30-3
-3x=30-3
-3x=27
x= -9
The square root of 16 is 4
Answer:
<em>£ 449.20</em>
Step-by-step explanation:
We have to reduce 465.98 by 3.6%
Firstly, lets convert the percentage to decimal by dividing by 100. So we have:
3.6/100 = 0.036
Lets find 3.6% of 465.98
That is:
0.036 * 465.98 = 16.77528
This is the "LESSENED" amount. So the final amount would be:
465.98 - 16.77528 = 449.20472
<em>Rounding to 2 decimal places, £ 449.20</em>
