The simplified form is 12x-40
The answer is 0.1 i think
14. 36x^2 - 16
4(9x^2 - 4) =
4(3x + 2)(3x - 2) <==
15. 3x^2 + 10x - 8
(3x - 2)(x + 4) <==
16. 5x^2 - 16x + 15 = 4x - 5
5x^2 - 16x - 4x + 15 + 5 = 0
5x^2 - 20x + 20 = 0
5(x^2 - 4x + 4)
5(x - 2)(x - 2)
x - 2 = 0....x = 2
Answer:
Although strictly speaking of mathematics i.e. theoritically,
t
can take any value from
{
−
∞
,
∞
]
,
however, it is essentially a physical problem related to Physics and we cannot have negative
t i.e. t
≥
0
Further, after the maximum is reached at t
=
2 (observe that first differential is h
'
(
t
)
=
−
32
t
+
64
, which is zero at t
=
2 and second derivative h
'
'
(
t
)
=
−
32 is negative and at this we have h
(
2
)
=
64
), at t
=
4
, h
(
4
)
=
0 i.e. toy rocket falls back to the ground and as such, we cannot have h
>
4
.
Hence, domain for t is [
0
,
4
]
.
tbh google
It is important to go through details that are provided in the question. Based on those details the answer to the question can be easily deduced.
Let us assume the number of lions at the zoo = x
Number of male lions in the zoo = 2
Then
(1/6) * x = 2
x/6 = 2
x = 2 * 6
= 12
So there are a total of 12 lions in the zoo. I hope the procedure is clear enough for you to understand. Using this method, it will be possible for you to do similar problems in future without requiring any help from outside. Only be careful about the calculation part.
