Answer:
Step-by-step explanation:
The given expression is 
.
We have to check which of he given options on simplification gives the same given expression.
(A) The expression is:
=
=
which is not equivalent to the given expression, thus this option is incorrect.
(B) The expression is:
=
=
which is not equivalent to the given expression, thus this option is incorrect.
(C) The expression is:
=
=
which is not equivalent to the given expression, thus this option is incorrect.
(D) The expression is:
=
=
which is equivalent to the given expression, thus this option is correct.
(E) The expression is:
=
==
which is equivalent to the given expression, thus this option is correct.
(F) The expression is:
=
which is not equivalent to the given expression, thus this option is incorrect.
Remove the radical by raising each side to the index of the radical. a = √ 3 , − √ 3 a=3,-3 a ≈ 1.73205080 , − 1.73205080
Answer:
The null hypothesis is 
.
The alternate hypothesis is 
Step-by-step explanation:
Null hypothesis:
The previously report, the known value.
Alternate hypothesis:
What is questioned(higher, lower, different,...) of the null hypothesis
Previously, an organization reported that teenagers spent an average of 4.3 hours per week, on average, on the phone.
This means that the null hypothesis is .
The organization thinks that, currently, the mean is higher.
That is, higher than 4.3. So
The alternate hypothesis is
Solution:
The given equation is:
A: Taking , x=1
L H S = 9 × 1 + 49 = 9 + 49= 58
R H S : 
L H S ≠ R H S
B: Taking x=3
L H S = 9 × 3 + 49=27 + 49=76
R HS = 
L H S ≠ R H S
C: Taking x=5
L H S = 9 × 5 + 49
= 45 + 49
= 94
R H S:
L H S ≠ R H S
(D)
when , x= 8
L H S
9 × 8 + 49
= 72 + 49
= 121
R HS:
L H S ≠ R H S
