The given inequality is:

This inequality can be divided in two parts as:
a)

b)

Solving part a:

Solving part b:

Therefore, the solution to the given inequality is

and

. Combining both the ranges we get the solution:

.
In interval notation, this solution can be expressed as [1,5]
1/27
1/27
125
Step-by-step explanation:
Given that,
a - b = 3
9^(1/2b) /3^a = 3^(2/2b) /3^a
= 3^b/3^a
= 3^(b-a)
= 3^(-3)
= 27^(-1)
= 1/27
27^(1/3b) /9^(1/2a) = 3^(3/3b) /3^(2/2a)
= 3^b/3^a
= 3^(b-a)
= 3^(-3)
= 27^(-1)
= 1/27
125^(1/3a) /25^(1/2b) = 5^(3/3a) /5^(2/2b)
= 5^a/5^b
= 5^(a- b)
= 5^3
= 125
THe area of the whole circle is pi r^2 = 6^2 * pi = 36pi
There are 360 degrees in a crcle so this sectors area i (30/360) *36pi
= 3 pi
Answer:
The solutions of the system of equations are the points
Step-by-step explanation:
we have
----> equation A
----> equation B
Solve the system by substitution
substitute equation B in equation A

solve for x


The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
----->
----->
<em>Find the values of y</em>
For
---->
For
---->
therefore
The solutions of the system of equations are the points
Answer:
−7
Step-by-step explanation: