Answer:
{x | x∈ R, x < -2}
Step-by-step explanation:
Given
See attachment for graph
Required
Determine the inequality
From the attachment, we can see that there is an open circle or -2.
This represents either < or >
<u>Solving further:</u>
The arrow points to the left of -2.
This means that the number line represents numbers less than -2. i.e. < -2
If the numbers are represented with x.
The inequality is: x < -2
So, we have: {x | x∈ R, x < -2}
-4z is the answer I believe
Answer:
it's 47÷4=11 3/4 will be your final answer
Given: <span>9=(1/27)^(a+3)
[Note: Please review rules of PEMDAS.
The question posted as is means
</span><span>9=[(1/27)^a]+3 which is probably not what you mean. It has been interpreted with (a+3) as the exponent, please check.]
</span><span>
Need to find value of a that satisfies above.
We will first isolate a in order to solve for its value.
</span>9=(1/27)^(a+3)
Switch unknown to the left
(1/27)^(a+3) = 9
Since both 27 and 9 are powers of 3, we can take log to base 3.
take log (base 3) on both sides, applying rule of logarithm of exponents.
(a+3)log_3(1/27)=log_3(9)
(a+3)log_3(3^(-3))=log_3(3^2)
Apply definition of logarithm [log_a(a^k)=k]
(a+3)(-3)=2
(a+3)=-2/3
a=-3 2/3=-11/3
Check: (1/27)^(-11/3+3)=(1/27)^(-2/3)=(3^(-3))^(-2/3)=3^(-3(-2/3))=3^2=9 ok
Answer: a=-11/3 or a=-3.667 (approx.)
