Answer: 
Step-by-step explanation:
You need to use the following Properties of Logarithms:
Given the following expression:
You can follow these steps in order to write it as a single logarightm:
- Apply the first property shown above:
- Apply the second property:
- Finally, apply the third property:
The given equation has no solution when K is any real number and k>12
We have given that
3x^2−4x+k=0
△=b^2−4ac=k^2−4(3)(12)=k^2−144.
<h3>What is the condition for a solution?</h3>
If Δ=0, it has 1 real solution,
Δ<0 it has no real solution,
Δ>0 it has 2 real solutions.
We get,
Δ=k^2−144 here Δ is not zero.
It is either >0 or <0
Δ<0 it has no real solution,
Therefore the given equation has no solution when K is any real number.
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Answer:
3/12 = 1/4
Step-by-step explanation:
There are 12 marbles in the bag. If the marble drawn at random is red, it is one of the 3 red marbles.
The probability is "3 out of 12" = 3/12 which simplifies to 1/4.
Answer:
Step-by-step explanation:
We are given the following in the question:
Volume of cylinder =
where B is the area of base and h is the height of cylinder.
Volume of cylinder =
Base area =
We have to find height of cylinder.
Thus, the height of cylinder is 
units.
No -- other factors will influence whether your happy or not. Saying that is true is inductive reasoning, which is prone to error
