Equations can have one solution, more than one solution or none at all.
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The equation is given as:
Represent the blank with y.
So, we have:
<u>(a) The missing value when the equation is an identity equation</u>
To do this, we simply solve for y in
Open brackets
Collect like terms
Divide both sides by 2
Hence, the equation is an identity when the missing value is 8
<u>(b) The missing value when the equation has one solution</u>
In (a), we have:
For the equation to have one solution, variable x must be on either sides of the equation.
i.e. or
, where
Since x has been eliminated, then the equation can not have one solution.
<u>(c) The missing value when the equation has no solution</u>
In (a), we have:
This means that the equation will have no solution when the missing value is not 8
i.e.
Read more about equations at:
Given:
The function is
To find:
The zeros of the given function.
Solution:
The general form of polynomial is
...(i)
where, a is a constant, are zeros of respective multiplicities
.
We have,
On comparing this with (i), we get
It means, -3 is a zero with multiplicity 2 and 5 is a zero with multiplicity 6.
Therefore, the correct option is B.
Solution :
Mean time for an automobile to run a 5000 mile check and service = 1.4 hours
Standard deviation = 0.7 hours
Maximum average service time = 1.6 hours for one automobile
The z - score for 1.6 hours =
= 2.02
Now checking a normal curve table the percentage of z score over 2.02 is 0.0217
Therefore the overtime that will have to be worked on only 0.217 or 2.017% of all days.