Find all values of c such that the domain of the following function is the set of all real numbers
1 answer:
Answer:
Step-by-step explanation:
For the function to have a domain of all reals, the denominator cannot have a value of zero. x^2 + 2cx + 14 will not have zero as a root if it has no real solutions. A quadratic equation has no solutions when the discriminant is negative.
b^2 - 4ac < 0
(2c)^2 - 4(1)(14) < 0
4c^2 - 56 < 0
4c^2 < 56
c^2 < 14
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<h2>Hello!</h2>
The answer is:
The second option,
b.)
We are given the functions E(x) and K(x), since they both are function of the same variable, we need to add them in order to find the correct option.
From the statement we know the functions:
and
So, adding the functions we have:
Hence, the answer is the second option,
b.)
Have a nice day!
Answer:
Step-by-step explanation:
1. Approach
First, convert the dimensions of the room from feet to yards. Remember, the conversion rate between feet and yards is, . Next, find the area of the room by multiplying the length by the width.
2. Convert the unit of measurement
The measurement unit is given in feet, one must convert it into yards. The conversion rate between yards and feet is, .
3. Find the area of the room
Now multiply the length by the width to find the area of the room.