Answer:
2<x<6 should be the right answer
Step-by-step explanation:
the absolute value of x-4 + 4
x+4<2
Answer:
Option b is right.
Step-by-step explanation:
A function is given as

Limit is to be found out for x tends to infinity.
We find that numerator and denominator has the same degree.
HEnce a horizontal asymptote exists
COefficients of leading terms are 1 and 1 respectively
Asymtote would be y =1/11 = 1
Alternate method:
When x tends to infinity, 1/x tends to 0
by dividing both numerator and denominator by square of x.
Now take limit as 1/x tends to 0
we get
limit is y tends to 1/1 =1
Hence horizontal asymptote is y =1
Answer:
7/9
Step-by-step explanation:
Think of 1 as being 9/9. The difference between 9/9 and 2/9 is 7/9, which is the answer
There will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.
<h3>What is a circle?</h3>
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have a circle and a parabola:
As we know the standard form of a circle:

The standard form of the parabola:
If we plug the value of y from the parabola equation in the circle equation, we get a quartic equation(4th order equation)
The solution of the quartic equation will be 4.
Thus, there will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.
Learn more about circle here:
brainly.com/question/11833983
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Answer:
24 ft^3
Step-by-step explanation:
Cylinder:
Volume = (pi)r^2h
Cone:
Volume = (1/3)(pi)r^2h
When using r and h for both a cylinder and a cone, the only difference is the factor of 1/3 for the volume of the cone.
A cone with the same radius and height as a cylinder has 1/3 the volume of the cylinder.
volume of cylinder = 72 ft^3
volume of cone = (1/3) * 72 ft^3 = 24 ft^3