Given:
The exponential function is:
To find:
The domain of the given exponential function.
Solution:
We know that the general form of an exponential function is:
Where, a is the initial value and b is growth/decay factor.
This function is defined for all real values of x, so the domain of these type of functions is the set of all real number.
We have,
Here, a is 1 and b is 5.3. This function is defined for all real values of x
Therefore, the domain of these type of functions is the set of all real number or it can be written as .
the 7 becomes the base for a log
Answer: Let c represents the time spends in producing a cockpit and p represents the time spends in producing a propulsion system. Thus, According to the question, Machine A ran for 26 hours and produced 4 cockpits and 6 propulsion systems.⇒ 4 c + 6 p = 26And, Machine B ran for 56 hours and produced 8 cockpits and 12 propulsion systems,⇒ 8 c + 12 p = 56Hence, the system of equations that will be used to find a unique amount of time that it takes each machine to produce a cockpit and to produce a propulsion system is,4 c + 6 p = 26, 8 c + 12 p = 56But both lines are parallel,Hence there is no solution of this system,Therefore, we can not solve for a unique amount of time that it takes each machine to produce a cockpit and to produce a propulsion system.
If m∠1 = 60°, then m∠2 = 30°
because they are complementary because perpendicular lines form 90° (right) angles
90 - 60 = 30
Are..... larger than the two sides and.....is equal to √(a^2+b^2) !!