Answer:
Yes, f(x) = 
is a constant function.
Step-by-step explanation:
A function is defined to be a relation from 1 set of numbers to another set of numbers.
The main condition for a relation to be a function is that for every number in the domain there should be a <u>unique image</u>
Here the given function is f(x) =
This function is a constant function and gives the value 0.75 for all values of x.
Hence the graph would be a straight line parallel to the x-axis passing through y = 0.75.
Hence the f(x) = 0.75 is a function.
16x^2=9
x^2=9/18
x=sqrt(9/16)
x=3/4,-3/4
so the root of the quadratic equation are 3/4 and -3/4
Step-by-step explanation:
(cos 10° − sin 10°) / (cos 10° + sin 10°)
Rewrite 10° as 45° − 35°.
(cos(45° − 35°) − sin(45° − 35°)) / (cos(45° − 35°) + sin(45° − 35°))
Use angle difference formulas.
(cos 45° cos 35° + sin 45° sin 35° − sin 45° cos 35° + cos 45° sin 35°) / (cos 45° cos 35° + sin 45° sin 35° + sin 45° cos 35° − cos 45° sin 35°)
sin 45° = cos 45°, so dividing:
(cos 35° + sin 35° − cos 35° + sin 35°) / (cos 35° + sin 35° + cos 35° − sin 35°)
Combining like terms:
(2 sin 35°) / (2 cos 35°)
Dividing:
tan 35°
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
Answer:
sphere volume = 3052.1 in³
Step-by-step explanation:
sphere volume = 4/3πr³ = 4/3(3.14)(9³) = 3052.1 in³
