From the tables, and definitions of functions, it is found that the function (f - g)(x) is positive in the interval (–∞, –2).
--------------------
- The function (f - g)(x) is given by:
- Thus, it will be positive if:
- Looking at the table, and considering that it is a linear function, we have that f(x) > g(x) if x < -2.
- Thus, (f - g)(x) is positive in the interval (–∞, –2).
A similar problem is given at brainly.com/question/24388889
Answer:
Step-by-step explanation:
Solutions, zeros, and roots of a polynomial are all the same exact thing and can be used interchangeably. When you factor a polynomial, you solve for x which are the solutions of the polynomial. Since, when you factor a polynomial, you do so by setting the polynomial equal to 0, by definition of x-intercept, you are finding the zeros (don't forget that x-intercepts exist where y is equal to 0). There's the correlation between zeros and solutions.
Since factoring and distributing "undo" each other (or are opposites), if you factor to find the zeros, you can distribute them back out to get back to the polynomial you started with. Each zero or solution is the x value when y = 0. For example, if a solution to a polynomial is x = 3, since that is a zero of the polynomial, we can set that statement equal to 0: x - 3 = 0. What we have then is a binomial factor of the polynomial in the form (x - 3). These binomial factors found from the solutions/zeros of the polynomial FOIL out to give you back the polynomial equation.
Answer:
pp
Step-by-step explanation:
You do what I’d 9-3 , 8-0 , then combined it and you will get the right answer
In Cartesian coordinates, the region (call it 
) is the set
In the plane 
, we have
which is a circle with radius 
. Then we can better describe the solid by
so that the volume is
While doable, it's easier to compute the volume in cylindrical coordinates.
Then we can describe in cylindrical coordinates by
so that the volume is
