Answer: The answers for both (a) and (b) is YES.
Step-by-step explanation: A polynomial is an algebraic expression containing two or more algebraic terms, i.e., the sum of several terms that contain different powers of the same variable or variables with real coefficients.
For example, p(x) = 4x²+x+2 is a polynomial in variable 'x'.
(a) Yes, the sum of two polynomials is again a polynomial. For example,
if p(x) = ax² + bx + c and q(x) = dx² + ex + f, where, a, b, c, d, e and f are real numbers, then their sum will be
p(x) + q(x) = (a+d)x²+(b+e)x+(c+f), which is again a polynomial in 'x' with real coefficients.
(b) Yes, the difference of two polynomials is again a polynomial. For example,
p(x) - q(x) = (a-d)x²+(b-e)x+(c-f), which is again a polynomial in 'x' with real coefficients.
Thus, the answer is YES.
Answer:
.
Step-by-step explanation:
We have been given a geometric sequence 18,12,8,16/3,.. We are asked to find the common ratio of given geometric sequence.
We can find common ratio of geometric sequence by dividing any number by its previous number in the sequence.
![\text{Common ratio of geometric sequence}=\frac{a_2}{a_1}](https://tex.z-dn.net/?f=%5Ctext%7BCommon%20ratio%20of%20geometric%20sequence%7D%3D%5Cfrac%7Ba_2%7D%7Ba_1%7D)
Let us use two consecutive numbers of our sequence in above formula.
will be 12 and
will be 18 for our given sequence.
![\text{Common ratio of geometric sequence}=\frac{12}{18}](https://tex.z-dn.net/?f=%5Ctext%7BCommon%20ratio%20of%20geometric%20sequence%7D%3D%5Cfrac%7B12%7D%7B18%7D)
Dividing our numerator and denominator by 6 we will get,
![\text{Common ratio of geometric sequence}=\frac{2}{3}](https://tex.z-dn.net/?f=%5Ctext%7BCommon%20ratio%20of%20geometric%20sequence%7D%3D%5Cfrac%7B2%7D%7B3%7D)
Let us use numbers 8 and 16/3 in above formula.
![\text{Common ratio of geometric sequence}=\frac{\frac{16}{3}}{8}](https://tex.z-dn.net/?f=%5Ctext%7BCommon%20ratio%20of%20geometric%20sequence%7D%3D%5Cfrac%7B%5Cfrac%7B16%7D%7B3%7D%7D%7B8%7D)
![\text{Common ratio of geometric sequence}=\frac{16}{3*8}](https://tex.z-dn.net/?f=%5Ctext%7BCommon%20ratio%20of%20geometric%20sequence%7D%3D%5Cfrac%7B16%7D%7B3%2A8%7D)
![\text{Common ratio of geometric sequence}=\frac{2}{3}](https://tex.z-dn.net/?f=%5Ctext%7BCommon%20ratio%20of%20geometric%20sequence%7D%3D%5Cfrac%7B2%7D%7B3%7D)
Therefore, we get
as common ratio of our given geometric sequence.
Answer:
16π or around 50.26
Step-by-step explanation:
A=πr²
A=π(4)²
A=16π
A=16(3.1415926)
A=50.26
Answer:
Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height. plug in the numbers in the formula and get the answer for the formula