For polynomials you need to remember that they have 2 things: terms and positive exponents.
1) is not polynomial because if you rewrite it the second term has a negative exponent ( -4x^-2)
2)is a polynomial
3) is a polynomial
4) is not a polynomial because if you convert the sqrt in a exponent you have a rational exponent (4x)^1/2
5) for standard form arrange the terms from the high to low degrees
X^11 -9x^7. +4x^5. -6
The degree is 11 the leading coefficient is 1
6) same idea as 5. The degree is 6 and leading coefficient is -2
7) degree 3 and has 3 terms
8) degree 2 and has 3 terms
Answer: it will move down.
Step-by-step explanation:
because of gravity.
Answer:
f(x) = x/4
Step-by-step explanation:
To find the inverse of a function replace the positions of x and y. Then isolate y.
y = 4x
x = 4y
x/4 = y
f(x) = x/4
Answer/Step-by-step explanation:
Given, ![b(x) = (\frac{6}{7})^{x}](https://tex.z-dn.net/?f=%20b%28x%29%20%3D%20%28%5Cfrac%7B6%7D%7B7%7D%29%5E%7Bx%7D%20)
The table for the function are:
When x = -2
![b(-2) = (\frac{6}{7})^{-2}](https://tex.z-dn.net/?f=%20b%28-2%29%20%3D%20%28%5Cfrac%7B6%7D%7B7%7D%29%5E%7B-2%7D%20)
![b(-2) = \frac{1}{(\frac{6}{7})^{2}}](https://tex.z-dn.net/?f=%20b%28-2%29%20%3D%20%5Cfrac%7B1%7D%7B%28%5Cfrac%7B6%7D%7B7%7D%29%5E%7B2%7D%7D%20)
![b(-2) = \frac{1}{(\frac{36}{49})}](https://tex.z-dn.net/?f=%20b%28-2%29%20%3D%20%5Cfrac%7B1%7D%7B%28%5Cfrac%7B36%7D%7B49%7D%29%7D%20)
![b(-2) = 1*\frac{49}{36}](https://tex.z-dn.net/?f=%20b%28-2%29%20%3D%201%2A%5Cfrac%7B49%7D%7B36%7D%20)
![b(-2) = \frac{49}{36}](https://tex.z-dn.net/?f=%20b%28-2%29%20%3D%20%5Cfrac%7B49%7D%7B36%7D%20)
When x = -1
![b(-1) = (\frac{6}{7})^{-1}](https://tex.z-dn.net/?f=%20b%28-1%29%20%3D%20%28%5Cfrac%7B6%7D%7B7%7D%29%5E%7B-1%7D%20)
![b(-1) = \frac{1}{(\frac{6}{7})}](https://tex.z-dn.net/?f=%20b%28-1%29%20%3D%20%5Cfrac%7B1%7D%7B%28%5Cfrac%7B6%7D%7B7%7D%29%7D%20)
![b(-1) = 1*\frac{7}{6}](https://tex.z-dn.net/?f=%20b%28-1%29%20%3D%201%2A%5Cfrac%7B7%7D%7B6%7D%20)
![b(-2) = \frac{7}{6}](https://tex.z-dn.net/?f=%20b%28-2%29%20%3D%20%5Cfrac%7B7%7D%7B6%7D%20)
When x = 0
![b(0) = (\frac{6}{7})^{0}](https://tex.z-dn.net/?f=%20b%280%29%20%3D%20%28%5Cfrac%7B6%7D%7B7%7D%29%5E%7B0%7D%20)
![b(0) = \frac{6^0}{7^0}](https://tex.z-dn.net/?f=%20b%280%29%20%3D%20%5Cfrac%7B6%5E0%7D%7B7%5E0%7D%20)
![b(0) = \frac{1}{1}](https://tex.z-dn.net/?f=%20b%280%29%20%3D%20%5Cfrac%7B1%7D%7B1%7D%20)
![b(0) = 1](https://tex.z-dn.net/?f=%20b%280%29%20%3D%201%20)
When x = 1
![b(1) = (\frac{6}{7})^{1}](https://tex.z-dn.net/?f=%20b%281%29%20%3D%20%28%5Cfrac%7B6%7D%7B7%7D%29%5E%7B1%7D%20)
![b(1) = \frac{6}{7}](https://tex.z-dn.net/?f=%20b%281%29%20%3D%20%5Cfrac%7B6%7D%7B7%7D%20)
When x = 2
![b(2) = (\frac{6}{7})^{2}](https://tex.z-dn.net/?f=%20b%282%29%20%3D%20%28%5Cfrac%7B6%7D%7B7%7D%29%5E%7B2%7D%20)
![b(2) = \frac{6^2}{7^2}](https://tex.z-dn.net/?f=%20b%282%29%20%3D%20%5Cfrac%7B6%5E2%7D%7B7%5E2%7D%20)
![b(2) = \frac{36}{49}](https://tex.z-dn.net/?f=%20b%282%29%20%3D%20%5Cfrac%7B36%7D%7B49%7D%20)