Answer:
cubic polynomial
Step-by-step explanation:
Given polynomial is ![\[h(x)=-6x^{3}+2x-5\]](https://tex.z-dn.net/?f=%5C%5Bh%28x%29%3D-6x%5E%7B3%7D%2B2x-5%5C%5D)
A polynomial of degree 1 is a linear polynomial.
A polynomial of degree 2 is a quadratic polynomial.
A polynomial of degree 3 is a cubic polynomial.
In this case the exponent with the maximum value in the polynomial is 3.
Hence the degree of the polynomial h(x) is 3.
Hence the given polynomial is a cubic polynomial.
Answer: D
Step-by-step explanation: get the variable by itself on one side of the inequality sign.
Answer:
![y = -2x + 6](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%206)
Step-by-step explanation:
Given
![(x_1,y_1) = (1,4)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%281%2C4%29)
![(x_2,y_2) = (2,2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%282%2C2%29)
Required
Determine the line equation
First, we calculate the slope (m) using
![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
![m = \frac{2-4}{2-1}\\](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B2-4%7D%7B2-1%7D%5C%5C)
![m = \frac{-2}{1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-2%7D%7B1%7D)
![m = -2](https://tex.z-dn.net/?f=m%20%3D%20-2)
The equation is then calculated using:
![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29)
![y - 4 = -2(x - 1)](https://tex.z-dn.net/?f=y%20-%204%20%3D%20-2%28x%20-%201%29)
Open bracket
![y - 4 = -2x + 2](https://tex.z-dn.net/?f=y%20-%204%20%3D%20-2x%20%2B%202)
![y = -2x + 2 + 4](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%202%20%2B%204)
![y = -2x + 6](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%206)