I think it’s c and don’t try and open it
Answer:P=2(l+w)
Step-by-step explanation: its easy
Answer:
The correct option is C.
Step-by-step explanation:
The given function is
..... (1)
The point slope form of a linear function is
..... (2)
Where, m is slope and the graph passing through the point
.
From (1) and (2), we get
![m=\frac{4}{3},x_1=2,y_1=4](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B4%7D%7B3%7D%2Cx_1%3D2%2Cy_1%3D4)
It means the slope of the line is positive and the graph passing though the point (2,4).
Put x=0 in the given function, to find the y-intercept.
![y-4=\frac{4}{3}(0-2)](https://tex.z-dn.net/?f=y-4%3D%5Cfrac%7B4%7D%7B3%7D%280-2%29)
![y-4=\frac{-8}{3}](https://tex.z-dn.net/?f=y-4%3D%5Cfrac%7B-8%7D%7B3%7D)
![y=\frac{-8}{3}+4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-8%7D%7B3%7D%2B4)
![y=\frac{-8+12}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-8%2B12%7D%7B3%7D)
![y=1.333](https://tex.z-dn.net/?f=y%3D1.333)
The y-intercept is 1.333.
Put y=0 in the given function, to find the x-intercept.
![0-4=\frac{4}{3}(x-2)](https://tex.z-dn.net/?f=0-4%3D%5Cfrac%7B4%7D%7B3%7D%28x-2%29)
![-12=4x-8](https://tex.z-dn.net/?f=-12%3D4x-8)
![-4=4x](https://tex.z-dn.net/?f=-4%3D4x)
![x=-1](https://tex.z-dn.net/?f=x%3D-1)
The x-intercept is -1.
Therefore option C is correct.
Answer:
The quadratic function represented by the graph is
.
Step-by-step explanation:
Parabolae are defined by second order polynomials, that is, a polynomial of the form:
(1)
Where:
- Independent variable.
- Dependent variable.
- Coefficients.
By Algebra, we know can calculate the set of all coefficients based on the knowledge of three distinct points. According to the graph, we have the following points:
,
and
, and the resulting system of linear equations is:
(2)
(3)
(4)
The solution of the system of linear equations is:
![a = 1, b = -6, c = 8](https://tex.z-dn.net/?f=a%20%3D%201%2C%20b%20%3D%20-6%2C%20c%20%3D%208)
Hence, the quadratic function represented by the graph is
.