Answer:
Option A.
Step-by-step explanation:
The given system of equations is
If a graph represents a system of equations which has two equation, then the intersection point of two curves is the solution of that system of equations.
It is given that, the graph of both lines intersect at (2, 3) on a coordinate plane.
Therefore, the solution of given system of equation is (2,3).
Hence, the correct option is A.
Answer:
![x+3\ge 2=\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:\:-1\:\\ \:\:\mathrm{Interval\:Notation:}&\:[-1,\:\infty \:\:)\end{bmatrix}](https://tex.z-dn.net/?f=x%2B3%5Cge%202%3D%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ax%5Cge%20%5C%3A%5C%3A-1%5C%3A%5C%5C%20%5C%3A%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%5B-1%2C%5C%3A%5Cinfty%20%5C%3A%5C%3A%29%5Cend%7Bbmatrix%7D)
Please check the attached graph.
Step-by-step explanation:
We know that 'greater than or equal' is represented as '≥'.
Thus, inequality ''x+3 greater than or equal to 2'' is represented as:
![x+3\ge 2](https://tex.z-dn.net/?f=x%2B3%5Cge%202)
<u><em>Solving inequality</em></u>
![x+3\ge 2](https://tex.z-dn.net/?f=x%2B3%5Cge%202)
subtract 3 from both sides
![x+3-3\ge \:2-3](https://tex.z-dn.net/?f=x%2B3-3%5Cge%20%5C%3A2-3)
simplify
![x\ge \:-1](https://tex.z-dn.net/?f=x%5Cge%20%5C%3A-1)
Thus,
![x+3\ge 2=\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:\:-1\:\\ \:\:\mathrm{Interval\:Notation:}&\:[-1,\:\infty \:\:)\end{bmatrix}](https://tex.z-dn.net/?f=x%2B3%5Cge%202%3D%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ax%5Cge%20%5C%3A%5C%3A-1%5C%3A%5C%5C%20%5C%3A%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%5B-1%2C%5C%3A%5Cinfty%20%5C%3A%5C%3A%29%5Cend%7Bbmatrix%7D)
Please check the attached graph.
By Cramer's rule, the solution can be found as the ratio of determinants. The numerator is the matrix with the right-side constants replacing the coefficients of the variable of interest. The denominator is the matrix of coefficients.
![x=\displaystyle\frac{det\left[\begin{array}{cc}-26&-6\\13&2\end{array}\right]}{det\left[\begin{array}{cc}-2&-6\\5&2\end{array}\right]}=\frac{(-26)(2)-(13)(-6)}{(-2)(2)-(5)(-6)}\\\\=\frac{26}{26}=1\\\\y=\frac{det\left[\begin{array}{cc}-2&-26\\5&13\end{array}\right]}{26}=\frac{(-2)(13)-(5)(-26)}{26}\\\\=\frac{104}{26}=4](https://tex.z-dn.net/?f=%20x%3D%5Cdisplaystyle%5Cfrac%7Bdet%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-26%26-6%5C%5C13%262%5Cend%7Barray%7D%5Cright%5D%7D%7Bdet%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-2%26-6%5C%5C5%262%5Cend%7Barray%7D%5Cright%5D%7D%3D%5Cfrac%7B%28-26%29%282%29-%2813%29%28-6%29%7D%7B%28-2%29%282%29-%285%29%28-6%29%7D%5C%5C%5C%5C%3D%5Cfrac%7B26%7D%7B26%7D%3D1%5C%5C%5C%5Cy%3D%5Cfrac%7Bdet%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-2%26-26%5C%5C5%2613%5Cend%7Barray%7D%5Cright%5D%7D%7B26%7D%3D%5Cfrac%7B%28-2%29%2813%29-%285%29%28-26%29%7D%7B26%7D%5C%5C%5C%5C%3D%5Cfrac%7B104%7D%7B26%7D%3D4%20)
The solution is ...
... B. (1, 4)
Answer: D do all of the above and you will get good grades
Step-by-step explanation:
Answer:
Below.
Step-by-step explanation:
0.1, 0.1003, 0.102, 0.11