Answer:
Option D.
Step-by-step explanation:
Consider the below figure attached with this question.
From the below figure it is clear that the coordinates of given points are A(-4,0), B(2,-3) and C(-2,2).
Slope of line AB is
![m_{AB}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-3-0}{2-(-4)}=-\dfrac{1}{2}](https://tex.z-dn.net/?f=m_%7BAB%7D%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cdfrac%7B-3-0%7D%7B2-%28-4%29%7D%3D-%5Cdfrac%7B1%7D%7B2%7D)
The slope of two parallel lines are same.
So, the slope of required line is -1/2.
The point slope form of a line is
![(y-y_1)=m(x-x_1)](https://tex.z-dn.net/?f=%28y-y_1%29%3Dm%28x-x_1%29)
where, m is slope.
The equation of required line is
![(y-2)=-\dfrac{1}{2}(x-(-2))](https://tex.z-dn.net/?f=%28y-2%29%3D-%5Cdfrac%7B1%7D%7B2%7D%28x-%28-2%29%29)
![2(y-2)=-(x+2)](https://tex.z-dn.net/?f=2%28y-2%29%3D-%28x%2B2%29)
![2y-4=-x-2](https://tex.z-dn.net/?f=2y-4%3D-x-2)
![x+2y-2=0](https://tex.z-dn.net/?f=x%2B2y-2%3D0)
Substitute y=0 in the above equation to find the x-intercept of required line.
![x+2(0)-2=0](https://tex.z-dn.net/?f=x%2B2%280%29-2%3D0)
![x-2=0](https://tex.z-dn.net/?f=x-2%3D0)
![x=2](https://tex.z-dn.net/?f=x%3D2)
The x-intercept of required line is (2,0). Therefore, the correct option is D.
Thus, the values corresponding to the function and constraints will be:
Objective Function:
Constraints:
We begin by defining the variables. Let call:
X = of servings of dried apricots
Y= of servings of dried dates
For apricots, there are 3 servings in one pound. This means that the cost per serving is $9.99/3 = $3.33. The cost for X:
For dates, there are 4 servings per pound. This means that the cost per serving is $7.99/4=$2.00. The cost for Y:
The total cost would be:
Product must contain at least 4700mg of potassium
So now with the equations set it is possible to see that the desired values are between 9400 and 4700. Then using the critical points X=0, Y=0 for the two given equations. This will inform the points of interest for X and Y if this analysis is needed for the exercise.
Learn more: brainly.com/question/16173741
Answer:
i need more context-
Step-by-step explanation:
Answer:
5x + 15 = -5x - 15
10x = -30
x = -3
y = 5(-3) + 15 = -15 + 15 = 0
(-3,0)
Step-by-step explanation:
Answer:
![-x+4](https://tex.z-dn.net/?f=-x%2B4)
Step-by-step explanation: