Answer:
Following are the solution to the given equation:
Step-by-step explanation:
The graph file and correct question are defined in the attachment please find it.
According to the linear programming principle, we predict, that towards the intersections of the constraint points in the viability area, and its optimal solution exists. The sketch shows the points that are (0,16), (3,1), and (6,0).
by putting each point value into the objective function:
Thus, the objective of the function is reduced with a value of 183 at (3,1).
3.) f(x)=-2(x+1)^2+3
Domain: (- infinity, infinity)
Range:(-infinity,3]
Vertex: (-1,3)
Axis of symmetry: x=-1
Opens downward
4.) f(x)=9(x-2)^2-3
D:(-infinity, infinity)
R: [-3,infinity)
Vertex: (2,-3)
Axis: x=2
Opens upward
6.)
D:(-infinity, infinity)
R:(-infinity,0]
Vertex: (5,0)
Axis: x=5
Opens downward
The correct answer is A. 3 is in the ones place(3×1) 4 is in the tenths place(4×1/10) 0 is 0, and 5 is in the thousands place (5x1/1000)
Answer: Steak carrots cookie or corn dog cake slice and carrots
Step-by-step explanation: 342 + 42+253 = 637
212 + 513 +41 = 766
The elimination method works by adding the two equations and eliminating one variable. Then you solve an equation in one variable. Finally, you use substitution or elimination again to find the other variable. Sometimes, by simply adding the equations, a variable is not eliminated. Then you need to multiply one or both equations by a factor to get a variable to be eliminated.
A)
2x - 4y = 8
x + 3y = -11
Adding the equations does not eliminate x or y.
Notice that in the first equation, every coefficient is even. We can divide both sides of the first equation by 2. Then the first term would be x. Instead, let's divide both sides of the first equation by -2. Then the x's will be eliminated.
-x + 2y = -4 <-- The first equation divided by -2
x + 3y = -11 <-- The original second equation. Now we add the equations.
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5y = -15
y = -3
Now that we know y = -3, we substitute it into the first original equation and solve for x.
2x - 4y = 8
2x - 4(-3) = 8
2x + 12 = 8
2x = -4
x = -2
Answer: x = -2; y = -3
B)
We see that the x's will be eliminated by addition. Just add the equations.
-3x + 7y = 9
3x - 7y = 1
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0 + 0 = 10
0 = 10 <---- this is a false statement, so this system of equations has no solution.
