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What graph could be used to find the solution of the system of equations y equals 2x plus 6 and y equals x2 plus 4x plus 3?
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∙ 11y ago
A graph that has 1 parabolla that has a minimum and 1 positive line.
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∙ 11y ago
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The vertex of the parabola below is at the point 4 1 Which of the equations below could be this parabolas equation?
you didn't put any equations, but the answer probably begins with y= (x-4)^2+1
Why must all possible solutions for radical equations must be checked?
This is not true. Squaring any number gives only one solution. (-4)^2 will always be 16. It will never be anything else.Radical equations must be checked because squaring both sides can give you two completely different solutions. If you don't check it, you could end up with an incorrect answer. See this website for more information -See related links for more information.This is not true. Squaring any number gives only one solution. (-4)^2 will always be 16. It will never be anything else.
How do you rewrite y equals cscx to graph it?
You could try y = 1/sin(x) but I do not see how that helps.
What are the applications of impulsive differential equation in day today life?
If you happened to know impulsive differential equations and there was an outbreak of swine flu, bird flu, zombie bumblebees, etc., and there was a method to treat them (and you knew about it), then you *could* tell how likely it is that the treatment would be effective, and how long that would take. That could affect your stock portfolio, or whether or not you want to leave the house or answer the door because it's worth quarantining yourself away from disease... which could also just make you look like a crazy person because even if *you* can tell using impulsive differential equations that we're all doomed, your neighbors probably don't.
What are the pros and cons of using the substitution or elimination method in equations?
A pro for solving equations through graphing can allow one to visualize problems which can allow one to make better sense to the problem. However, fractions, and decimals can be very difficult to plot accurately. Furthermore, solutions could fall outside of the boundaries of a graph making them impossible to see with a graph. A pro for solving equations through either the methods of substitution and elimination allow one to achieve an exact answer regardless of fraction, decimal, or integer. However, by using these methods one will have a more difficult time with visualization without the use of a graph.
Does the solution to a system of three equations in three variables is always one point?
No. There could be no solution - no values for x, y, and z so that the 3 equations are true.
Which graph could be used to find the solution of the system of equations y equals 2x plus 6 and y equals x2 plus 4x plus 3?
One way would be to graph the two equations: the parabola y = x² + 4x + 3, and the straight line y = 2x + 6. The two points where the straight line intersects the parabola are the solutions. The 2 solution points are (1,8) and (-3,0)
What are equations with same solution called?
There is no special name. Two totally unrelated equations could have the same solution(s).
How could you show that two equations aren't equivalent?
One way would be to solve the two equations. If they have exactly the same solution set, they are equivalent. Otherwise they are not.
How many solutions does a system of equations have?
It depends on the equation. It could have one, it could have an infinite number.
What clues could help determine between equations and expressions?
An equation has the 'equals' sign ( = ) in it. An expression hasn't.
Why do some systems of equations have one solution?
If it is a linear system, then it could have either 1 solution, no solutions, or infinite solutions. To understand this, think of two lines (consider a plane which is just 2 dimensional - this represents 2 variables and 2 equations, but the idea can be extended to more dimensions).If the 2 lines intersect at a point, then that point represents a solution. If the lines are parallel, then they never intersect, and there is no solution. If the equations are such that they are just different ways of describing the same line, then they intersect at every point, so there are infinite solutions. If you have more than 2 lines then maybe some of them will intersect, but this is not a solution for the whole system. If all lines intersect at a single point, then that is the single solution for the whole system.If you have equations that describe something other than a straight line, then it's possible that they may intersect in more than one point.
Could variables other than x and y be used in a system of equations?
Yes
What it means to be a solution to a linear system algebraically?
A linear system just means it's a line. A solution is just a point that is on that line. It means that the two coordinates of the point solve the equation that makes the line. Alternatively, it could mean there are 2 (or more) lines and the point is where they intersect; meaning its coordinates solve both (or all) equations that make the lines.
Solve this system of equations using the addition methodx plus y equals 3?
Answer by Hilmarz for a very similar question: When talking about a "system of equations", you would normally expect to have two or more equations. It is quite common to have as many equations as you have variables, so in this case you should have two equations. Pricen2: given that there is no second equation with which to solve the original equation the values of x and y could be any of great number of values. If you knew the value of x then you would use y=3-x to find the value of y If you knew the vlaue of y then you would use x=3-y to find the value of x
The solution to an equation is n -5 the equation has parentheses on at least one side of the equation and has variables on both sides of the equation what could the equation be?
n-5 is an expression, it cannot be a solution. Furthermore, there are infinitely many possible equations for which n = 5 could be a solution - even with the added requirements of the question.
How do you solve 6x-3y equals -3 and 8x-4y equals -4 using the linear combination method?
Set up your equations as an addition, lining up like variables:6x - 3y = -38x - 4y = -4First we want to eliminate one of the variables. We do this by getting the scalar multiples for one of the variables to match in both equations.In this example, we can do this by simplifying both equations:Divide the top equation by 3, divide the bottom equation by 4:6/3x - 3/3y = -3/38/4x - 4/4y = -4/4~2x - y = -12x - y = -1Right now, you can already guess that something is wrong, but we will forge on ahead anyways:In order to get one of the variables eliminated, we have to multiply one of the equations by -1, or we can just simply subtract the equations instead of adding them:2x - y = -1+ -2x +y = 1)------------------0x +0y = 0Huh. Isn't that strange - when we eliminated one of the variables, we also eliminated the other variable. What we are left with is 0=0.What this means is that the two equations are linearly dependent, and they in fact overlap each other.HOWEVER, because we are left with 0=0, the system of equations is consistent, so there IS a solution, albeit the solution will be infinite.NOTE: if we had instead been left with a contradiction, such as 0 = 1, or 0=-1 or 0=4, we would say that the system is inconsistent and there is no solution. If you want to be technical, you would say that the solution is the empty set, which you can denote with ø or {}.Since the two lines overlap each other completely, there is in fact only one line in the system. Simply pick one of the equations and simplify. As we already showed above, both equations simplify to the same linear equation:2x - y = -1We may want to isolate one of the variables:2x = -1 + y~2x + 1 = ySo our solution is the line:y = 2x + 1Where x is free.You could also pick y to be your free variable, and write the solution as:x = -1/2 + 1/2y
