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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.
What is a multi step equation that equals 13?
13
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.
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 do you construct five questions of equation in the variables and find the solution?
To construct five equations in variables, you first need to define the variables representing the unknowns in your problem. Then, create equations based on relationships or conditions involving these variables. For example, if you're dealing with a system of equations, you could formulate equations based on sums, products, or ratios. To find the solution, you can use methods such as substitution, elimination, or matrix operations to solve the system of equations and determine the values of the variables.
Why could a system of linear equations have two solutions?
A system of linear equations cannot have two distinct solutions if it is consistent and defined in a Euclidean space. If two linear equations intersect at a single point, they have one solution; if they are parallel, they have no solutions. However, if the equations are dependent, meaning one equation is a multiple of the other, they represent the same line and thus have infinitely many solutions, not just two. Therefore, in standard scenarios, a system of linear equations can either have one solution, no solutions, or infinitely many solutions, but not exactly two.
What equation that equal x 150?
An equation that equals 150 could be represented as ( x = 150 ). Alternatively, you could also write it as ( 2x = 300 ) or ( x + 50 = 200 ). Each of these equations has the solution ( x = 150 ).
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.
What clues could help determine between equations and expressions?
An equation has the 'equals' sign ( = ) in it. An expression hasn't.
How many solutions does a system of equations have?
It depends on the equation. It could have one, it could have an infinite number.
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
How do you solve this problem what equations have x 256 as the solution?
To solve the problem of finding equations that have ( x = 256 ) as a solution, you can start with a basic equation format like ( x = 256 ), which is a direct equation. Additionally, you can create equations such as ( x - 256 = 0 ) or ( 2x - 512 = 0 ). More complex equations could involve expressions like ( x^2 - 65536 = 0 ) or ( \sqrt{x} - 16 = 0 ), all of which will yield ( x = 256 ) as a solution.
