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Does the graph of a system of equations with different slopes have no solutions?
The graph of a system of equations with the same slope will have no solution, unless they have the same y intercept, which would give them infinitely many solutions. Different slopes means that there is one solution.
How does changing the signs of the coefficients affect the graph of a polynomial?
For a polynomial of order n there are n+1 coefficients that can be changed. There are therefore 2^(n+1) related polynomials with coefficients of the same absolute values. All these generate graphs whose shapes differ.If only the constant coefficient is switched, the graph does not change shape but moves vertically. If every coefficient is switched then the graph is reflected in the horizontal axis. For all other sign changes, there are intermediate changes in the shape of the graph.
What equation is whose graph is parallel to the graph of y0.5x-10?
If you mean: y = 0.5x-10 then an equation parallel to it will have the same slope of 0.5 but a y intercept different to -10
How can a table be more informative than the graph with the same data?
A graph can be more useful for making presentations because it is more visual, and it can be easier to recognize a pattern in a graph for the same reason. However, a graph doesn't have any more data than a table with the same data.
The graph of a system of equations with the same slope and the same y intercepts will have no solution?
The statement - The graph of a system of equations with the same slope and the same y intercepts will have no solution is True
Is it true or false that Polynomials with the same graph can have different roots.?
True. Polynomials can have the same graph if they differ only by a constant factor. For example, the polynomials ( f(x) = x^2 - 1 ) and ( g(x) = 2(x^2 - 1) ) have the same graph, but their roots are the same. However, different polynomials can share the same graph at certain intervals or under specific transformations, leading to the possibility of having different roots.
Polynomials with the same roots always have the same graphs?
false
When adding polynomials what do you do to the exponents?
You keep them the same if they have different bases
Polynomials have factors that are?
Other polynomials of the same, or lower, order.
Can Polynomials with the same roots can have different graphs.?
If you only look at the value of the roots and not their multiplicity then the answer is yes.The straight line y = x - 1 and the parabola y = (x - 1)^2 have the same root: x = 1. But the graphs are obviously different. All polynomials of the form y = (x - 1)^n will have x = 1 as the only root but they will have different shapes. The reason to this is that in the case of the straight line it is a root of multiplicity 1, in the case of a parabola it is a root of multiplicity 2 and in the case of y = (x - 1)^n it is a root of multiplicity n.
Is binomial and polynomials the same?
No.
How are adding and multiplying polynomials different from each other?
Adding polynomials involves combining like terms by summing their coefficients, resulting in a polynomial of the same degree. In contrast, multiplying polynomials requires applying the distributive property (or FOIL for binomials), which results in a polynomial whose degree is the sum of the degrees of the multiplied polynomials. Essentially, addition preserves the degree of the polynomials, while multiplication can increase it.
What is the difference between a pie graph and a circular graph?
theres nothing different because it is the same
What is the homonym of routes?
The homonym of "routes" is "roots." They sound the same but have different meanings.
What is it called when A set of equations that have the same variable?
Polynomials
What are the rules in addition of polynomials?
Add together the coefficients of "like" terms. Like terms are those that have the same powers of the variables in the polynomials.
Are a line graph and bar graph the same?
No, a line graph and a bar graph are not the same. A line graph is used to show trends or changes over time by connecting data points with lines, while a bar graph uses bars of different lengths to represent different categories or values. Line graphs are ideal for displaying continuous data, while bar graphs are better suited for comparing discrete categories.
