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To find the x-intercepts of the function ( y = 2x^2 - 8x + 5 ), we set ( y ) to zero and solve the equation ( 2x^2 - 8x + 5 = 0 ). Using the quadratic formula ( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} ), where ( a = 2 ), ( b = -8 ), and ( c = 5 ), we can determine the number of x-intercepts. The discriminant ( b^2 - 4ac = (-8)^2 - 4(2)(5) = 64 - 40 = 24 ) is positive, indicating that there are two distinct x-intercepts. Thus, the function has 2 x-intercepts.
What else can I help you with?
What is an irrational number that would be graphed between 11 and 12 on a number line?
There are infinite numbers match to this description. For example: 11,111111.......(and so on), 11,22222..., 11,55555555....., 11,99999999... and many more I can't write here.
Can anybody answer this hard question Function of x bracket 1 if X is a rational number or 0 if X is an Irrational number?
f(x) = 1 if x is rational f(x) = 0 if x is irrational But there is no specific question about this function. It is a well defined function whose domain is the real numbers and whose codomain consists of the two values, 0 and 1. It is a function with infinitely many discontinuities, and an integral which is 0.
How to define a user defined function in SQL?
Not possible in SQL, but possible in many vendor-specific SQL-based languages like Oracle PL/SQL.
How many out of 100 students brought their lunches to school if it was 6.3 percent of these students?
There can be no possible answer since it would require a fraction of a person to bring lunch. Fractions of people do not function in the world in which we live.
How many numbers are there between 1 and 21600 where the only common factor of that number and 21600 is 1?
This is exactly φ(21600) where φ is the Euler totient function. φ(21600) = 5760 That is, there are 5760 such numbers between 1 and 21600.
When the function below is graphed how many x-intercepts does it have?
If the problem is 2x^2+11x+12, then it has 2 x-intercepts. (Correct On Apex)
how many roots does the graphed polynomial function have?
here is the graph
How many x-intercepts can a function defined on an interval have if it is increasing on that interval?
One.
How many y intercepts does a sine function have?
One intercept of the y-axis and infinitely many of the x-axis.
How many x-intercepts can a cubic function have?
you can have either one or three x-intercepts, but now 2. because two real roots means 1 imaginary root which is not possible since imaginary roots come in pairs (2,4,6,8...)
How many x-intercepts does a quartic polynomial function having 4 distinct real roots have?
Each distinct real root is an x-intercept. So the answer is 4.
How many solutions does the nonlinear system of equations graphed when the graph open up and down?
A system of equations means that there are more than one equations. The answer depends on the exact function(s).
How do you find how many x intercepts the parabola has using the discriminant?
If the discriminant is negative, there are 0 interceptsIf the discriminant is zero, there is 1 interceptIf the discriminant is positive, there are 2 intercepts
How aerospace engineers use the quadratic equation?
The quadratic equation is used to find the intercepts of a function (F(x)=x^(2*n), n being an even number) along its primary axis (typically the x axis). Many equations follow this form. The information given by the quadratic equation depends on what your function is pertaining to. If say you have a velocity vs time graph, when the function crosses the xaxis your particle has changed from a positive velocity to a negative velocity. This information can be useful to determine the accompanying behavior of your position. The quadratic equation is simply a tool to find intercepts of a function.
What websites graph X and Y intercepts for you?
Several websites can help you graph X and Y intercepts, including Desmos, GeoGebra, and Wolfram Alpha. These platforms allow users to input equations and visualize their graphs, highlighting intercepts and other key features. Additionally, many online graphing calculators provide interactive tools for exploring various functions and their intercepts.
How can I generate a declining function with constraints on the x and y intercepts so that the integral of the curve is constant?
The integral of a given function between given integration limits will always be a constant. The integral of a given function between variable limits - for example, from 0 to x - can only be a constant if the function is equal to zero everywhere.
The two lines graphed below are parallel How many solutions are there to the system of equations?
Although there is no graph, the number of solutions is 0.
