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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.
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.
How many x intercepts does the graph of y equals x2 have?
One. It is a double root.
If two lines have different slopes and different y intercepts how many points of intersection are there?
If two lines have different slopes, then they intersect at exactly one point. It makes no difference what their y-intercepts are.
