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Let u be an algebraic element of K (field extension of F) whose minimal polynomial in F[x] has prime degree. If E is a field such that F is contained in E is contained in F(u), show that E = F or E = F(u)
The Soccer Boosters club sells hotdogs and hamburgers at the games to raise funds for the soccer team. Chili Cheese Hotdogs sell for $3.00 and hamburgers sell for $2.50.
Solve the quadratic equations in problems
In general, what can you say about the usefulness of these area formulas? What other methods could be used to find the area and surface areas of objects?
Solve the equation
Exponential growth function.
They'll need to follow a path to get to the picnic spot. A map of the path is based on a scale of 1:30,000, in cm. If the path is 12 cm on the map how many kilometers is the actual path?
Find the gross income before taxes
What is meant by the x- and y-intercept in a linear equation? Find the x- and y- intercepts for the linear equation 3x - 4y =12. What are the points on a graph for the x- and y-intercepts?
Write the fractions below in terms of the LCM of the denominators.
Identify the vertex and the y-intercept of the graph of the function
The equation of the line L is parallel to y=5x. What is the equation for line L? If (a,-2) is a point on the graph of y=x^2+3x, what is a?
For the given equation, list the intercepts and test for symmetry. Find the slope-intercept equation of the line with the following properties
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