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Explain what the index of a subgroup and a coset of a group are. Also, prove that if N is a subgroup of a group G such that [G: N] = 2, and if "a" and "b" are elements of G, then the product "ab" is an element of N if and only if either (1) both "a" and "b" are elements of N or (2) neither "a" nor "b" is an element of N.
Write the ordered pairs for each coordinate. Use the scale factor to determine the coordinates of the transformed figure. Write the ordered pairs using arrow notation and graph the dilated Image.
Solve the problem on time, work & distance
Solve using the elimination method. 4x + 5y = -47x - 5y = -62
Explain the difference between solving a system of equations by the algebraic method and the graphical method to a sixth grader?
Using the Library, web resources, and/or other materials, find the logarithmic formula that gives the pH of a substance. State what each variable in your equation represents.
Determine the value of x using the properties of logarithms.
find the solution of the equations
explain how Depth-First Search and Breadth First Search method works, how they are similar, and how they are different.
Solve the given algebraic equation.
Algebra equation
let f be a multivariable function defined by fx y x3y - x2y2 where x and y are real numbers. choose the same point to
Draw the line AB that passes through these points - what is the value of the slope and what is the value of the x-intercept?
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