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In one residence, cell phones, lap top computers and digital tvs are very popular among students. In fact, all of the students own atleast one of these items, although onlu 15 own all 3. Cell phones are the most popular with twice as many students owning cell phones as own lap tops. and digital tvs are still rare, since only half as many students own these as own laptops. As it happens all students who own a digital laptop also have a cellphone.
If there are 10 students who own both a cellphone and a digital tv, but not a laptop, and there are 20 students who don't own a cellphone, how many student live in the residence?
1. Determine the spans of the following pairs of vectors and describe it geometrically: (a) v1 = (1,-1,2), v2 = (2,-1,3) (b) w1 = (1,2,-1), w2 = (-5,-10,5)
Find the x- and y-intercepts of each graph(write your answers as points). Write the equation of the line through (3, -2) and (-1, 5) (slope-intercept form). Write the equation of the line parallel to 3x - 2y = 4 through (-2, 5).
ationalize the denominator and simplify. Assume that all variables represent positive real numbers.
grandmas bakery sells single-crust apple pies for 6.99 and double-crusts pies for 10.99. the total number of pies sold
you have 5000 to invest at your local bank. your bank offers you two different investment options. for the first option
Line passes through the point (5,1) and has a slope of 2 write an equation for this line. Find the equation for the line 1,-5 and -4,3
If you were to let A be a 6 x 14 matrix where the dimension of the row space is 3 (dim(R(A) = 3), what would the dimension of the null space of matrix A (dim(N(A)) be and what would the dimension of the null space of A^T (dim(N(A^T)) be?
Problem on profit and loss.
Solve the quadratic equations
Some people say that the Difference of Two Squares formula helps them to multiply large numbers without a calculator. How would you use this formula to multiply 201 by 199?
What is a row operation in matrices? What you do to transform it from the augmented matrix to the triangular form where you have a row of ones and 0's under and above the leading ones?
find out which of the four techniques (the Method of Addition, the Method of Substitution, Gauss-Jordan Elimination, and Cramer's Rule) is used in the majority of these types of software packages. Give your opinion why this technique is the one mo..
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