Bonus: some old games had a "wrap around" effect. if you move past the right side of the screen you appear at the left side, and if you move past the top you appear at the bottom. we can model this in the following way. identify the screen with the the unit square [0, 1] x [0, 1] (rescale things to points of the form (a, 1) and points of the form (0, y) equal to points of the form (1, y) so the aspect ratio is 1: 1). now set points of the form (x, 0) equal (a) show that in this environment, it's possible to solve the utility puzzle without crossing any edges (b) show that it's possible to draw k3 in this environment without dividing it into two disconnected regions

find the vertical and horizontal asymptotes of the function f x = 5 x − 1 . to find the vertical asymptote, equate the denominator to zero and solve for . since the degree of the polynomial in the numerator is less than that of the denominator, the horizontal asymptote is .

step-by-step explanation:

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.

a.for lorena 14 hours makes $126   for 16 hours she makes 144

for julie 6 hours makes $72 for 21 hours its $252

b. julie makes more money than lorena julie makes $12 an hour and lorena makes $9  

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