11. If f(x) = | x | + 5, then the graph of f shifted vertically 5 units down can be
represented by what equation ?
[A] F(x) = | x |
[B] F(x) = | x | - 5 [C] F(x) = 5| x | - 5
[D] F(x) = | x - 5 | [E] None of these
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Which approach to the theory-and-research cycle does the following sequence reflect: (1) specific observations suggest generalizations, (2) generalizations produce a tentative theory, (3) the theory is tested through the formation of hypotheses, and (4) hypotheses may provide suggestions for additional observations?

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α. part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part b suppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?

Otto used 6 cups of whole wheat flour and cause x cups of white flour in the recipe. what is the equation that can be used to find the value of y, the total amount of flour that otto used in his recipe and what are the constraints on the value of x and y? a y=6x; x is any interger greater than the equal to 0 and y is an interger greater than the equal to 6? b y=6x; is any real number greater than or equal to 0 and y is any real number greater than or equal to 6? c y=+6; x is any intger greater than or equal to 0 and y is an intger greater than or equal to 6? d y=x+6; x is any real number greater than 0 eqaul to 0 and y is any real number greater than or eqaul to 6? [someone answer this with a b c or d simplyactaully answer it this took forever to type on my phone] you. ill even raise the number of points get