Solve.The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. If a 11-kg object stretches a spring 85 cm, find the distance when the weight is 21-kg. Round your answer to the nearest whole centimeter.

A. 3 cm
B. 162 cm
C. 8 cm
D. 117 cm


Answer: B

Mathematics

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Find the inverse of the function.f(x) = , x ? 7

A. f-1(x) = x2 - 7, x ? 0 B. f-1(x) = x + 7, x ? 0 C. Not a one-to-one function  D. f-1(x) = x2 + 7, x ? 0

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Write the whole number in standard form.Ten million, three hundred fifty-four thousand, two hundred three

A. 1,354,203 B. 135,423 C. 10,354,203 D. 1,354,230

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Provide an appropriate response.To graph  on a graphics calculator, we must consider the union of the graphs of the two functions.  and . Using the graph of , explain (a) how the solution set of  can be determined

graphically and (b) how it relates to the domain of the hyperbola.

What will be an ideal response?

Mathematics

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept.f(x) = x2(x2 - 5)(x + 7)

A. 0, multiplicity 2, crosses x-axis;
-7, multiplicity 1, touches x-axis;
, multiplicity 1, touches x-axis;
-, multiplicity 1, touches x-axis
B. 0, multiplicity 2, crosses x-axis;
-7, multiplicity 1, touches x-axis
C. 0, multiplicity 2, touches x-axis;
-7, multiplicity 1, crosses x-axis;
, multiplicity 1, crosses x-axis;
-, multiplicity 1, crosses x-axis
D. 0, multiplicity 2, touches x-axis;
-7, multiplicity 1, crosses x-axis

Mathematics