The Golden Gate, located in San Francisco, California, is the tallest bridge in the world, with its tower extending 746 feet above the water and the floor of the bridge extending 220 feet above water. Notice that the supporting cables of the Golden Gate Bridge approximate the shape of a parabola. This parabola can be modeled by the quadratic function y = 0.00012x2 + 6, where x represents the distance form the axis of symmetry and y represents the height of the cables. The related quadratic equation is 0.00012x2 + 6 = 0. Calculate the value of the discriminant

Question

Valentin

Mathematics

20 September, 13:17

The Golden Gate, located in San Francisco, California, is the tallest bridge in the world, with its tower extending 746 feet above the water and the floor of the bridge extending 220 feet above water. Notice that the supporting cables of the Golden Gate Bridge approximate the shape of a parabola. This parabola can be modeled by the quadratic function y = 0.00012x2 + 6, where x represents the distance form the axis of symmetry and y represents the height of the cables. The related quadratic equation is 0.00012x2 + 6 = 0. Calculate the value of the discriminant

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Answers (2)

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Craig Velez · Answer 1

The choices possible are:

a. - 0.00056

b. - 0.00288

c. - 0.00126

d. - 0.00078

The discriminant formula for a quadratic function is: a x^2 + bx+c, b^2 - 4ac, where a=0.00012, b=0, and c = 6

Substituting these values and solving the given discriminant formula, the value of the discriminant is therefore B. - 0.00288.

Taryn Kirby · Answer 2

The general form of a quadratic function is:

ax^2+bx+c,

and the discriminant formula is expressed as:

b^2-4ac,

where for this equation the values of the coefficients are:

a=0.00012, b=0, and c = 6

Substituting these values to the discriminant formula will yield to a value of - 0.00288.