Provide an appropriate response.In factoring a trinomial in z as (z + a)(z + b), what must be true of a and b, if the coefficient of the last term of the trinomial is negative?

What will be an ideal response?


The numbers a and b must have different signs (one positive and one negative).

Mathematics

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Evaluate the integral.

A.  sec-1 x + C
B.  sin-1 x + C
C.  sin-1 x + C
D.  sec-1 x + C

Mathematics

A formula used by meteorologists to calculate the wind chill temperature (the temperature that you feel in still air that is the same as the actual temperature when the presence of wind is taken into consideration) is

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where t is the actual air temperature in °F and S is the wind speed in mph.
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What is the wind chill temperature when the actual air temperature is 52 °F and the wind speed is 30 mph? Please round the answer to the nearest °F
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T=__________ °F
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If the temperature is 52 °F, by how much approximately will the wind chill temperature change if the wind speed increases from 30 mph to 31 mph? Please round the answer to the nearest tenth.
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T=__________ °F

What will be an ideal response?

Mathematics

Find the zeros of the polynomial function and state the multiplicity of each.f(x) = (x2 - 1)2

A. 1, multiplicity 2 B. 1, multiplicity 2 ; -1, multiplicity 2 C. 1, multiplicity 4 ; -1, multiplicity 4 D. - 1, multiplicity 2

Mathematics

Consider only the discriminant, b2 - 4ac, to determine whether one real-number solution, two different real-number solutions, or two different imaginary-number solutions exist.6 + 6x2 = 8x

A. Two different real-number solutions B. One real solution C. Two different imaginary-number solutions

Mathematics