Ametallurgist is designing an experiment to determine the effect of flux, base metal, and energy input on the hardness of a weld. she wants to study four different fluxes, two different base metals, and three different amounts of energy input. if each run of the experiment involves a choice of one flux, one base metal, and one amount of energy input, how many different runs are possible?

24

Step-by-step explanation:

Given : A metallurgist wants to study four different fluxes, two different base metals, and three different amounts of energy input.

i.e. 4 different choices for fluxes.

2 different choices for base metals.

3 different choices for amounts of energy input.

If each run of the experiment involves a choice of one flux, one base metal, and one amount of energy input.

Then , the number of runs are possible :-

Hence, there are 24 different runs are possible .

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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step-by-step explanation: