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claudia3776
25.06.2019 •
Mathematics
14. use the following equation 3x2 + 7x = 4.a) find the value of the discriminant.b) how many solutions will there be? c) find the root(s) (solve for x).
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Ответ:
(a) 2000 mL
(b) 70 mL, 30 mL
(c) No
Step-by-step explanation:
Given that Artesia is a 70% acid solution, and Borromeo is a 20% acid solution.
(a) Let x mL of Artesia is added to 500 mL of Borromeo to produce a 60% acid solution.
So, 70% of x + 20% of 500 = 60% of (x+500)
(b) Let x mL of Artesia and y mL be combined in order to form a 100 mL solution having 55% acid solution.
So, x+y=100\Rightarrow y= 100-x
And, 70% of x + 20% of y = 55% of (100)\\\\
and y= 100-x= 100-70=30 mL.
(c) Let x mL of Artesia and y mL of Borromeo be combined in order to make 80% acid solution.
And, 70% of x + 20% of y = 80% of (x+y)
As x and y are amount of Artesia and Borromeo, so x>0 and y>0
Ad the negative value of x/y is not so x/y=-6 is not possible, hence, any combination of Artesia and Borromeo that is 80% acid solution is not possible.