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trasher [3.6K]
3 years ago
8

Steve needs to take at least 24 milligrams of calcium, 15 milligrams of iron, and 16 milligrams of vitamins. Which ordered pairs

of values are solutions for the given system inequalities, where x represents the number of spoonfuls of brand A that Steve takes and y represents the number of spoonfuls of brand B that Steve takes? Select all the correct answers.
(1,4)

(1,5)

(2,3)

(3,2)

(4,1)
Mathematics
1 answer:
Andru [333]3 years ago
3 0
Before answering that question need to know how much iron , vitamincs. etc are in brand A &B
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Answer:

a) The discriminant of the equation =  - 44

b)The nature of the roots will be imaginary.

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Step-by-step explanation:

Here, the given expression is 15x^{2}  = 4x -1

or, 15x^{2}  -  4x + 1   = 0

Now the discriminant (D) of a quadratic equation ax^{2}  +b x + c   = 0

D = b^{2}   -  4ac  = (-4)^{2}  -  4(15) (1)  = 16 - (60) = -44

Hence, the discriminant of the equation =  - 44

As D< 0, so the roots will be imaginary.

Now,by quadratic formula : x = \frac{-b \pm \sqrt{b^{2}  - 4ac} }{2a}

So, here x = \frac{-(-4) \pm \sqrt{D} }{2a}  = \frac{4 \pm \sqrt{(-44 )} }{30}

So, either x = \frac{4 + \sqrt{(-44 )} }{30} or, x =  \frac{4 - \sqrt{(-44 )} }{30}

or, x = \frac{2 +\sqrt{11} i}{15}  or, x = \frac{2 - \sqrt{11} i}{15}

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Step-by-step explanation:

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