You have correctly found a=2, b=5, c=3.
You know a > 0, so the parabola will open up.
If the parabola opens up, the vertex is a minimum.
Use the formula for the axis of symmetry.
.. x = -b/(2a) = -5/(2*2) = -5/4
.. f(-5/4) = 2(-5/4)^2 +5(-5/4) +3 = -1/8
The vertex is (-5/4, -1/8).
Use the formula for the discriminant.
.. b^2 -4ac = 5^2 -4*2*3 = 25 -24 = 1
This is positive and a perfect square, so there are 2 real roots. They are (1) rational and unequal.
Use the quadratic formula to tell you the roots.
.. x = -b/(2a) ±(√discriminant)/(2a)
.. = -5/4 ±√1/(2*2)
.. = -5/4 ±1/4
.. = {-3/2, -1}
None of these are correct if you typed the problem right. The correct answer would be x=1 over 16
So given the values above, if 4 pounds costs $16, this would mean that per dollar or $1 is 0.25 pounds. And the equivalent of 0.25 pounds to ounces is 4. Therefore, the given rates above are equivalent. Hope this answers your question. Have a great day!
Answer:
Is 35.5
Step-by-step explanation:
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