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Reptile [31]
4 years ago
5

Camila had a large collection of basketball cards. She gave half of them to her friend Erin and a sixth of them to her brother.

She still has 150 cards left. How many cards did she start with ?
Mathematics
1 answer:
Nookie1986 [14]4 years ago
8 0
<span>450 Camila started with 450 cards. She gave Erin half of them (225) and her brother a sixth of them (75). She was left with 150 cards (450 - 225 - 75 = 150). If x = number of cards Camila started with, then x/2 = half the cards and x/6 = one sixth of the cards. 150 = number of cards left. This can be represented as: x - x/2 - x/6 = 150 Multiply by 6 and solve for x 6x - 3x -x = 900 2x = 900 x = 450 = number of cards Camila started with</span>
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Answer:

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Step-by-step explanation:

We need to recur to the extreme value theorem, which states: "If a function is continuous on a closed interval, then that function has a maximum and a minimum inside that interval".

Basically, as the theorem states, if a dunction is continuous, then it has maxium or minium.

In this case, we have a quadratic function, which is a parabola. An important characteristic of parabolas is that they have a maximum or a minium, but they don't have both. When the quadratic term of the fuction is positive, then it has a minium at its vertex. When the quadratic term of the function is negative, then it has a maximum at its vertex.

So, the given function is f(x)=x^{2} +4x^{2} -3x-18=5x^{2} -3x-18, where the quadratic term is positive, so the functions has a minimum at V(h,k), where h=-\frac{b}{2a} and k=f(h), let's find that point

<h3>h=-\frac{-3}{2(5)} =\frac{3}{10} =0.3</h3><h3>k=f(0.3)=5(0.3)^{2} -3(0.3)-18=0.45-0.9-18=-18.45</h3><h3 /><h3>Therefore, the minium of the function is at (0.3, -18.45).</h3>
8 0
3 years ago
hat is the volume of a cylinder with a radius of 1.5 inches and a height of 19 inches? Use 3.14 for pi. Round your answer to the
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Alekssandra [29.7K]
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Step-by-step explanation:

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Step-by-step explanation:

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