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3 years ago

6

Suppose the shipping company were packing balls with a diameter of 2 inches instead of cubes. Would the large box hold more ball

s or fewer balls than boxes? Explain your answer.
________________________________________________________________________________________

1 answer:

Roman55 [17]3 years ago

8 0

Answer:

More

Step-by-step explanation:

Because the absence of corners allows more space for more balls

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Answer:

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Part b) The value of x is $1.5\ in$

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Step-by-step explanation:

Part a) Write a quadratic function to find the distance from the edge of the photo to the edge of the frame

Let

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we know that

$(6+2x)(4+2x)=63\\24+12x+8x+4x^{2}=63\\ 4x^{2} +20x+24-63=0\\4x^{2} +20x-39=0$

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The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

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$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem

we have

$4x^{2} +20x-39=0$

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substitute in the formula

$x=\frac{-20(+/-)\sqrt{20^{2}-4(4)(-39)}} {2(4)}$

$x=\frac{-20(+/-)\sqrt{1,024}} {8}$

$x=\frac{-20(+/-)32} {8}$

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Part c) How wide are the photo and frame together?

$(4+2x)=4+2(1.5)=7\ in$

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