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2 years ago

Which number is least 145. 155 or 144.809

Mathematics

2 answers:

alexdok [17]2 years ago

8 0

Do you mean 145.155 as the first number and 144.809 as the second? If so... the least would be 144.809.

Ignore the decimal... 145 is bigger than 144. The decimal would come into play only when the whole number is equal. For example:

144.234 or 144.334 -- which one is least? Now you'd look at the decimals to determine 144.234 is less than 144.334.

GREYUIT [131]2 years ago

7 0

145.555 is the least

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Part 2; The zeros for the equation of the function, are w = -14, or w = 8

Part 3

The width of the box is 8 inch

The length of the box, is 14 inches

The height of the box, is given as 2 inches

Part 4

Please find attached the graph of the function

Step-by-step explanation:

Part 1

The volume of the box Thomas wants to make, V = 224 in.³

The dimensions he cuts out from the length and width = 2 in² each

The length of the box = 6 inches + The width of the box

Let l represent the length of the box and let w represent the width of the box, we have;

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The equation of the volume of the box, V = 2·w² + 12·w, where, V = 224

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Part 2

The zeros of the equation for the volume of the box, V = 2·w² + 12·w, where, V = 224 are found as follows;

V = 224 = 2·w² + 12·w

∴ 2·w² + 12·w - 224 = 0

Dividing by 2 gives;

(2·w² + 12·w - 224)/2 = w² + 6·w - 112 = 0

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The zeros for the equation of the function, are w = -14, or w = 8

Part 3

We reject the value, w = -14, therefore, the width of the box, w = 8 inch

The length of the box, l = 6 + w

∴ l = 6 + 8 = 14

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Part 4

The graph of the function created with MS Excel is attached

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