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Art [367]
3 years ago
9

Please help!

Mathematics
1 answer:
laila [671]3 years ago
6 0
Because
\frac{f(x)}{x-3} = 2x^{2} + 10x - 1
therefore
f(x) = (x-3)(2x² + 10x - 1) + k, where k =  constant.

Because f(3) = 4, therefore k =4.
The polynomial is
f(x) = 2x³ + 10x² - x - 6x² - 30x + 3 + 4
      = 2x³ + 4x² - 31x + 7

Answer:  f(x) = 2x³ + 4x² - 31x + 7

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7

Step-by-step explanation:

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A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches. The b
givi [52]

The mass of brick is 2478 gram

<em><u>Solution:</u></em>

A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches

Length = 8 inches

Width = 3.5 inches

Height = 2 inches

<em><u>The volume of rectangular prism is given as:</u></em>

volume = length \times width \times height

volume = 8 \times 3.5 \times 2\\\\volume = 56

Thus volume of brick is 56 cubic inches

<em><u>Convert inches to centimeter</u></em>

1 inch = 2.54 centimeter

Therefore,

56 cubic inches = 56 x 2.54 x 2.54 x 2.54 cubic centimeter

56 cubic inches = 917.676 cubic centimeter

Thus, we get,

volume = 917.676 cubic centimeter

The brick has a density of  2.7 grams per cubic centimeter

Density = 2.7 grams

<em><u>The mass of brick is given by formula:</u></em>

mass = density \times volume

<em><u>Substituting the values we get,</u></em>

mass = 2.7 \times 917.676\\\\mass = 2477.724 \approx 2478

Thus mass of brick is 2478 gram

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A + (b + c) = (A + b) + c<br><br><br> What property is this equation
Free_Kalibri [48]

Answer:

Step-by-step explanation:

Associative property

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Step-by-step explanation:

30/20 in half is 15/10

also between 12/8 and 18/12 is 15/10

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