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Valentin [98]
3 years ago
5

Find the remainder when f(x) = x3 + 14x2 − 7x − 10 is divided by x − 3

Mathematics
2 answers:
loris [4]3 years ago
5 0

Answer:

-122

Step-by-step explanation:

f(3) = 3³ + 14(3)² - 7(3) - 10

    = 27 + 126 - 21 - 10

    = - 122 is the remainder

hoa [83]3 years ago
3 0

Answer:

remainder = 122

Step-by-step explanation:

Using the remainder theorem to evaluate the remainder

Division by x - 3 , thus evaluate f(3) for remainder

f(3) = 3³ + 14(3)² - 7(3) - 10

     = 27 + 126 - 21 - 10

     = 122 ← remainder

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Answer:

The remaining liquid has a volume of 345.4 cm³.

Step-by-step explanation:

To solve this question we first need to calculate the volume of each container.

Cylindrical:

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Cone:

Volume = (1/3)*h*pi*r² = (1/3)*20*3.14*(6)² = 753.6 cm³

Since the liquid from the cylinder was transfered to the cone until the latter was full, then what remains in the cylinder is it's original volume minus the cone volume. So we have:

remaining liquid = 1099 - 753.6 = 345.4 cm³

4 0
3 years ago
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Step-by-step explanation:

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7 0
2 years ago
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gulaghasi [49]
The one that is filled the less would be the garbage can because the truck would get filled even more.
4 0
3 years ago
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What’s bigger 10 to the -11 power or 10 to the -9 power ?
Stella [2.4K]

Answer:

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Step-by-step explanation:

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3 years ago
Can anyone help me on this
aliya0001 [1]

Answer:

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Step-by-step explanation:

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