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Virty [35]
3 years ago
7

Identify each function that has a remainder of -3 when divided x+6

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
5 0

Answer:

D

Step-by-step explanation:

According to remainder theorem, you can know the remainder of these polynomials if you plug in x = -6 into them.

<em>So we will plug in -6 into x of all the polynomials ( A through D) and see which one equals -3.</em>

<em />

<em>For A:</em>

x^5 + 2x^2 - 30x + 30\\=(-6)^5 + 2(-6)^2 - 30(-6) + 30\\=-7494

For B:

x^4 + 4x^3 - 21x^2 - 53x + 12\\=(-6)^4 + 4(-6)^3 - 21(-6)^2 - 53(-6) + 12\\=6

For C:

x^3 - 10x^2 - 7\\=(-6)^3 - 10(-6)^2 - 7\\=-583

For D:

x^4 + 6x^3 - 10x - 63\\=(-6)^4 + 6(-6)^3 - 10(-6) - 63\\=-3

The only function that has a remainder of -3 when divided by x + 6 is the fourth one, answer choice D.

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What is the value expression 8+24 divided by (2 times 6) - 4
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Answer:

6

Step-by-step explanation:

Given mixed operations there is a particular order that must be followed.

Using the order set out in the acronym PEMDAS

P - Parenthesis ( brackets ), E- Exponents ( powers ), M - Multiplication, D - Division, A- Addition, S - Subtraction

8 + 24 ÷ (2 × 6) - 4

= 8 + 24 ÷ 12 - 4 ← parenthesis

= 8 + 2 - 4 ← division

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3 years ago
A spherical balloon has a circumference of 25 cm.
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Answer:

See below ↓↓

Step-by-step explanation:

<u>Finding the radius</u>

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  • r = 3.98 cm ≅ 4 cm

<u />

<u>Surface Area</u>

  • 4πr²
  • 4 x 3.14 x 4 x 4
  • 3.14 x 64
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<u></u>

<u>Volume</u>

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  • 201 x 4/3
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answer:

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explanation to answer:

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Answer: The solution is k = -171.92.

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The answer is: B. x=+_14; c=6

Hope this helps, happy holidays!! :p


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