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alekssr [168]
3 years ago
14

Consider the function f(x)=x3+6x2−20x+450.

Mathematics
1 answer:
Damm [24]3 years ago
6 0

Answer:

Therefore reminder = 2802

Step-by-step explanation:

f(x)=x³+6x²-20x+450

x-12)x³+6x²-20x+450(x²+18x+196

      x³-12x²

    ____________________

          +18x²-20x+450

           18x²-216x

          _______________

                  196x +450

                  196x-2352

                 _____________

                            2802

Therefore reminder = 2802

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6 0
3 years ago
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A die was rolled eight times. The rolls were 2, 2, 3, 4, 4, 5, 6, and 6. What is the mean absolute deviation for this data? A) 1
adoni [48]

Answer:

The correct option is A:

MAD = 1 + 1/4

Step-by-step explanation:

For a set of N elements {x₁, x₂, ..., xₙ}

The mean is calculated as:

M = \frac{x_1 + x_2 + ... + x_n}{N}

And the mean absolute deviation is calculated as:

MAD = \frac{Ix_1 - MI + Ix_2 - MI + ...+ IX_n - MI}{N}

Here we have the set of 8 elements:

{ 2, 2, 3, 4, 4, 5, 6, 6}

The mean of this set is:

M = (2 + 2 + 3 + 4 + 4 + 5 + 6 + 6)/8 = 4

Then the mean standard deviation is:

MAD = \frac{I2 - 4I + I2 - 4I + I3 - 4I + I4 - 4I + I4 - 4I + I5 - 4I + I6 - 4I + I6 - 4I}{8} = 10/8

If we simplify this, we get:

MAD = 10/8 = 5/4  = (4 + 1)/4 = 4/4 + 1/4 = 1 + 1/4

MAD = 1 + 1/4

The correct option is A.

6 0
3 years ago
In 2005 Richard earned £22,000 per year.
Slav-nsk [51]
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Explanation = 31900-22000/22000 • 100 = 45%
6 0
3 years ago
What is the solution of the system of equations? -y+3x=6 y=-6x+12
irinina [24]

Answer:

x = 2

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Step-by-step explanation:

We can solve using substitution, substitute y in the first equation with the second equation:

-(-6x + 12) + 3x = 6

Distribute the negative sign:

6x - 12 + 3x = 6

Combine like terms:

9x - 12 = 6

Isolate the variable and solve for x by adding 12 in both sides:

9x = 18

x = 2

Substitute 2 with x in any equation to find the value of y:

-y + 3(2) = 6

-y + 6 = 6

Subtract 6 in both sides to isolate the variable:

-y = 0

0/-1 = 0

y = 0

Our answer would be x = 2 and y = 0

8 0
3 years ago
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