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3 years ago

(x 4 - 3x 3 + 3x 2 - 3x + 6) (x - 2)

Mathematics

1 answer:

Vlada [557]3 years ago

4 0

Answer:

x^5 - 5 x^4 + 9 x^3 - 9 x^2 + 12 x - 12

Step-by-step explanation:

(x ^4 - 3x^3 + 3x^2 - 3x + 6) (x - 2)

Distribute the x to all the terms in the first parentheses

(x^ 4 *x - 3x^ 3 *x + 3x^ 2 *x - 3x *x + 6*x)

Then simplify

(x^5 - 3x^4 + 3x^ 3 - 3x2 + 6x)

Distribute the -2 to all the terms in the first parentheses

(x^ 4 *(-2) - 3x^ 3 *(-2) + 3x^ 2 *(-2) - 3x *(-2) + 6*(-2))

Then simplify

(-2x^4 +6x^3 -6x^ 2 +6x -12)

Add the terms together

(x^5 - 3x^4 + 3x^ 3 - 3x2 + 6x) +(-2x^4 +6x^3 -6x^ 2 +6x -12)

x^5 - 5 x^4 + 9 x^3 - 9 x^2 + 12 x - 12

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Simplify the expression. A) 8^4•8^9

OlgaM077 [116]

Answer:

${8}^{13}$

Step-by-step explanation:

${8}^{4} \times {8}^{9} \\ {8}^{4 + 9} \\ {8}^{13} \\ = 5.497558139 \times 10 ^{11}$

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3 years ago

What is the quality of 4x+27x=5

Nadya [2.5K]

Answer:

Step-by-step explanation:

Isolate x on one side of the equation.

4x+27x=31x (Combine like terms, group like terms, & Add.)

31x=5

31x/31=5/31 (Divide by 31 from both sides.)

5/31=0.16

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In conclusion, the correct answer is x=5/31=0.16.

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3 years ago

1. What is the center and radius of the circle?<br> (x-4)² + (x-7) ² - 49

tester [92]

Answer:

Center at (4, 7) and radius is √49, or 7

Step-by-step explanation:

Didn't you mean (x-4)² + (y-7) ² = 49?

Comparing (x-4)² + (y-7) ² = 49

to (x - h)^2 + (y - k)^2 = r^2, we see that the center is at (h, k) => (4, 7) and that the radius is √49, or 7.

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3 years ago

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postnew [5]

Answer:

Step-by-step explanation:

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3 years ago

The grade point averages (GPA) for 12 randomly selected college students are shown on the right. Complete parts (a) through (c)

Ilya [14]

Answer:

$\bar X =\frac{2.3+3.1+2.8+1.7+0.9+4+2.1+1.2+3.6+0.2+2.4+3.2}{12}=2.29$

$s=1.09$

Step-by-step explanation:

For this case we have the following data given:

2.3 3.1 2.8

1.7 0.9 4.0

2.1 1.2 3.6

0.2 2.4 3.2

Since the data are assumedn normally distributed we can find the standard deviation with the following formula:

$\sigma =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And we need to find the mean first with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X =\frac{2.3+3.1+2.8+1.7+0.9+4+2.1+1.2+3.6+0.2+2.4+3.2}{12}=2.29$

And then we can calculate the deviation and we got:

$s=1.09$

7 0

3 years ago

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