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2 years ago

Multiply (x-1)(x³+4x²+4x-1) and combine like terms. Explain how you reached your answer.

Mathematics

1 answer:

Hitman42 [59]2 years ago

5 0

Answer:

x⁴+3x³ -5x +1

Step-by-step explanation:

To multiply this we are going to multiply each term of the binomial by each term of the polynomial.

$(x-1)(x^{3}+4x^{2} +4x-1)\\=x^4+4x^3+4x^2-x -x^3-4x^2-4x+1$

Now we are going to combine like terms (this means we are going to sum up terms with the same exponent)

$x^4+4x^3+4x^2-x -x^3-4x^2-4x+1 = x^4 +(4x^3-x^3)+(4x^2-4x^2)+(-x-4x)+1\\=x^4+3x^3-5x+1$

Thus, the answer is x⁴+3x³ -5x +1

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Find an angle between 0 and 360 degrees that is coterminal with 1260 degrees

cluponka [151]

1260-360-360-360=180
Therefore,180

4 0

2 years ago

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Suppose the population standard deviation is σ = 5 , an SRS of n = 100 is obtained, and the confidence level is chosen to be 98%

beks73 [17]

Answer:

1.165.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.98}{2} = 0.01$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.01 = 0.99$ , so $z = 2.33$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this problem, we have that:

$\sigma = 5, n = 100$ . So

$M = z*\frac{\sigma}{\sqrt{n}}$

$M = 2.33*\frac{5}{\sqrt{100}} = 1.165$

So the correct answer is:

1.165.

6 0

3 years ago

What is the degree measure of b? A)) 29° B) 32° C) 61° D) 64°

Lemur [1.5K]

Answer:

B 32

Step-by-step explanation:

The exterior angle is the sum of the measure of the measure of the opposite interior angles.

151 = 119+b

Subtract 119 from each side.

151-119 = 119-199+b

32 = b

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3 years ago

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Determine the slope of a line that is perpendicular to the line 2y = 3x – 6.

miss Akunina [59]

Answer:

perpindicular slope = -2/3

Step-by-step explanation:

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2 years ago

A plane flew for 5 hours heading west and for 4 hours heading south. If the total distance traveled was 3,444 miles, and the pla

Ganezh [65]

Answer:400 miles per hour

Step-by-step explanation:

Let w = speed at which the plane travelled west

Let s = speed at which the plane travelled south

Distance moved in 5 hrs heading west = 5*w = 5w

Distance moved in 4 hrs heading south = 4*s = 4s

Total distance, 3444= 5w + 4s

w = s + 39( 39 miles/hr faster)

5(s+39) + 4s = 3444

5s + 195 + 4s = 3444

9s = 3249

s = 361 miles per hour

w = s + 39 = 361 +39

= 400 miles per hour

4 0

3 years ago