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jolli1 [7]
3 years ago
12

Determine if x − 2 is a factor of p ( x ) = x 4 − 3 x 2 + 2 x − 8 , and explain why.

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
8 0

Step-by-step explanation:

If x − 2 is a factor of p(x), then p(2) will equal 0.

p(x) = x⁴ − 3x² + 2x − 8

p(2) = 2⁴ − 3(2)² + 2(2) − 8

p(2) = 16 − 12 + 4 − 8

p(2) = 0

So x − 2 is indeed a factor of p(x).

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The length of an instant message conversation is normally distributed with a mean of 5 minutes and a standard deviation of .7 mi
Charra [1.4K]

The <em><u>correct answer</u></em> is:

0.0764

Explanation:

We will use a z-score to answer this.  The formula for a z-score is

z=\frac{X-\mu}{\sigma}, where μ is the mean and σ is the standard deviation.  Using our information in this problem, we have

z=\frac{6-5}{0.7}=\frac{1}{0.7}=1.43

Using a z-table, we look up the z-score 1.43.  The area under the curve to the left of, or less than, this value is 0.9236.  This means the probability that the time is greater than this is 1-0.9236 = 0.0764.

7 0
3 years ago
Read 2 more answers
Please help me with this!!<br> Thank u
topjm [15]

Answer:

Step-by-step explanation:

Left

When a square = a linear, always expand the squared expression.

x^2 - 2x + 1 = 3x - 5                Subtract 3x from both sides

x^2 - 2x - 3x + 1 = -5

x^2 - 5x +1 = - 5                      Add 5 to both sides

x^2 - 5x + 1 + 5 = -5 + 5

x^2 - 5x + 6 = 0

This factors

(x - 2)(x - 3)

So one solution is x = 2 and the other is x = 3

Second from the Left

i = sqrt(-1)

i^2 = - 1

i^4 = (i^2)(i^2)

i^4 = - 1 * -1

i^4 = 1

16(i^4) - 8(i^2) + 4

16(1) - 8(-1) + 4

16 + 8 + 4

28

Second from the Right

This one is rather long. I'll get you the equations, you can solve for a and b. Maybe not as long as I think.

12 = 8a + b

<u>17 = 12a + b         Subtract</u>

-5 = - 4a

a = - 5/-4 = 1.25

12 = 8*1.25 + b

12 = 10 + b

b = 12 - 10

b = 2

Now they want a + b

a + b = 1.25 + 2 = 3.25

Right

One of the ways to do this is to take out the common factor. You could also expand the square and remove the brackets of (2x - 2). Both will give you the same answer. I think expansion might be easier for you to understand, but the common factor method is shorter.

(2x - 2)^2 = 4x^2 - 8x + 4

4x^2 - 8x + 4 - 2x + 2

4x^2 - 10x + 6    The problem is factoring since neither of the first two equations work.

(2x - 2)(2x - 3)     This is correct.

So the answer is D

5 0
3 years ago
Need help! 20points!!! any and all<br> need answers fast!
jenyasd209 [6]
It’s really blurry.......
5 0
3 years ago
Doris traveled 153 miles on Tuesday. She traveled 270 miles on Wednesday. How many more miles did she travel on Wednesday than s
UNO [17]

Answer:

117

Step-by-step explanation:

270 -153=117

4 0
3 years ago
A line passes through the points (7, 10) and (7, 20). Which statement is true about the line? It has a slope of zero because in
geniusboy [140]
Slope formula: \frac{y2-y1}{x2-x1}
Apply. 
\frac{20-10}{7-7} =  \frac{10}{0} = undefined (No slope) 

Thus, that answer is: Choice D. 

If you're wondering why C isn't this answer, it's because  it doesn't matter if 0 is the numerator of a fraction. If it was, then the slope would be 0 regardless. However, if 0 takes place in the denominator, the slope will be undefined; there will be no slope. 
8 0
3 years ago
Read 2 more answers
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