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babunello [35]
3 years ago
12

Find a thrid degree polynomial equation with rational coeffcients that has roots -4 and 6 +i

Mathematics
1 answer:
neonofarm [45]3 years ago
4 0
For the coefficients to be rational, any complex roots must occur in conjugate pairs. So if 6+i is a root, then so must be 6-i.

Now such a third degree polynomial might be

(x+4)(x-(6+i))(x-(6-i))=(x+4)(x^2-12x+37)=x^3-8x^2-11x+148

The only variation to this would be multiplying throughout by some non-zero constant. This doesn't change the roots.
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4.2× 3600 = 15120 seconds
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A merry-go- round spins at a rate of 3 miles in 5 minutes.
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36 miles an hour
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3 years ago
Help on the second graph?
patriot [66]

Answer:

The 2nd Graph is a function.

Step-by-step explanation:

You can tell it's a function because if you flatten the individual line segments along the x-axes, they all connect to form one long line.

HOWEVER, if some of the dots at the end of each line segment were empty circles instead, then it would not be considered a function. You can think of these as holes, not allowing the line to connect in those or that area.

Did that help? ;-;

7 0
3 years ago
The frequency distribution representing the number of frequent flier miles accumulated by employees at Brumley Statistical Consu
alisha [4.7K]

Answer:

a. How many employees accumulated less than 3,000 miles?

The number of employees accumulated less than 3,000 miles= 5

So the number of employees accumulated less than 3,000 miles is 5.

d. Based on the cumulative frequency polygon, about 75% of the employees accumulated how many miles or less?

8.5 thousands of miles, found by starting at 75 percent on the vertical axis on the right, over to the polygon and then down to the horizontal axis.

Step-by-step explanation:

The given frequency distribution representing the number of frequent flier miles accumulated by the employees in a company.                        

Frequent Flier Miles (000) Frequency

0                     up to 3 5

3                      up to 6 12

6                      up to 9 23

9                     up to 12 8

12                   up to 15 2

Total                       50

a. How many employees accumulated less than 3,000 miles?

The number of employees accumulated less than 3,000 miles= 5

So the number of employees accumulated less than 3,000 miles is 5.

b. Convert the frequency distribution to a cumulative frequency distribution.

We make the cumulative frequency distribution from the frequency distribution by adding up a frequency and all other frequencies below it.                

Frequent Flier Miles Frequency Cumulative frequency

0 up to 3                                5 5

3 up to 6                                      12 17

6 up to 9                                      23 40

9 up to 12                               8 48

12 up to 15                               2 50

Total 50

d. Based on the cumulative frequency polygon, about 75% of the employees accumulated how many miles or less?

8.5 thousands of miles, found by starting at 75 percent on the vertical axis on the right, over to the polygon and then down to the horizontal axis.

8 0
3 years ago
An equation ___ has one solution <br><br> A. Always <br> B. Sometimes <br> C. Never
Doss [256]

im am pretty sure it is b.sometimes because an equation can have more then one answer

4 0
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