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gavmur [86]
3 years ago
7

Which is the polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and roots

Mathematics
1 answer:
olga2289 [7]3 years ago
4 0

Answer:

f(x) = 3x^{3}  - 6x^{2} - 15x + 30

Step-by-step explanation:

If  \sqrt{5}  is a root, then so is -\sqrt{5}

f(x) = 3(x + \sqrt{5})(x - \sqrt{5})(x - 2)

     = 3(x^{2} - 5)(x - 2)

     = 3(x^{3} - 2x^{2} - 5x + 10)

     = 3x^{3}  - 6x^{2} - 15x + 30

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NEED HELP!!! Please answer the question! WILL GIVE BRANILY! 15 POINTS!!!
rewona [7]

Answer: D. Cannot be determined.

If Angle 3 were not included, the answer would be A, 360°

Step-by-step explanation: When the lines a, b, & c are parallel, the line intersecting them forms angles that are vertical, supplementary and/or corresponding and congruent.

Here, angles 4 and 5 are supplementary. No need to know their exact measurements. Together, their sum is 180°

Angles 1 and 2 are also supplementary, another 180°

But we don't know the measure of angle 3, so getting an exact sum is impossible here.

5 0
3 years ago
36% of what number is 18?
pantera1 [17]
Say 36% of 100 is 36. so knowing half of 36 is 18, take half of 100, 50. 

so 18/50 = 36 

The answer is 50. 
3 0
3 years ago
A list of 8 numbers has a mean of 6. work out the total of the numbers.​
VARVARA [1.3K]

Answer:

48

Step-by-step explanation:

The mean of a number is the sum of all the numbers divided by how many numbers there are. We can set up this formula: mean = \frac{sum}{amountnumbers}.

When we plug our values into this equation, we get: 6 = \frac{sum}{8}. Solving this equation gets us sum = 6 * 8 = 48

8 0
2 years ago
Mario ran 10 miles in 1 hour and 15 minutes (1.25 hours). What was his average speed?
Sergio [31]

Answer:

2/3 of the students in a class are girls. if there are 20 boys in the class. then the totoal number of girls is

5 0
3 years ago
Read 3 more answers
A triangle has the following vertices (-1,1), (6,-2)and (3,5) if the scale factor of 3, what will be the vertices of the image
olga2289 [7]

Answer:

  a.  (-3,3), (18,-6), (9,15)

Step-by-step explanation:

If the scale factor is 3 and dilation is about the origin, each of the coordinates of the pre-image is multiplied by 3 to get the coordinates of the image.

Multiplying (-1, 1) by 3 gives (-3, 3), which matches choices A and C.

Multiplying (6, -2) by 3 gives (18, -6) which matches choices A and D.

The only viable choice is choice A.

4 0
3 years ago
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