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GarryVolchara [31]
2 years ago
11

Please help, I have attached a picture of the question! Thank you!

Mathematics
1 answer:
tigry1 [53]2 years ago
6 0

Answer:

Factors:

A. x+3

B. 4x+3

C. x-5

Step-by-step explanation:

Given polynomial:

4x^4-21x^3-46x^2+219x+180

Rewrite it as follows:

4x^4-21x^3-46x^2+219x+180\\ \\=4x^4+12x^3-33x^3-99x^2+53x^2+159x+60x+180\\ \\=4x^3(x+3)-33x^2(x+3)+53x(x+3)+60(x+3)\\ \\=(x+3)(4x^3-33x^2+53x+60)

Now factor polynomial 4x^3-33x^2+53x+60:

4x^3-33x^2+53x+60\\ \\=4x^3-16x^2-17x^2+68x-15x+60\\ \\=4x^2(x-4)-17x(x-4)-15(x-4)\\ \\=(x-4)(4x^2-17x-15)

Now factor polynomial 4x^2-17x-15:

4x^2-17x-15\\ \\=4x^2-20x+3x-15\\ \\=4x(x-5)+3(x-5)\\ \\=(x-5)(4x+3)

Hence,

4x^4-21x^3-46x^2+219x+180=(x+3)(x-4)(x-5)(4x+3)

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A teacher gives a test in which the average of the test scores is 68 and the standard deviation is 14. Realizing that the test w
Alika [10]

Answer:

Mean = 78 ;

Standard deviation = 14

Step-by-step explanation:

Given that:

Mean score = 68

Standard deviation = 14

When a constant value is added to the individual value of a dataset, the new mean value will become the sum of the initial mean value and the constant term added to the values.

Constant Added score = 10

The mean of scaled test score will be:

Mean score + constant added score

68 + 10 = 78

The standard deviation remains unchanged ; Hence, standard deviation = 14

6 0
3 years ago
Hey i really need help its 11:32 where I am and this assignments due at 12:00<br>please!!!!​
USPshnik [31]
%/100 =is/of
Good equation our teacher taught us and the one you’re looking for put x
7 0
2 years ago
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I'm still stuck on this one
Evgesh-ka [11]
The answer would be -4.5/5. You would have to plot the number in between -2 and - 1 4/5. Hope this helps!
7 0
3 years ago
Look at the picture please!!!!
devlian [24]

Answer:

Angle 1: 131

Angle 6: 49

4 0
2 years ago
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Which statements about angles are true? Check all that apply.
Vadim26 [7]

Answer:

A,C,D,E

Step-by-step explanation:

The first one is true because in fact, supplementary angles' measures add up to 180°.

The second one is false because there are 5 types, not 3. These are the types:

acute angle-an angle between 0 and 90 degrees.

right angle-an 90 degree angle.

obtuse angle-an angle between 90 and 180 degrees.

straight angle-a 180 degree angle.

reflex angle- a angle between 180 and 360 degrees.

Third is true too because linear pair means two angles that form a straight line, or 180°.

Fourth is true because straight Angle theorem states that all the straight angles are 180 degrees. If the legs are pointing exactly in the opposite directions, then it forms a straight angle.

Last one is true because by definition complementary angles always form a right angle, which is 90°.

Hope it helps!

8 0
2 years ago
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