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serious [3.7K]
3 years ago
13

PLEASE HELP WITH QUESTIONS 4 AND 5

Mathematics
1 answer:
agasfer [191]3 years ago
6 0

Answer:

4 - Complementary

5 - Supplementary

Step-by-step explanation:

i can't find the value of X

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alexira [117]

Answer:

x = 2, 1 + 3i, 1 − 3i

Step-by-step explanation:

Find the Roots (Zeros)

x^4 − 6x^3 + 22x^2 − 48x + 40

Set x^4 − 6x^3 + 22x^2 − 48x + 40 equal to 0. x^4 − 6x^3 + 22x^2 − 48x + 40 = 0

Solve for x.

Factor the left side of the equation.

Factor x^4 − 6x^3 + 22x^2 − 48x + 40 using the rational roots test.

(x − 2) (x^3 − 4x^2 + 14x − 20) = 0

 Factor x^3 − 4x^2 + 14x − 20 using the rational roots test.

(x − 2) (x − 2) (x2 − 2x + 10) = 0

 Combine like factors.

(x − 2)2 (x^2 − 2x + 10) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

(x − 2)^2 = 0

x^2 − 2x + 10 = 0

 Set (x − 2)^2 equal to 0 and solve for x.

Set (x − 2)^2 equal to 0.

 (x − 2)^2 = 0

Solve (x − 2)^2 = 0 for x.

x = 2

 Set x^2 − 2x + 10 equal to 0 and solve for x.

Set x^2 − 2x + 10 equal to 0. x^2 − 2x + 10 = 0

Solve x^2 − 2x + 10 = 0 for x.

Use the quadratic formula to find the solutions.

−b ± (√b^2 − 4 (ac) )/2a

Substitute the values a = 1, b = −2, and c = 10 into the quadratic formula and solve for x.

2 ± (√(−2)^2 − 4 ⋅ (1 ⋅ 10))/2 ⋅ 1

Simplify.

Simplify the numerator.

  x =    2 ± 6i/ 2.1

Multiply 2 by 1

 x =  2 ± 6i/2⋅1

 Simplify

  2 ± 6i/2  

   x = 1 ± 3i

The final answer is the combination of both solutions.

x = 1 + 3i, 1 − 3i

The final solution is all the values that make (x − 2)2 (x2 − 2x + 10) = 0 true.

x = 2, 1 + 3i, 1 − 3i

3 0
3 years ago
Simplify the expression to a polynomial in standard form. (X+1)(3x^2+9x+2)
OLEGan [10]

Answer:

3x^3 + 12x^2 +11x +2

Step-by-step explanation:

this is also a cube root expanded If that helps

4 0
2 years ago
0.35, 0.68, 0.20, 0.31<br><br> Order the numbers greatest to least.
Artyom0805 [142]

Answer:0.68,0.35,0.31,0.20

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
In a 51-inch television, the length of the screen's diagonal is 51 inches. If the screen's height is 25 inches,
DaniilM [7]

Answer:

44.452

Step-by-step explanation:

Using the Pythagorean theorem you can use:

51^2 = 25^2 + w^2

2601 = 625 +w^2

w^2 = 1976

w = 44.452

6 0
2 years ago
Read 2 more answers
Last year Billy weighed 75kg. This year he weighed 90kg. With what percentage did his weight increase. SHOW ALL WORK!!!
k0ka [10]

Answer:

20%

Step-by-step explanation:

90 - 75 = 15

15 ÷ 75 = 0.2

0.2 x 100% = 20%

8 0
3 years ago
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