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3 years ago

Complete the steps to find all zeroes of the function f(x) = x4 − 4x3 − 4x2 + 36x − 45. This function has roots.

Mathematics

2 answers:

xxTIMURxx [149]3 years ago

7 0

Steps?

A graph shows zeros to be ±3. Factoring those out leaves the quadratic
(x-2)² +1
which has complex roots 2±i.

The function has roots -3, 3, 2-i, 2+i.

lapo4ka [179]3 years ago

5 0

this function has 4 roots.

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Write an equation (-2, 10), (10, -14)

Brilliant_brown [7]

$\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{-14}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-14}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{(-2)}}}\implies \cfrac{-24}{10+2}\implies \cfrac{-24}{12}\implies -2$

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{-2}[x-\stackrel{x_1}{(-2)}]\implies y-10=-2(x+2) \\\\\\ y-10=-2x-4\implies y=-2x+6$

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3 years ago

A puzzle in the local newspaper lists the letters M, R, O, U, and H and asks readers if they can correctly unscramble the letter

Gala2k [10]

The answer to this question is C. This is 100% correct.

8 0

3 years ago

Read 2 more answers

Two families go skiing on a Saturday. One family purchases three adult lift tickets and four lift tickets for $188. Another fami

Mnenie [13.5K]

Answer:using elimination to solve for x

9x +6y = 3*134 | Multiplying 1st equation by 3

-4x -6y = -2*146 | Multiplying 2nd equation by -2

5x = 3*134 - 2*146

5x = $110

x = $22, the cost of the youth ticket

Step-by-step explanation:This question Sets Up two equations with 2 unknowns

Let x and y represent the cost of the youth and adult ticket respectively

Question states***

3x + 2y = $134

2x + 3y = $146

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3 years ago

Which expression is equivalent to ( 4 1/3)^3 ?

shutvik [7]

(13/3)^3 or (13/3)•(13/3)•(13/3)

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2 years ago

Multiply.Express your answer in standard form.(3 points)(x² -4x + 3)(-3x²+ 7x –1)

bija089 [108]

Answer:

-3x^{4} + 19x^{3} - 38x^{2} + 25x - 3

Step-by-step explanation:

1) distribute x² into (-3x² + 7x - 1) to get: -3x^{4} + 7x³ - x²

2) distribute -4x into (-3x² + 7x - 1) to get: 12x³ - 28x + 4x

3) distribute 3 into (-3x² + 7x - 1) to get: -9x² + 21x - 3

4) combine all the answers together into one equation:

-3x^{4} + 7x³ - x² + 12x³ - 28x² + 4x - 9x² + 21x - 3

5) combine like terms:

7x³ + 12x³ = 19x³

-x² + -28x² + -9x² = -38x²

4x + 21x = 25x

6) combine answers together into one equation:

-3x^{4} + 19x³ - 38x² + 25x - 3

3 0

3 years ago