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stellarik [79]
2 years ago
15

Find the factors of x3−7x−6

Mathematics
2 answers:
Misha Larkins [42]2 years ago
5 0

Step-by-step explanation:

Factor {x}^{3}-7x-6x3−7x−6 using Polynomial Division.

({x}^{2}-x-6)(x+1)(x2−x−6)(x+1)

2

 



Factor {x}^{2}-x-6x2−x−6.

(x-3)(x+2)(x+1)(x−3)(x+2)(x+1)

Lyrx [107]2 years ago
4 0

Answer:

  • B. (x−3)(x+2)(x+1)

Step-by-step explanation:

Possible options are 1 or 2 as each has odd number of negative coefficients.

<u>Open parenthesis and verify:</u>

  • (x+3)(x+2)(x−1) = ³ + 4x² + x - 6, false
  • (x−3)(x+2)(x+1) = x³ - 7x - 6, true

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Answer:

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Step-by-step explanation:

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3 years ago
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Write the equation of a line that is perpendicular to y=-2x/7+9 and that passes through the point (4,−6)
Shtirlitz [24]

Answer:

  y = (7/2)x -20

Step-by-step explanation:

The given line is in slope-intercept form, so you can read its slope from the equation.

  y = mx + b . . . . . m is the slope; b is the y-intercept

  y = -(2/7)x + 9 . . . . . . has slope -2/7

The perpendicular line will have a slope that is the negative reciprocal of this, so will be ...

  m = -1/(-2/7) = 7/2

We can use this and the given point to write the equation in point-slope form.

  y = m(x -h) +k . . . . . . line with slope m through point (h, k)

We have m = 7/2, (h, k) = (4, -6) so the equation is ...

  y = (7/2)(x -4) -6

  y = (7/2)x -20

4 0
3 years ago
Boa tarde gentiii Abaixo aparecem quatro sequências. Defina cada uma delas como RECURSIVA ou NÃO RECURSIVA. a) (5, 7, 9, 11, 13,
marusya05 [52]

Answer:

a) (5, 7, 9, 11, 13, 15, 17, 19, ...) Recursivo

b) (1, 4, 9, 16, 25, 36, 49, 64, ...) Recursivo

c) (1, 8, 27, 64, ...) Recursivo

d) (2, 5, 8, 11, 14, 17, ...) Recursivo

Step-by-step explanation:

Uma função recursiva é aquela em que os termos subsequentes da função são calculados com base nos termos anteriores

O comportamento recursivo é exibido pelos objetos quando consiste em seguir as partes;

1) Uma base que é predefinida

2) Um processo ou etapa recursiva que produz termos subsequentes pela aplicação de certos processos

Para a série;

a) (5, 7, 9, 11, 13, 15, 17, 19, ...)

Aqui 5 é a base e os termos subsequentes são encontrados adicionando 2 ao termo anterior, portanto, é uma função recursiva

aₙ = aₙ₋₁ + 2

b) (1, 4, 9, 16, 25, 36, 49, 64, ...)

Aqui 1 é a base e os termos subsequentes são encontrados ao quadrado da soma da raiz do termo anterior e 1, portanto, é uma função recursiva

aₙ = (√ (aₙ₋₁) + 1) ²

c) (1, 8, 27, 64, ...)

Aqui 1 é a base e os termos subsequentes são encontrados elevando à potência de três a soma da raiz cúbica do termo anterior e 1, portanto, é uma função recursiva

aₙ = (∛ (aₙ₋₁) + 1) ³

d) (2, 5, 8, 11, 14, 17, ...)

Aqui 2 é a base e os termos subsequentes são encontrados adicionando 3 ao termo anterior, portanto, é uma função recursiva.

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3 years ago
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Phantasy [73]

Answer:

C. Corresponding angles

Step-by-step explanation:

Visualize the two points of intersection and the four angles around each of them being separated. If you put the on top of each other, you can see that angle 4 corresponds with angle 8.

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Sliva [168]
The LCM is 2, Because 2*4=8 and 2*50=100 :)
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3 years ago
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