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Natali [406]
2 years ago
12

Consider function f.

Mathematics
1 answer:
MariettaO [177]2 years ago
4 0

Answer:

  • x = 2, x = -1, x = -3
  • As x approaches negative infinity, f(x) approaches negative infinity

Step-by-step explanation:

<u>Given function</u>

  • f(x)= x^3 + 2x^2 - 5x - 6

<u>Finding zero's</u>

  • x^3 + 2x^2 - 5x - 6 = 0
  • x^3 - 2x^2 + 4x^2 - 8x +3x - 6 =
  • (x - 2)(x^2 + 4x + 3) =
  • (x - 2)(x^2 + x + 3x + 3) =
  • (x - 2)(x(x + 1) + 3(x + 3)) =
  • (x - 2)(x + 1)(x + 3)

<u>Zero's are</u>

  • x = 2, x = -1, x = -3

<em>See the graph attached</em>

<u>Correct end behavior as per graph:</u>

  • As x approaches negative infinity, f(x) approaches negative infinity

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Identify the zeros of f(x) = (x + 9)(x − 4)(6x + 1).
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<h2>The required 'option a)  - 9 , \dfrac{-1}{6}, 4' is correct.</h2>

Step-by-step explanation:

We have,

f(x) = (x + 9)(x − 4)(6x + 1)

To find, all zeroes of the given equation = ?

∴ f(x) = (x + 9)(x − 4)(6x + 1)

⇒ (x + 9)(x − 4)(6x + 1) = 0

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Jasmine created a scale drawing of her room. She used a scale of 1 in:3 feet. The drawing is 8 inches long by 6 inches wide. Wha
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Answer:

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Step-by-step explanation:

Let us use the ratio method to solve the question

∵ The scale drawing of the room is 1 inch: 3 feet

→ That means each 1 inch in the drawing represents 3 feet in real

∵ The drawing is 8 inches long by 6 inches wide

∴ The drawing length of the room = 8 inches

∴ The drawing width of the room = 6 inches

→ By using the ratio method

→  inches  :  feet

→  1            :  3

→  8           :  L

→  6           :  W

→ By using the cross multiplication

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∵ 1 × W = 6 × 3

∴ W = 18

∴ The actual width of the room is 18 feet

Use the formula of the area of the rectangle to find the area of the room

∵ Area of rectangle = length × width

∴ Area of the room = 24 × 18

∴ Area of the room = 432 feet²

∴ The area of the room is 432 square feet

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