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Sidana [21]
2 years ago
13

Which model shows the correct factorization of x2 – x – 2? Image for option 1 Image for option 2 Image for option 3 Image for op

tion 4
Mathematics
2 answers:
Contact [7]2 years ago
6 0
Hint:  Please express exponentiation with the "^" symbol:  x^2 - x - 2.

Note that the final term factors to (-2)(-1), and that -2x and +1x combine to produce the middle term, -x.  Thus, the factors of this polynomial are

(x+1)(x-2).

Please do not refer to "Image for Option 1," etc., unless you are actually sharing the image!
jok3333 [9.3K]2 years ago
5 0

Image B is the correct answer


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X=37/5
or 7.4 in decimal form

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You have lunch at an Italian restaurant. The cost of lunch before tax is
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0.07 * 12.5 = 0.88

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What are the transformations to this quadratic function y= (x+4) power of 2 - 8
I am Lyosha [343]

Answer:

Horizontal shift of 4 units to the left.

Vertical translation of 8 units downward.  

Step-by-step explanation:

Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:

The vertex form of the quadratic function is y = a(x - h)² + k

Where:

The vertex is (h , k), which is either the <u>minimum</u> (upward facing graph) or <u>maximum</u> (downward-facing graph).

The axis of symmetry occurs at <em>x = h</em>.

<em>a</em> =  determines whether the graph opens up or down, and makes the graph wider or narrower.

<em>h</em> = determines how far left or right the parent function is translated.

<em>k</em> = determines how far up or down the parent function is translated.

Going back to your quadratic function,

          y = (x + 4)² - 8

  • The vertex occrs at (-4, -8)
  • a is assumed to have a value of 1.
  • Given the value of <em>h</em> = -4, then it means that the graph shifted horizontally by <u>4 units to the left</u>.  
  • Since k = -8, then it implies that the graph translated vertically at <u>8 units downward</u>.

Please mark my answers as the Brainliest, if you find this helpful :)

4 0
2 years ago
Simplify the expression with using scientific notation (4 times 10 8)2
kifflom [539]

The scientific notation:

a\cdot10^n\\\\1\leq a < 10;\ n\in\mathbb{Z}

(4\cdot10^8)^2=4^2(10^8)^2=16\cdot10^{8\cdot2}=16\cdot10^{16}\\\\=1.6\cdot10\cdot10^{16}=1.6\cdot10^{17}

Used:

(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{n\cdot m}\\\\a^n\cdot a=a^{n+1}

Answer: (4 × 10⁸)² = 1.6 × 10¹⁷

8 0
3 years ago
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