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Vlada [557]
3 years ago
8

Given f(x)=x2−2x−2, completing the square to solve for the function's zeros yields which of the following? A. (x−1)2=−2 B. (x−2)

2=4 C. (x−2)2=2 D. (x−1)2=3
Mathematics
1 answer:
LekaFEV [45]3 years ago
7 0

Answer:

(x-1)² = 3

Step-by-step explanation:

Given f(x)=x²−2x−2

Completing x²−2x−2 = 0 to square

  • x²−2x − 2=0
  • x²−2x + 1 - 3 =0
  • (x - 1)² - 3 = 0
  • (x - 1)² = 3

Correct choice is D

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exis [7]

Answer: 20 hours

Step-by-step explanation:

Equation: 15x = 300

Isolate the variable.

Divide both sides by 15:   ¹⁵ˣ⁄₁₅ = ³⁰⁰⁄₁₅

x = 20

Ivan needs to work 20 hours in order to afford the bicycle.

8 0
2 years ago
The ordered pair, (1,5) indicates the unit rate of books to cost on the graph shown. What does the point on the graph represent?
DerKrebs [107]
The point on the graph represents that 2 books cost $10.
3 0
2 years ago
Are the two statements equivalent the ratio of orange. to blue is 3 to 4 <br><br>please help
Anestetic [448]

Answer:

Although I'm not entirely sure of the question (sorry lol), any ratio that is 1.5:2 , 6:8 , 9:12 , 12:18 etc would be equivalent to 3 to 4.

Step-by-step explanation:

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8 0
3 years ago
Corey finds a leaf that is 5 cm long. Which measurement is equivalent to 5 cm
Likurg_2 [28]

Hey there!

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Hope this helps you!

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6 0
3 years ago
(2x+3)²=125 find x<br>with full solution please​
Schach [20]

Answer:

<em>x = ± ( 5√5 - 3 ) / 2</em>

Step-by-step explanation:

We are given the equation ( 2x + 3 )² = 125;

( 2x + 3 )^{ 2 }  = 125 - Take Square Root on Either Side,\\| 2x + 3 | = \sqrt{ 125 } - Simplify Square Root of 125,\\\\| 2x + 3 | = \sqrt{ 5 * 25 } - Simplify Further,\\| 2x + 3 | = 5\sqrt{ 5 } - Take | |,\\\\2x + 3 = 5\sqrt{ 5 } , and , 2x + 5 = - 5\sqrt{ 5 } - Algebra, \\2x = 5\sqrt{ 5 } - 3 , and , 2x = - 5\sqrt{ 5 } - 3 - Divide Either Side by 2\\\\x = ( 5\sqrt{ 5 } - 3 ) / 2, and , x = ( - 5\sqrt{ 5 } - 3 ) / 2\\Conclusion ; x = ( + / - 5\sqrt{ 5 } - 3 ) / 2

<em>Solution ; x = ± ( 5√5 - 3 ) / 2</em>

7 0
3 years ago
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