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Dahasolnce [82]
3 years ago
5

The vertex form of the equation of a parabola is y = 2(x + 3)2 - 5.

Mathematics
1 answer:
vlada-n [284]3 years ago
4 0
Y = 2(x+3)² - 5

(x+3)² = x(x+3) + 3(x+3) ⇒ x² + 3x + 3x + 9 = x² + 6x + 9

y = 2(x² + 6x + 9) - 5
y = 2x² + 12x + 18 - 5
y = 2x² + 12x + 13  This is the standard form of the equation. Choice D.

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3 0
3 years ago
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The weights of 40 students were recorded. If the 75th percentile of
RUDIKE [14]
In the given question, there are numerous information's already provided. It is important to note then down first. With the help of those given information's the required answer can be easily reached.
Percentage of students that weighed 140 pounds = 75 percent
Then
Percentage of students that weighed more than 140 pounds = (100 - 75) percent
                                                                                                  = 25 percent
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So the number of students that weighed more than 140 pounds is 10. So the correct option in regards to the given question is option "1".
7 0
4 years ago
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Step-by-step explanation:

4 0
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Given that, a_{1} = 39

We will find the second term a_{2}a_{2} = a_{1} + 6 = 39 + 6 = 45

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Now we use the option checking method,

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It means option D is correct

4 0
3 years ago
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