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Annette [7]
3 years ago
13

How do I Rewrite the function by completing the square x^2+8x-29

Mathematics
1 answer:
Flura [38]3 years ago
5 0

Answer:

  (x +4)^2 -45

Step-by-step explanation:

The square of a binomial has the form ...

  (x +a)^2 = x^2 +2ax +a^2

That is, the constant term (a^2) is the square of half the coefficient of the linear term: (2a/2)^2 = a^2.

To "complete the square", you add 0 in the form of the desired constant added to its opposite. Here, we want the constant for the square to be (8/2)^2 = 16. So, we can add 0 = 16 -16 to the expression:

  x^2 +8x +16 -29 -16

  (x^2 +8x +16) -45 . . . . group the terms that make the square

  (x +4)^2 -45 . . . . rewritten after completing the square

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HELP ASAP FOR BRAINLIEST:
Fed [463]

Answer: 228 students

Step-by-step explanation:

Since the results for the standardized test are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = test reults

µ = mean score

σ = standard deviation

From the information given,

µ = 1700 points

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We want to find the probability of students expected to score above 1850 points. It is expressed as

P(x > 1850) = 1 - P(x ≤ 1850)

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z = (1850 - 1700)/75 = 150/75 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.97725

P(x > 1850) = 1 - 0.97725 = 0.02275

If 10,000 students take the exam, then the number of students you would expect to score above 1850 points is

0.02275 × 10000 = 228 students

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3 years ago
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3 years ago
What times 4 equals 8/3
Ivanshal [37]
The answer is 2/3 because you divide 8/3 by 4 and get 2/3.
6 0
4 years ago
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A company has developed a new type of light bulb, and wants to estimate its mean
BARSIC [14]

Answer:

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Step-by-step explanation:

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The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

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95% confidence interval

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3 years ago
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JulsSmile [24]
The answer is 1/16.

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3 years ago
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