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Sindrei [870]
2 years ago
7

What number should be added to both sides of the equation to complete the square?

Mathematics
2 answers:
Scilla [17]2 years ago
6 0

Answer:

  • 9/4

Step-by-step explanation:

<u>The perfect square identity is:</u>

  • (a + b)² = a² + 2ab + b²

<u>Apply to the given equation to complete the square:</u>

  • x² + 3x = 6
  • x² + 2*x*(3/2) + (3/2² = 6 + (3/2)²
  • (x + 3/2)² = 6 + 9/4
  • (x + 3/2)² = 8 1/4

Required number is 9/4

postnew [5]2 years ago
4 0

Answer: Is this completing a a square?

Step-by-step explanation:

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Answer:

option A

f(x) = (x – 1)2 + 3

Step-by-step explanation:

Given in the question a function,

f(x) = 4 + x² – 2x

<h3>Step 1</h3>

f(x) = 4 + x² – 2x

here a = 1

        b = -2

        c = 4

<h3>Step 2</h3>

x = -b/2a

h = -(-2)/2(1)

h = 2/2

h = 1

Step 3

Find k

k = 4 + 1² – 2(1)

k = 3

Step 4

To convert a quadratic from y = ax² + bx + c form to vertex form,

y = a(x - h)²+ k

y = 1(x - 1)² + 3

y = (x - 1)² + 3

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Twelve different video games showing violence were observed. The duration times of violence were​ recorded, with the times​ (sec
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Answer:

The requirements that must be satisfied are:

- The sample should be reasonably random.

- The sample size should not be higher than 10% of the population.

- The data should not have outliers or excessive skewness.

- The data should be normal or with a sample large enough (usually n>30).

There is no enough information to know if the requirements are satisfied.

Step-by-step explanation:

Ths test hypothesis would be a t-test.

The requirements that must be satisfied are:

- The sample should be reasonably random.

- The sample size should not be higher than 10% of the population.

- The data should not have outliers or excessive skewness.

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Some conditions are not met, as the sample size (n=12) which is not big enough.

We don't know also if the sample was taken randomly. The size of the sample respect to the population is also unknown.

In conclusion, we can not tell if the requirements are satisfied.

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