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ipn [44]
2 years ago
5

Use completing the square to rewrite the function in vertex form. f(x)=x2+6x−5

Mathematics
1 answer:
Soloha48 [4]2 years ago
4 0

Answer:

f(x) = (x + 3)² - 14

Step-by-step explanation:

f(x) = x² + 6x - 5

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 6x

f(x) = x² + 2(3)x + 9 - 9 - 5

     = (x + 3)² - 14 ← in vertex form

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One afternoon, 27 people withdraw $100 from an ATM. What was the overall change in the amount of money in the machine?​
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Answer:

The change is a decrease of $2700.

Step-by-step explanation:

Given

Total Number of people = 27

Amount each person withdrew = $100

The total withdrawn amount by 27 people = 100 × 27

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Let M be the amount of money in the ATM at the beginning.

As $2700 was drawn from the ATM, therefore, the change the amount of money in the machine will be:

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It means the change is a decrease of $2700.

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Step-by-step explanation:

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In a family with 77 children, excluding multiple births, what is the probability of having exactly 22 girls
Lemur [1.5K]

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Use Euler’s Formula to find the missing number.<br> Edges: 37<br> Faces: 25<br> Vertices: ?
matrenka [14]

Answer:

Step-by-step explanation:

Comment

The formula that relates edges faces and vertices is  F + V = E + 2

Givens

Edges (E): 37

Faces (F) = 25

Vertices: x

Solution

25 + x = 37 + 2                Subtract 25 from both sides.

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x = 12 + 2

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2 years ago
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