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3 years ago

Rewrite the function by completing the square f(x)=x^2-14x+63

Mathematics

2 answers:

Veseljchak [2.6K]3 years ago

8 0

Answer:

f(x) = (x - 7)² - 14

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Standard Form: ax² + bx + c = 0
Vertex Form: f(x) = a(bx - c)² + d
Completing the Square: (b/2)²

Step-by-step explanation:

Step 1: Define

f(x) = x² - 14x + 63

Step 2: Rewrite

Separate: f(x) = (x² - 14x) + 63
Complete the Square: f(x) = (x² - 14x + 49) + 63 - 49
Simplify: f(x) = (x - 7)² - 14

anastassius [24]3 years ago

6 0

Answer:

-7 and 14 on khan

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Finger [1]

Answer:

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Step-by-step explanation:

Given four members eligible for selection:

Alice (A), Bill (B), Carol (C), and David (D).

The possible combinations are:

(A,B),(A,C),(A,D),(B,A),(B,C),(B,D),(C,A),(C,B),(C,D), (D,A),(D,B), (D,C)

Part A

Since the same pairs are equal i.e. (A, B)=(B , A),

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{(A,B),(A,C),(A,D),(B,C),(B,D),(C,D)}

This is Option C.

Part B

If both genders must be represented, we remove the entries that contain the same gender from the sample space above.

A and C -Female

B and D - Male

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Therefore, the sample space if both genders are to be represented is:

{(A,B),(A,D),(B,C),(C,D)}

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4 years ago

What is the completely factored form of x^4+8x^2-9

denis-greek [22]

Remark

You'll see it a whole lot easier if you make a substitution so that it looks like something you have already seen

Solution

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x^4 = y * y

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Now the expression becomes

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Now put the x^2 back in.

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PSYCHO15rus [73]

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