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kogti [31]
4 years ago
10

Complete the square to rewrite y=x^2-6x+14 in vertex form. Then state whether the vertex is a maximum or minimum and give is coo

rdinates. A. - Minimum at (3,5) B. - Minimum at (-3,5) C. - Maximum at (-3,5) D. - Maximum at (3,5)
Mathematics
1 answer:
Vladimir [108]4 years ago
5 0

Answer:

3,5, Minimum

Step-by-step explanation:

y=x²-6x+14

y=(x²-2*3x +3²-3²)+14

y=(x²-2*3x+3²)+14-9

y=(x-3)²+5

a=1

p=3

q=5

a>0 ⇒ vertex is minimum

V(p,q) ⇒ V(3;5)

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3 years ago
Goal
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The development of the personal budget that convinces parents that one can maintain an independent living is detailed as follows using the 50: 30: 20 rule:

50% for necessities (housing, food, transportation, utilities) $740

30% for luxuries, savings, vacations, entertainment, etc. $461

20% for Emergency Funds and Retirement $335

<h3>What is a personal budget?</h3>

A personal budget is the household budget for a single person for a period.

The personal budget shows an estimate of the person's revenue and expenses over the period.

<h3>Data and Calculations:</h3>

Hourly rate of earnings = $12

Working hours per week = 40 hours

Working hours per month = 160 hours (40 x 4 weeks)

Total monthly earnings = $1,920 ($12 x 160)

Assumed tax rate = 20%

After-tax take-home pay = $1,536 ($1,920 x 1 - 20%)

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Rent of apartment = $300

Heating = $40

Water cost = $20

Sewage bill = $10

Food = $300

Transportation = $50

Other costs = $20

Total cost for necessities = $740

Thus, the development of the personal budget shows that one can maintain an independent living from the parents as a single person.

Learn more about personal budgets at brainly.com/question/1943261

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2 years ago
I’m desperateee help meeee!!!
kumpel [21]

Answer:

f(2)=5

q(2) =-5

p(2) = 5

f(x) and p(x) has the same output value

6 0
3 years ago
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