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Naily [24]
3 years ago
10

Find the average rate of change for the function f(x) =x^2 -6x+2 on the closed side interval (-5,2)

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
6 0

Answer:

- 9

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [a, b ] = [ - 5, 2 ], thus

f(b) = f(2) = 2² - 6(2) + 2 = 4 - 12 + 2 = - 6

f(a) = f(- 5) = (- 5)² - 6(- 5) + 2 = 25 + 30 + 2 = 57 , thus

average rate of change = \frac{-6-57}{2-(-5)} = \frac{-63}{7} = - 9

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Use a net to find the surface area of the cone to the nearest square centimeter. Use 3.14 for pi (Round to nearest whole number)
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Given:

The radius of the base of the given cone = 5 cm

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3 0
3 years ago
Goal
morpeh [17]

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%)

<h3>Monthly Necessities:</h3>

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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