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3 years ago

Determine and state the vertex of f(x) = x2– 2x – 8 using the method of completing the square.

Mathematics

1 answer:

timurjin [86]3 years ago

3 0

Answer:x²-2x-8

X²-2x=8

X²= -2x + (-1)² = 8 + (-1)²

X²= -2x + 1 = 8 + 1

X²= -2x + 1 = 9

(X-1)² = 9

√(x-1)² = √9

X-1 = ± 3

X= 1 + 3= 4

X= 1 - 3= -2

X= 4 or X= -2

Step-by-step explanation:

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2 years ago

Read 2 more answers

Please help me- thank you

Kruka [31]

Answer:

a) The profit will be: $Profit=y^2-99500$

b) Since the profit is -9500 (negative) so, company will not gain any profit if they produce 300 bicycles.

Step-by-step explanation:

Cost of Bicycles= $y^2+10y+100,000$

Revenue generated = $2y^2+10y+500$

Find a polynomial that represent profits

The formula used for finding profit is:

$Profit = Total \ Revenue - Total \ Cost\\Profit= 2y^2+10y+500 - (y^2+10y+100,000)\\Profit= 2y^2+10y+500 - y^2-10y-100,000\\Profit=2y^2-y^2+10y-10y+500-100,000\\Profit=y^2-99500$

So, the profit will be: $Profit=y^2-99500$

If the company can produce bicycles y= 300

The profit will be:

$Profit=y^2-99500\\Profit=(300)^2-99500\\Profit=90000-99500\\Profit=-9500$

Since the profit is -9500 (negative) so, company will not gain any profit if they produce 300 bicycles.

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2 years ago

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Kimi and Jordan are each working during the summer to earn money in addition to

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Their earnings would be the same after 4 hours

Let the number of hours be x, and the weekly earning be y

So, the given parameters are:

Kimi

Earnings = $9 per hour
Weekly allowance = $8

So, the equation for Kimi's weekly earning is:

$y =9x + 8$

Jordan

Earnings = $7 per hour
Weekly allowance = $16

So, the equation for Jordan's weekly earning is:

$y = 7x + 16$

Equate both equations

$7x + 16 = 9x + 8$

Collect like terms

$9x - 7x = 16 - 8$

$2x =8$

Divide both sides by 2

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Hence, their earnings would be the same after 4 hours

Read more about linear equations at:

brainly.com/question/13729904

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