Questions: -1/4(x+6)^2+1

-1/4(x+6)^2+1
Transcript text: \(\frac{-1}{4}(x+6)^{2}+1\)
failed

Solution

failed
failed
Étape 1: Développement de l'expression

Nous commençons par développer l'expression \(-\frac{1}{4}(x+6)^{2}+1\). En développant \((x+6)^{2}\), nous obtenons : \[ (x+6)^{2} = x^{2} + 12x + 36 \] En multipliant par \(-\frac{1}{4}\), nous avons : \[ -\frac{1}{4}(x^{2} + 12x + 36) = -\frac{1}{4}x^{2} - 3x - 9 \]

Étape 2: Ajout de 1

Ensuite, nous ajoutons 1 à l'expression développée : \[ -\frac{1}{4}x^{2} - 3x - 9 + 1 = -\frac{1}{4}x^{2} - 3x - 8 \]

Réponse finale

L'expression développée et simplifiée est : \[ \boxed{-\frac{1}{4}x^{2} - 3x - 8} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Use the elimination method to solve the system of equations. Choose the correct ordered pair. 7x + 3y = 30 -2x + 3y = 3 A. (6,5) B. (3,3) C. (3,5) D. (6,3)
failedAnswered
Hodgkin lymphoma is named after a 19th-century British physician and involves chronic enlargement of lymph nodes spreading to other nodes in an orderly way.
failedAnswered
Identify an advantage of human resource planning for a company. It allows the company to hire human resources with similar types of skills. It allows the company to anticipate the movement of human resources in the company. It allows the company to depend on business process outsourcing. It allows the company to develop a new vision.
failedAnswered
The treasurer for Pittsburgh Iron Works wishes to use financial futures to hedge her interest rate exposure. She will sell five Treasury futures contracts at 107,000 per contract. It is July and the contracts must be closed out in December of this year. Long-term interest rates are currently 7.30 percent. If they increase to 8.50 percent, assume the value of the contracts will go down by 10 percent. Also, if interest rates do increase by 1.2 percent, assume the firm will have additional interest expense on its business loans and other commitments of 63,000. This expense, of course, will be separate from the futures contracts. a. What will be the profit or loss on the futures contract if interest rates increase to 8.50 percent by December when the contract is closed out? b-1. After considering the hedging, what is the net cost to the firm of the increased interest expense of 63,000?
failedAnswered
n 5 of 16 In which of these scenarios is there no opportunity cost? It's Friday night, and you stay up late talking and hanging out with your friends. The chemistry club is giving out free pizza for lunch to all who come to their meeting to get it. Naomi, age 8, is at a bookstore and chooses to buy a book about a young wizard instead of buying a math textbook that she would probably never open. Chez Moi and Chez Nous, two premiere French restaurants with three Michelin stars, both offer you a full time sous chef job at the same salary. You are ecstatic because you know it is a win-win scenario and choose to work for Chez Nous. All of these scenarios have an opportunity cost.