XYZ Oil Company has consistently lost $8 million each year for the past 7 years. Express the total loss as an integer.
2 answers:
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Recall that the vertex form of a quadratic function (or parabolic function) is equal to
Now, given that we have f(x) = x² + 14x + 40, to express f into its vertex form, we must first fill in the expression to form a perfect square.
One concept that we must remember when completing the square is that
(a + b)² = a² + 2ab + b²
So, to complete the square for (x² + 14x + ____), we have 2ab = 14 where a = 1. Thus, b = 14/2 = 7. Hence, the last term of the perfect square must equal to 7² = 49.
So, going back to the function, we have
Thus, we have derived the vertex form of the function.
Answer: f(x) = (x + 7)² - 9
Now, given that we have f(x) = x² + 14x + 40, to express f into its vertex form, we must first fill in the expression to form a perfect square.
One concept that we must remember when completing the square is that
(a + b)² = a² + 2ab + b²
So, to complete the square for (x² + 14x + ____), we have 2ab = 14 where a = 1. Thus, b = 14/2 = 7. Hence, the last term of the perfect square must equal to 7² = 49.
So, going back to the function, we have
Thus, we have derived the vertex form of the function.
Answer: f(x) = (x + 7)² - 9
Petra can make 8 costumes with 12 yards of fabric
<h3><u>Solution:</u></h3>Given that Petra was given 12 yards of fabric to make costumes for the school play
Each costume requires yards
<em><u>To find: number of costume Petra can make</u></em>
The number of costume Petra can make is calculated by dividing the total fabric she has by fabric needed for one costume
Total fabric she has = 12 yards
Fabric needed for 1 costume = yards
Therefore,
Thus petra can make 8 costumes with 12 yards of fabric