Applying the completing square method:
f(x) = 2x² - 8x + 6
Dividing by a
f(x) = 2(x² - 4x + 3)
Adding and subtracting the square of b (which is 2 in this case)
f(x) = 2(x² + 2² - 4x -2² + 3)
f(x) = 2(x - 2)² - 2
The vertex is (2, -2) and it is a minimum since the coefficient of x is positive.
The answer is B.
Answer: There is 0.44 pounds of flour in each loaf of bread.
Step-by-step explanation:
Given: Flour in 1000 loaves of bread=440 pounds
To find quantity of flour required to make one loaf of bread, we need to divide 440 pounds by 100 loaves of bread.
Thus, Quantity of flour required to make one loaf of bread pounds
Therefore, there is 0.44 pounds of flour in each loaf of bread.
<u>Answer:</u>
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y=77+x
<u>Step-by-step explanation:</u>
The <em>Triangle Angle Sum Theorem</em> states that the sum of all of the angles in any triangle equals 180 degrees.
In the given triangle, two of the angles are already known. The third angle is 180 - y degrees, as all lines measure 180 degrees.
Therefore, the below equation can be put together.
77+x+180-y=180
77+x-y=0
x-y=-77
-y=-77-x
y=77+x
So, y in terms of x is ... y=77+x.
Hope this helps! Comment any questions.
Answer:
Given 7b²-21b-273=7, the solutions are x1 = 8 and x2 = -5.
Step-by-step explanation:
Given 7b²-21b-273=7, first you need to equal zero. So
7b²-21b-273-7=0 ⇒ 7b²-21b-280 = 0
The secon step is to find the solutions applying Bhaskara´s formula x = (-b ± √(b²-4×a×c))/2×a
Where a=7, b= -21 and c= -280
After you identified each term, you have to replace it on the formula so....
x = (21 ± √(21² - 4×7×(-280)))/2×7 ⇒ x = (21 ± √(441 + 7840))/14 ⇒ x = (21 ± √8281)/14
Then you will obtain two values for x, called x1 = 8 and x2=-5.