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Slav-nsk [51]
4 years ago
12

Working together 6 friends picked 14 2/5 lb of pecans at a pecan Farm. They divided the pecans equally among themselves. How man

y pounds does each friend get?
Mathematics
1 answer:
morpeh [17]4 years ago
3 0
Each friend would receive 2 2/5 pounds of pecans. 
14 2/5 divided by 6 = 2 2/5
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Allyanna has a cell phone plan that costs 150$ to start. Then there is a $45 charge per month. What is the linear equation we co
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Answer:

C = cost

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C = $150 + $45m

Step-by-step explanation:

self explanatory

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Which of these polynomial equations is of least degree and has -1, 2, and 4 as three of its roots?
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Answer:

x^3 - 5 x^2 + 2 x + 8 = 0

Step-by-step explanation:

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x - 4 = 0 or x - 2 = 0 or x + 1 = 0

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The function h(x) = x2 + 14x + 41 represents a parabola.
defon
Part A:

h(x)= x^{2} +14x+41

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We have the first two terms exactly the same with the function we start with: x^{2} and 14x but we need to add/subtract from the last term, 49, to obtain 41. 

So the second step is to subtract -8 from the expression x^{2} +14x+49

The function in completing the square form is
h(x)= (x+7)^{2}-8

Part B:

The vertex is obtained by equating the expression in the bracket from part A to zero

x+7=0
x=-7

It means the curve has a turning point at x = -7

This vertex is a minimum since the function will make a U-shape. 
A quadratic function a x^{2} +bx+c can either make U-shape or ∩-shape depends on the value of the constant a that goes with x^{2}. When a is (+), the curve is U-shape. When a (-), the curve is ∩-shape

Part C:

The symmetry line of the curve will pass through the vertex, hence the symmetry line is x=-7

This function is shown in the diagram below




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