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natka813 [3]
4 years ago
5

The graph of the function is f(x)= x2 − 4x + 6 . What is its axis of symmetry?

Mathematics
1 answer:
lianna [129]4 years ago
8 0
To find the axis of symmetry you must first find the vertex of the parabola.  The formula for vertex is -b/2a.  So the vertex has a "x" coordinate at 4/2 or 2.  so the axis of symmetry is the vertical line x = 2
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27 + 5 x 6 A Little Problem With this so some help please?
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57

Step-by-step explanation:

1) According to PEMDAS, <em>multiply </em>first: 27+ 5x6= 27+30

2) Then <em>add</em>: 27+30=57

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3 years ago
Elena is making a grape drink. the recipe calls for 2 parts grape juice concentrate to 6 parts water. elena would like to make 8
SashulF [63]

Answer: 20 oz of juice concentrate and 60 oz of water.


Explanation:


Translate the word statements into algebraic expressions to set a system of equations that you can solve.


1) Name the variables:

  • j: parts of juice concentrate
  • w: parts of water

2) Statement one, 2 parts juice concentrate to 6 parts water, translates into a proportion:

    j / w = 2 / 6


3) Statement two, 80 oz of the drink, tanslates into an equality:

     j + w = 80

4) Solve the system to find how many oz of juice concentrate and water Elena needs:

a) System:

                 j / w = 2 / 6

                 j + w = 80

b) Solve for w in the first equation: w = 6j / 2 = 3j

c) Substitute w in the second equation: j + 3j = 80

d) Combine like terms: 4j = 80

e) Use division property of equality: j = 20

f) Substitue in w = 3j: 3 = 3(20) = 60.


5) Solution: j = 20, w = 60.


6) Verify:

  • j / w = 20 / 60 = 2 / 6 ⇒ right
  • j + w = 20 + 60 = 80 ⇒ right
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3 years ago
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