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ira [324]
3 years ago
6

Please help I don’t understand

Mathematics
1 answer:
lesya [120]3 years ago
7 0

Answer:

  • 2·8·7
  • 8+2+7
  • 12·5·3
  • 3+5+12

Step-by-step explanation:

The properties of addition and multiplication allow you to rearrange and/or regroup the components of a sum or a product. That is the point of this exercise.

  (2·8)·7 = 2·(8·7) . . . . parentheses have moved: associative property

  2 + 7 + 8 = 8 + 2 + 7 . . . . order is rearranged: commutative property

  5·3·12 = 12·5·3  . . . . .  order is rearranged: commutative property

  (3 +5) +12 = 3 +(5 +12) . . . . parentheses have moved: associative property

_____

<em>Additional comment</em>

Whenever you're in doubt about the equivalence of numerical expressions, you can use your calculator to evaluate them. They will give the same result if they are equivalent. (You need a good scientific or graphing calculator that uses parentheses for this. Some seriously good calculators are available as low-cost phone apps.)

The Google search box also serves as input to the Google calculator. You can use an asterisk (*) for multiplication.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

<u>Determine the value of c:</u>

y=ax²+bx+c

2=a(0)²+b(0)+c

2=c

<u>Substitute (1,0) into the quadratic and create an equation with a and b:</u>

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<u>Do the same with (3,10) to get a second equation:</u>

y=ax²+bx+2

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<u>Set the two equations equal to each other and solve for a and b:</u>

-2=a+b

8=9a+3b

<u>Multiply first equation by 3 and eliminate b to find a:</u>

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- (8=9a+3b)

_______

-14=-6a

14/6=a

7/3=a

<u>Substitute 7/3=a into the first equation:</u>

-2=7/3+b

-2-(7/3)=b

-13/3=b

<u>Final equation:</u>

y=7/3x²-13/3x+2

See the graph for a visual representation

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