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Art [367]
3 years ago
14

The function f(x) is a quadratic function and a limited table of values is provided below. Write the equation of the quadratic p

olynomial in standard form.

Mathematics
1 answer:
OverLord2011 [107]3 years ago
4 0

Answer:

  f(x) = 3x^2 -21x +36

Step-by-step explanation:

The table gives the x- and y-intercepts, which are sufficient to write the equation in factored form. The x-intercepts of 3 and 4 tell you that factors are (x -3)(x -4). When x=0, this product is (-3)(-4) = 12, but the y-intercept value is 3 times that: 36. So, the factored equation is ...

  f(x) = 3(x -3)(x -4)

Multiplying this out, we get ...

  f(x) = 3(x^2 -7x +12)

  f(x) = 3x^2 -21x +36

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Step-by-step explanation:

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3 years ago
Algebra identify the pattern. Then write the next three terms in each sequence. 63,58,53,48.....
vovikov84 [41]

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Step-by-step explanation:

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Can someone please answer this<br><br> - (6m + 7) -6 (-7 - m) = 35
jasenka [17]

Answer:

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Step-by-step explanation:

-(6m+7)-6(-7-m)=35

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5 0
2 years ago
What value of b makes the trinomial below a perfect square x^2-bx+100
Aloiza [94]
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3. Thus x^{2} +2x+1, 9x^{2}-6x+1 are perfect square trinomials.

4. x^{2} -bx+100= x^{2} -bx+ 10^{2}= (x+10)^{2}   or  (x-10)^{2}

5. In the first case -b=20, so b=-20. In the second case, -b=-20, so b=20.

6. b∈{-20, 20}
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3 years ago
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