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andre [41]
2 years ago
11

What expressions are equivalent to 4x + 12?

Mathematics
2 answers:
steposvetlana [31]2 years ago
8 0

Answer:

8x + 96

2x + 6 are two equivalent

gregori [183]2 years ago
4 0

Question: what expressions are equivalent to 4x + 12?

Answer:  4(x + 3)   or   2(2x + 6)

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Bought a board game for $30. The board game is now worth $55. Calculate the percent change in the game's value.
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You invest $4000 in an account at 6.5% per year simple interest. How much will you have in the account at the beginning of the 9
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8 0
3 years ago
Let x^2+15x=49
Slav-nsk [51]
<span>x^2 + 15x + 56.25 = 105.25

    "Completing the square" is one of many different techniques for solving a quadratic equation. What you do is add a constant to both sides of the equation such that the lefthand side can be factored into the form a(x+d)^2. For instance, squaring (X+D) = X^2 + 2DX + D^2. Notice the 2DX term. That is the same term as the 15x term in the problem. So 2D = 15, D = 7.5. And D^2 = 7.5^2 = 56.25.
So we have
 x^2 + 15x + 56.25 = 49 + 56.25
 Which is
 x^2 + 15x + 56.25 = 105.25
  Which is the answer desired.

   Now the rest of this is going beyond the answer. Namely, it's answering the question "Why does complementing the square help?" Well, we know that the left hand side of the equation can now be written as
 (x+7.5)^2 = 105.25

   Now take the square root of each side
 (x+7.5) = sqrt(105.25)

   And let's use both the positive and negative square roots.
So x+7.5 = 10.25914226
 and
 x+7.5 = -10.25914226

   And let's find X.
 x+7.5 = 10.25914226
 x = 2.759142264

   x+7.5 = -10.25914226
 x = -17.75914226

   So the roots for x^2 + 15x - 49 is 2.759142264, and -17.75914226</span>
3 0
3 years ago
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