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Lelechka [254]
3 years ago
15

Emanuel has 12 trading cards and then buys some more cards at the store. His aunt joan him a package of six cards for his birthd

ay. He has a total of 48 cards. Let x = the number of cards he bought. This is modeled by the equations 48 = x + 18
a]. How does the equation accurately model the scenario?
b]. Solve 48 = * + 18
Mathematics
1 answer:
sveta [45]3 years ago
7 0
A) the equation accuretly models this scenario because Emanuel has a total of 48 cards. He bought some (X) and his aunt gave him 18. In order to find the number of cards he bought you set the number of cards he bought and the number of cards he got from his aunt equal to the number of cards he has. B) 48= X + 18 Subtract 18 over 30=X He bought 30 cards from the store. 48+ 30+18
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First simplify the right side.

9-4 = 5

Now you have x + 3 = 5

Now subtract 3 from both sides:

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Answer: x = 2

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Answer:

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Step-by-step explanation:

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3 (pi) * (\frac{26}{2})^2 (radius squared)

Without annotations: 3*\frac{26}{2}^2

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2 years ago
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vlabodo [156]

Explanation:

Conversion of a quadratic equation from standard form to vertex form is done by completing the square method.

Assume the quadratic equation to be \mathbf{ax^{2}+bx+c=0} where x is the variable.

Completing the square method is as follows:

  1. send the constant term to other side of equal                 \mathbf{ax^{2}+bx=-c}
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  3. add \mathbf{(\frac{b}{2a})^{2}} to both side of equality                                   \mathbf{x^{2}+2\times\frac{b}{2a}x+\frac{b}{2a}^{2}=-\frac{c}{a}+\frac{b}{2a}^{2}}
  4. Make one fraction on the right side and compress the expression on the left side                                                                          \mathbf{(x+\frac{b}{2a})^{2}=\frac{b^{2}-4ac}{4a^{2}}}
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Follow the above procedure will give the vertex form.

(NOTE : you must know that \mathbf{(x+a)^{2}=x^{2}+2ax+a^{2}}. Use this equation in transforming the equation from step 3 to step 4)

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Answer:

Step-by-step explanation:

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