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Ira Lisetskai [31]

3 years ago

5

Amy raises $ 58.75 to participate in a walk-a-thon. Jeremery raises $ 23.25 more then Amy. Oscar raises three times as much as J

eremey. How much money does Oscar raise?

2 answers:

SVETLANKA909090 [29]3 years ago

7 0

Oscar raises $246.
Add Jeremy's amount to Amy's and then multiply by 3

Klio2033 [76]3 years ago

3 0

Oscar raises $69.75 because $23.25 multiplied by 3 equals $69.75.

Hope that helped:)

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Answer:

First image attached

The error was done in Step E, because student did not multiply $2\cdot x -8$ by the negative sign in numerator. Step E must be $\frac{2\cdot x -5}{(x+4)\cdot (x-4)}$ .

Second image attached

The error was done in Step C, because the student omitted the $2\cdot a \cdot b$ of the algebraic identity $(a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}$ . Step C must be $5\cdot x = x^{2}+4\cdot x + 4$

Step-by-step explanation:

First image attached

The error was done in Step E, because student did not multiply $2\cdot x -8$ by the negative sign in numerator. The real numerator in Step E should be:

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Hence, Step E must be $\frac{2\cdot x -5}{(x+4)\cdot (x-4)}$ .

Second image attached

The error was done in Step C, because the student omitted the $2\cdot a \cdot b$ of the algebraic identity $(a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}$ . Step C must be $5\cdot x = x^{2}+4\cdot x + 4$

And further steps are described below:

Step D

$x^{2}-x+4 = 0$

Which according to the Quadratic Formula, represents a polynomial with complex roots. That is: ( $a = 1$ , $b = -1$ , $c = 4$ )

$D = b^{2}-4\cdot a\cdot c$

$D = (-1)-4\cdot (1)\cdot (4)$

$D = -17$ (Conjugated complex roots)

Step E

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Step F

$x = 0.5+i\,1.936\,\lor\,x = 0.5-i\,1.936$

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