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joja [24]
4 years ago
10

The partial factorization of x2 – x – 12 is modeled with algebra tiles.Which unit tiles are needed to complete the factorization

?
Mathematics
2 answers:
S_A_V [24]4 years ago
3 0
Please write that as x^2 - x - 12 (the "^" symbol denotes exponentiation).

x^2 - x - 12 factors to (x + 3)(x - 4),  Check this by multiplication:

x^2 + 3x - 4x - 12 = x^2 - x - 12 (OK).
astra-53 [7]4 years ago
3 0

Answer: The unit of tiles that are needed to complete the factorization are

(x-4)(x+3)

Step-by-step explanation:

Since we have given that

x^2-x-12=0

We need to factorise the above quadratic equation:

We use "Split the middle term":

x^2-x-12=0\\\\x^2-4x+3x-12=0\\\\x(x-4)+3(x-4)=0\\\\(x-4)(x+3)=0

Hence, the unit of tiles that are needed to complete the factorization are

(x-4)(x+3)

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She will earn <u>$442.89</u> in one week after the changes.

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Alondra received a 14% hourly raise, but the number of hours worked decreased by 7.5%. If her wage was $10.50 an hour and she worked 40 hours per week before the changes.

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Thus, the salary per week before changes is $420.

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<u>Salary after hourly raise = $11.97 per hour.</u>

Then, to get the number of hours worked decreased by 7.5%:

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<u>Number of hours per week after hours of worked decreased  = 37 hours.</u>

Now, to get the salary after changes:

<em>Salary after hourly raise × number of hours per week after hours of worked decreased</em>

=11.97\times 37

=\$442.89.

<u>Salary after changes in one week = $442.89.</u>

<u><em>As, the previous salary was $420 in one week. </em></u>

<u><em>And after changes this salary is $442.89 in one week which is more than previous. </em></u>

Therefore, she will earn $442.89 in one week after the changes.

And this is more than her previous weekly earnings.

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