<u>Question 8</u>
a^2 + 7a + 12
= (a+3)(a+4)
When factorising a quadratic, the product of the two factors should equal the constant term (12), and the sum of the two factors should equal the linear term (7). To find the two factors, list out the factors of 12 (1x12, 2x6, 3x4) and identify the pair that adds up to 7 (3+4).
An alternative method if you get stuck during your exam would be to solve it algebraically using the quadratic formula and then write it in the factorised form.
a = (-7 +or- sqrt(7^2 - 4(1)(12)) / 2(1)
= (-7 +or- sqrt(1))/2
= -3 or -4
These factors are the negative of the values that would go in the brackets when written in factorised form, as when a = -3 the factor (a+3) would equal 0. (If it were positive 3 instead, then in the factorised form it would be a-3).
<u>Question 10</u>
-3(x - y)/9 + (4x - 7y)/2 - (x + y)/18
Rewrite each fraction with a common denominator so you can combine the fractions into one.
= -6(x - y)/18 + 9(4x - 7y)/18 - (x + y)/18
= (-6(x - y) + 9(4x - 7y) - (x + y)) /18
Expand the brackets and collect like terms.
= (-6x + 6y + 36x - 63y - x - y)/18
= (29x - 58y)/18
= 29/18 x - 29/9 y
<span>There are 52 weeks in a year. Being paid biweekly means being paid every other week, or 26 times a year.
$567.20 * 26
There are 12 months in a year. If Mary is paid semimonthly, she is paid twice a month, or 24 times a year.
$56,780 / 24</span>
Answer:
-3,694
I am not sure what in the world the rest means, so I am very sorry. I just subtracted some stuff. I have no clue if that helped...
Answer:
20.508%
Step-by-step explanation:
1/2 chance for one free throw.
1/2*4/10=4/20=1/5
Therefore, 20.508%
I think you meant to say "relation" instead of "rebellion"? I'm not sure. Anyways, all you're looking for is the table with the x values -6, -4, -3, -1 which pair up with the y values 4, 0, 2, 2 in that exact order.
Table B does this exactly. The first row represents x = -6, y = 4. The second row represents x = -4, y = 0. The third row represents x = -3, y = 2. The fourth row represents x = -1, y = 2.
Answer: Choice B
