Answer:
The factors are: (3a+2b +ab-6)(3a+2b -ab+6)
Step-by-step explanation:
We need to solve the above expression using factorization.
Multiplying (a^2-4)(9-b^2)
9(a^2-4)-b^2(a^2-4) + 24ab
9a^2 -36 -a^2b^2+4b^2 + 24ab
Rearranging:
9a^2 + 4b^2 +24ab -36 -a^2b^2
We try to make perfect square of the form a^2+2ab-b^2
We have 24ab that can be written as 12ab + 12ab
Now, we can arrange the above equation:
9a^2 +12ab+ 4b^2 -(a^2b^2-12ab +36)
(3a)^2 +2(3a)(2b) + (2b)^2 -((ab)^2 -2(ab)(6)+(6)^2)
The perfect square will be:
(3a+2b)^2 - (ab-6)^2
Now We know a^2 - b^2 = (a+b)(a-b)
Here a = 3a+2b , b=ab-6
So,
(3a+2b +(ab-6))(3a+2b - (ab-6))
(3a+2b +ab-6)(3a+2b -ab+6)
So, the factors are: (3a+2b +ab-6)(3a+2b -ab+6)
Answer:
Boys - 36$ 33 cents
Girls - 72$ 67 cents
Step-by-step explanation:
Boys x
Girls 2x
Total 109
2x+x=109
3x=109/:3
X=36,3333
Boys x =36$ 33c
Girls 2x= 72,666= 72$ 67c
Answer:
Option A $29.46 is correct.
Step-by-step explanation:
Credit card's billing cycle = 31 days
To calculate the average daily balance we must add Carla's balance from each day in the billing cycle and divide by the number of days of the month.
( Total balance × days ) / number of days of the month
(2560 × 15) ÷31 = $1238.71
Her credit card's APR is 28% Therefore Carla charged
(1238.71 × 0.28 × 31) ÷ 365
10,752.0028 ÷ 365 = 29.4575 Rounded to $29.46
Carla charged in interest for the billing cycle is $29.46.
Answer:
2. B 3. A
Step-by-step explanation:
B= Number of biscuits Kat can buy.
you do 25-11=14
then 14 divided by 1.75b
that gets you
Find what the whole line is equal to then take 6.5 and subtract it from the whole thing
