25 point for this question:

for which values of a and b the following is true for any real number x?

The values of a and b are and respectively.

Step-by-step explanation:

Given that

We solve this by partial fraction method.

Taking L.C.M. in the RHS, we get

To find the value of 'b', substitute x = 2. This would make 'a' vanish leaving an equation with 'b'.

Therefore, 2 - 4 = a(2 - 2) + b(2 + 9)

⇒ -2 = 0 + b(11)

Similarly, substitute x = -9 to find the value of 'a'.

⇒ -9 - 4 = a(7) + b(0)

.

Therefore, the values of 'a' and 'b'b are: =-13/7 and -2/11 respectively.

the best buy, is the 4- kilogram bag of lollipops for $18.40.

step-by-step explanation:

i found my answer by dividing the cost of each bag by their respective weights.

14.88 divided by 2 = 7.44

17.29 divided by 3 = 5.77

18.4 divided by 4 = 4.6

24.4 divided by 5 = 4.88

by this, i found that the 4 kilo bag is the best buy.

answer: its the third option.

step-by-step explanation:

i just took the test.