hi i would really appreciate some help solving this question simultaneously:

Find A and B such that
x-11/(x+3)(2x-1)= A/x+3 + B/2x-1

Multiply both sides by (x+3)(2x-1) to get rid of the fractions.

We end up with this:

(x-11) = A(2x-1) + B(x+3)

You can solve for A and B more easily now.

I hope this helps and is what the problem was asking.

how can estimation help you deside if the exact product for 7 times $74.65 is greater or less than $600?

To estimate whether the exact product of 7 times $74.65 is greater or less than $600, you can round the numbers involved and perform a quick calculation.

First, let's round $74.65 to the nearest whole number, which is $75. Then, multiply $75 by 7: 75 x 7 = 525.

Since 525 is less than 600, we can estimate that the exact product of 7 times $74.65 is less than $600.

Estimation is a useful tool to quickly assess the magnitude or general size of a value without having to perform precise calculations. However, keep in mind that estimation provides an approximation and may not be completely accurate.