Step-by-step explanation:
Part A:
I'm going to assume you meant to write 6x^10 - 96x^2. Based off that assumption you can factor out 6 from both equations as well as x^2.
This is going to give you
. I
Part B:
if you look at the inside, both of the values are perfect squares (if the exponent is even, it's a perfect square). So the equation can further be rewritten using the difference of squares

If you look at the expression, you'll notice one of the equations can further be rewritten as the difference of squares (x^4 - 4).

The easiest way to do this is to convert both of the numbers to improper fractions. so 10 becomes 10/1 and 3 1/6 becomes 19/6. Then we multiply straight across so 10*19 is 190 and 1*6 is 6 and we get 190/6. This can be simplified to 95/3 which is 31 2/3. Hope this helps.
Answer:
guests.
Step-by-step explanation:
We have been given that there are 7/8 quarts of orange juice. Mrs. Mathewson would like to serve her guests 3/16 quarts orange juice.
To find the number of guests Mrs. Mathewson can serve with 7/8 quarts of juice, we will divide 7/8 by 3/16 as:

Convert to multiplication problem by flipping the 2nd fraction:




Therefore, Mrs. Mathewson can serve orange juice to
guests.
Answer:
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. y=6 is a straight line perpendicular to the y-axis at point (0,6) , which means that the range is a set of one value {6} .
Your answer is D because 10*2 is 20 and 6*2 is 12 so 12 out of the next 20 customers will purchase a sandwich.