A wholesale distributor of packaged nuts sells two different mixes of peanuts and cashews, mix A and mix B. Each package of mix
A nuts
contains 8 ounces (oz.) of peanuts and 4 oz. of cashews. Each package of mix B nuts contains 6 oz. of peanuts and 6 oz. of cashews. Let x
represent the number of packages of mix A nuts and let y represent the number of packages of mix B nuts. No more than 120 oz. of peanuts
and no more than 96 oz. of cashews can be used each day. Which graph represents the numbers of packages of mix A and mix B that can be
produced?
contains 8 ounces (oz.) of peanuts and 4 oz. of cashews. Each package of mix B nuts contains 6 oz. of peanuts and 6 oz. of cashews. Let x
represent the number of packages of mix A nuts and let y represent the number of packages of mix B nuts. No more than 120 oz. of peanuts
and no more than 96 oz. of cashews can be used each day. Which graph represents the numbers of packages of mix A and mix B that can be
produced?
1 answer:
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First of all we will group terms with common factors. We can see that and 2x have a common factor x. Common factor of -3x and -6 is -3.
Now we will factor out Greatest Common Factor from each group.
After factoring out GCF from each group we got (x+2) as our common binomial. Now we will write our polynomial as a product of two binomials as:
Therefore, our polynomial as a product of two binomials will be .