Answer:
the price before taxes was $18,229.13
Step-by-step explanation:
Answer:C
Step-by-step explanation:
(x+y)^10=x^10+10x^9y+45x^8y^2+120x^7y^3+210x^6y^4+252x^5y^5+210x^4y^6+120x^3y^7+45x^2y^8+10xy^9+y^10
Therefore they coefficient of x^5y^5 is 252
Your answer is D. 16x² - 56xy + 49y².
A perfect square trinomial is the result of a squared binomial, like (a + b)². Using this example, the perfect square trinomial would be a² + 2ab + b², as that is what you get when you expand the brackets.
Therefore, to determine which of these is a perfect square trinomial, we have to see if it can be factorised into the form (a + b)².
I did this by first square rooting the 16x² and 49y² to get 4x and 7y as our two terms in the brackets. We automatically know the answer isn't A or B as you cannot have a negative square number.
Now that we know the brackets are (4x + 7y)², we can expand to find out what the middle term is, so:
(4x + 7y)(4x + 7y)
= 16x² + (7y × 4x) + (7y × 4x) + 49y²
= 16x² + 28xy + 28xy + 49y²
= 16x² + 56xy + 49y².
So we know that the middle number is 56xy. Now we assumed that it was (4x + 7y)², but the same 16x² and 49y² can also be formed by (4x - 7y)², and expanding this bracket turns the +56xy into -56xy, forming option D, 16x² - 56xy + 49y².
I hope this helps!
Answer:
0.036
Step-by-step explanation:
Answer:
25.5
Step-by-step explanation:
First, make 2 5/6 into an improper fraction:
17/6
Then divide it by 4 to get the unit rate of spoons of chocolate syrup per 1/6 gallon:
17/6 / 4= 4 1/4 or 4.25 <------ Unit rate
Then multiply it by 6:
4.25*6= 25.5
Hope this helps!