Answer:
Step-by-step explanation:
16^3 - 8^3
Take out 8^3 as a common factor.
16^3 = 2^3 * 8^3
8^3(2^3 - 1)
8^3(8 - 1) = 8^3 * 7
(4^3 + 2^3) Expand
64 + 8 Combine
72
72 = 9 * 8
Conclusion
(8*3 * 7 )(9*8)
7*9 = 63
So any number containing 63 will divide into the reduced form of
(16^3–8^3)(4^3 +2^3)
Vertex form is
where (h,k) is the vertex.
We can see that the vertex of the graph is at (2,0), and that the graph opens downwards, but does not look stretched at all.
Therefore,
a = -1
h = 2
k = 0
and our vertex form equation is
which is answer A
Answer:
the price of each soda is $1.75
Step-by-step explanation:
Notice that there are two unknowns; the price of each soda (let's assign the letter "s" to it), and the price of the basket of fries 9let's assign the letter "b" to it)
We can then write two equations using the information on the total price for each order:
(a) 4 s + 4 b = 16
(b) 4 s + 3 b = 13.75
we can now subtract term by term equation (b) from equation (a), and obtain:
4 s - 4 s + 4 b - 3 b = 16 - 13.75
0 + b = 2.25
So now that we know the price of each basket of fries ($ 2.25) , we can use that info in either equation and solve for "s". Let's use equation (a) for example:
4 s + 4 (2.25) = 16
4 s + 9 = 16
4 s = 16 - 9
4 s = 7
s = 7/4
s = 1.75
So, the price of each soda is $1.75
Answer:
(5x^2+10x+1
)/x
Step-by-step explanation:
=(x/x)+9+5x+(1/x)
=(5x^2+10x+1
)/x
Answer:
5x-4
Step-by-step explanation:
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