The vertex is at (2, 5).
To find the vertex, we first find the axis of symmetry; this is given by
x = -b/2a
For our equation, b = -16 and a = 4:
x = -(-16)/2(4) = 16/8 = 2
We substitute this back into our equation:
y = 4(2)² - 16(2) + 21 = 4(4) - 32 + 21 = 5
Therefore the vertex is at (2, 5).
Answer: So, if it just magically doubles every 20 days, and its only been 15 days, then it would've started with 42, but I'm not sure since I can't see the original problem
Step-by-step explanation:
Answer:
yes because the hours to distance is moving at a constant rate and if you were to graph it, it would also go through the origin
Step-by-step explanation:
Answer:
All three operations lead to polynomials.
See explanations below.
Step-by-step explanation:
Polynomial a = 
Polynomial b = 
Therefore:
a + b = 
where we have combined all like terms. This is clearly another polynomial (of grade 2)
a - b (here we need to flip all signs inside the parenthesis when we remove this grouping symbol):
which is clearly another polynomial (but of grade 3)
a * b : (here we use distributive property to multiply each term of the first polynomial by each term of the second one, and then combine like terms)
which is indeed another polynomial (this time of grade 6)
Each person received one quarter, which can be written as 1/4 or 0.25.
