This is what the graph looks like
Vertex form is basically commplete the square
y=a(x-h)^2+k
y=x^2+14x+4
take 1/2 of 14 and square it, (7^2=49)
add that and its negative to right side
y=x^2+14x+49-49+4
factor perfect squaer
y=(x+7)^2-49+4
y=(x+7)^2-45
answer is A
Multiply the weight in tonnes by the conversion factor ( 1 tonne = 1000 kg) to get the weight in kg's:
170 tonnes x 1000 = 170,000
Now convert to scientific notation, by moving the decimal point to have only 1 digit to the left of the decimal.
To do this, you would need to move the decimal 5 places to the left to get 1.70000
Now remove the 0's and multiply the number by 10 raised to the number of paces the decimal was moved to get:
1.7 x 10^5 kg's.
Answer:
I would say D. There is no logical explanation for the final answer but there is for everything else.
For A: Makes sense because 3x-2 are in parenthesis outside a number so you can multiply.
For B: Makes sense because you are allowed to add/subtract like terms but in this case only subtracting would make sense, (which is what they did) since you want to get all the like terms on one side.
For C: Makes sense because you are trying to simplify the equation, and they are both like terms (they are both numbers that have no letter attached to them) and they are on the opposite side making them able to be simplified.
For D: No idea what the point is.
