Answer:
1. Original amount of bicycle and helmet = $56.
2. Amount of money earned by the friend = $28.
Step-by-step explanation:
We are told that my friend sells me a bicycle for $63 and a helmet for $21 . The total cost is 150% of what my friend spent originally.
1. Let x be the original price of bicycle and helmet spent by my friend.
Amount spent by me on both helmet and bicycle will be . We need to find x such that 150% of x equals 84. We can set this information in an equation as:
Therefore, my friend spent $56 on bicycle and helmet originally.
2. To find the amount of money earned by friend we will subtract amount spent by friend originally from amount spent by me on both items.
Therefore, my friend earned an amount of $28 by selling the bicycle and helmet to me.
Pull an x from the first two terms
x(x^3 + y^3) + (x^3 + y^3) Now x^3 + y^3 is a common factor.
(x^3 + y^3)*(x + 1) That should be far enough. It can be factored further by factoring (x^3 + y^3) but there is no point because you can't do anything after that. But in case you want to know how x^3 + y^3 factors
(x^3 + y^3) = (x + y)(x^2 - xy + y^2)
Which means you could write original polynomial as
(x + y)(x^2 - xy + y^2)(x + 1)
Part B
You factored the x out of xy^3 so that you would have a common factor (x^3 + y^3) to pull out as a common factor for the whole polynomial.
Answer:
2) d
3) c
4) d
Step-by-step explanation:
2- the coefficient of the leading term (the x that has the highest degree) need to be + which is only found in d
so the answer is d
3- I just graphed the equations and then looked whether or not they have an axis of symmetry at x=1
a does have an axis of symmetry at x=1
b does have an axis of symmetry at x=1
c does not have an axis of symmetry at x=1
d does have an axis of symmetry at x=1
so the answer is c
4-
a is wrong bc the the coefficient of the leading term is - so it will open downward.
b is wrong bc it's vertex is actually equal to (2,50)
c is wrong bc it's axis of symmetry is actually equal to x=2
d is correct bc since the graph is opening downward it will have a max point
so the answer is d