Algebra Answers

Explain the topic families of functions
its an algebra2 topic

yes so my question is can you say me what went wrong with explanation with each step and give me correct answer.
thank you
a=b
a+a=a+b
2a=a+b
2a-2b=a+b-2b
2(a-b)=a+b-2b
2(a-b)=(a-b)
2=1

The zeros of a polynoimal function are given as x=3 and x=1/2. Which of the following expressions could represent the polynomial expression?
A. 2x^2+5x-3
B.2x^2-5x-3
C.2x^2-7x+3
D.2x^2+7x+3

Suppose that by midnight the vertex of the front has moved 250 miles south and 210 miles east of des Moines, maintaining the shape

Train A leaves Toronto headed toward Montreal at the same time that Train B leaves Montreal headed
for Toronto, traveling on parallel tracks. Train A travels at a constant speed of 125 km per hour. Train
B travels at a constant speed of 115 km per hour. The two stations are 540 kilometers apart, and the
trains do not stop between the two cities. How long after they leave their respective stations do the
trains meet?

The time t (in minutes) for which a turkey should be cooked in the oven is given by

t = 44m + 20

(a) Draw the graph of t for the values 0 < t < 8
(b) For how long should a turkey of mass 6.6 kg be cooked?
(c) A turkey was cooked for 2 hours and 25 mins, what was its mass?
(d) What are the masses of turkeys whose cooking times are between 4 and 5 hours?

"director" how many arrangements are possible where the vowels will not change their order?

to solve this problem i have been taught to assume the 3 vowels same letter and then to do permutations. so it is 8!/(3!*2!).

but my question is if i solve the problem like this
A) i will assume the three vowels 1 letter, then total number of letter is 6. and the permutation is 6!/2!. what's my mistake here.
if the question says that the vowels will stay together then i WOULD REPEAT THE A) MEANS PREVIOUS STEP AND THEN DO THE INDIVIDUAL ARRANGEMENT OF THE VOWELS WHICH IS 3! AND THE TOTAL NUMBER WOULD BE 3!*(6!/2!).

i have skipped just the last step to solve my main problem. so what's my mistake.please explain.

If a membership is $58 and the start up fee is $129 and I spent $651, for how many months is my membership?