f(x) has vertex = (- 1, - 5 ) and is a minimum
g(x) has vertex = (2, 3 ) and is a maximum
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
f(x) = (x + 1)² - 5 is in this form with vertex = (- 1, - 5 ) and minimum
to determine if maximum/ minimum
• if a > 0 then minimum
• if a < 0 then maximum
g(x) = - (x - 2)² + 3 is also in vertex form with a < 0
vertex = (2, 3 ) and is a maximum
We have the equations: l = 2b and 2l + 2b = 228;
Then, 4b + 2b = 228;
6b = 228;
b = 228/6;
b = 38 (breadth);
l = 2·38;
l = 76 (length);
Okay, so you need at least $100 in your account to avoid the fee.
You currently have $247.
And you also take out $20, every week.
So first, work out the maximum amount of money you can take out before reaching the limit. (247 - 100 = 147).
Now that we know you can take out $147 max, you just need to divide it by $20, because that's how much you take out every week. (147 ÷ 20 = 7.35 weeks.) But of course, the question is asking for the answer in weeks, so you round the answer down to 7 weeks.
You can last 7 weeks by taking out $20 every week from your $247 balance to avoid the low balance fee.
ANSWER
(-∞,+∞)
EXPLANATION
The given polynomial function is:
The domain refers to all values of x that make the function defined.
Polynomial functions are defined for all real values of x
The domain is the set of all real numbers.
This is written in symbolic representation as
(-∞,+∞)
