Answer: $21.25
Step-by-step explanation:
Given
Lynnette purchased 2.5 Pounds of blent, which costs $8.50 per pound
total cost is the Product of the amount of blend and rate of coffee blend

So, coffee beans cost $21.25
The denominator of a fraction cannot be zero.Therefore in h(x) = f(x)/g(x), g(x) cannot equal zero, x + 6 cannot equal zero, x cannot equal -6. The domain of h(x) is ℜ - {-6}.
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Divide f(x) over g(x). To simplify, factor everything as much as possible and cancel out any common terms. In this case "4x+3" is a common term that shows up in the numerator and denominator.
(f/g)(x) = [ f(x) ]/[ g(x) ]
(f/g)(x) = (16x + 12)/(4x + 3)
(f/g)(x) = (4(4x+3))/(4x+3)
(f/g)(x) = 4
So the answer is choice C
A second degree polynomial function has the general form:

, where

.
The leading coefficient is a, so we have a=-1.
5 is a double root means that :
i) f(5)=0,
ii) the discriminant D is 0, where

.
Substituting x=5, we have
f(5)=a(5)^2+b(5)+c,
and since f(5)=0, and a is -1 we have:
0=-25+5b+c
thus c=25-5b.
By ii)

.
Substituting a with -1 and c with 25-5b we have:
Finally we find c: c=25-5b=25-50=-25
Thus the function is

Remark: It is also possible to solve the problem by considering the form

directly.
In general, if a quadratic function has leading coefficient a, and has a root r of multiplicity 2, then its form is