Answer:
g(x) exceed f(x) by
when 
Step-by-step explanation:
step 1
Find the equation of function f(x)
we know that
The initial value is the y-intercept of the linear function (value of y when the value of x is equal to zero)
so

The rate of change is equal to the slope
so

therefore

step 2
Find the equation of function g(x)
Let

Find the slope

----> point A
therefore

step 3
Find the value of f(x) and g(x) for 


Find the difference

Answer:
6ab
Step-by-step explanation:
3*2*a*b=6*ab=6ab
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The answer is Elena could make 3 loaves of banana bread and 2 loaves of nut bread to maximize her profit
Answer:
A bag of pop corn costs $8, and each Pretzel costs $4.25.
Step-by-step explanation:
Let
be the price of popcorn, and
the price of Pretzels. If the girl bought 2 bags of popcorn and 5 Pretzels and it cost her $37.25, we have the equation
<em>(this says that the cost of 2 popcorn bags plus 5 pretzels equals $37.25)</em> .
And, since Zoe bought 8 popcorn bags and 9 Pretzels with a total price of $102.25, we get the equation
<em> (this says that the cost of 8 popcorn bags plus 9 Pretzels equals $102.25).</em>
Thus, we have two equations
1. 
2. 
and we solve them by first multiplying equation (1) by 4:
,
and then subtracting it from equation (2):

Now we put this value of
into equation (1) and get:

and we solve for
to get:


Therefore, a bag of popcorn costs $8, and each Pretzel costs $4.25.