Answer:
505/19
Step-by-step explanation:
Easy
so [3^3-(1/2)^(-3)*(1/19)]
simplify
3^3-8/19
3^3=27
27-8/19
convert element to fraction
(27*19)/19-8/19
combine
(27*19-8)/19
505/19
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Answer:
Average rate of change = 2
Step-by-step explanation:
We need to find the average rate of change of f(x) over the interval [-4,-1], so first we need to find the end points at x=-4 and x=-1.
From graph we see that y=-3 when x=-4, So the point is (-4,-3)
From graph we see that y=3 when x=-1, So the point is (-1,3)
Now we can plug these points into average rate of change formula:

where (a,f(a)) and (b,f(b)) are the given points.




Hence final answer is 2.
Answer: There are 13 slices when Dario cuts .
Explanation :
Since we have given that
Quantity of parmesan cheese is given by

Quantity of ricotta cheese is given by

Quantity of mozzarella cheese is given by

Now, total quantity of cheese Dario have

Now,
According to question, Dario cuts the lasagna into several equal slices and each containing exactly

So,
Number of slices is given by

Hence, there are 13 slices when Dario cuts .
[ 1 - 4]
= 1- 4
= 1 + - 4
= - 3
+ [ - 2 6]
= - 12
[ 3 5][ - 2 4]
(3)(5)(( - 2)(4))
= 15(( - 2)(4))
= (15)( - 8 )
= - 120