Answer:
a)
b)
Step-by-step explanation:
From the question we are told that
The Function
Generally the differentiation of function f(x) is mathematically solved as
Therefore
Generally critical point is given as
Generally the maximum and minimum x value for critical point is mathematically solved as
Where
Maximum value of x
Minimum value of x
Therefore interval of increase is mathematically given by
Therefore interval of decrease is mathematically given by
Generally the second differentiation of function f(x) is mathematically solved as
Generally the point of inflection is mathematically solved as
Therefore inflection points is given as
a)Generally the concave upward interval X is mathematically given as
b)Generally the concave downward interval Y is mathematically given as
I believe what the problem means is that the height of the child, if he/she grows in height, the mesurements are equal to 1 ft, 2 ft, 3 ft, 4 ft, etc only. and no decimals or fractions in between. it is also said that a human stops growing at the age of 20 naturally, hence with this increment, a child can grow incredibly very tall.
Multiply both sides of the second equation by 100 to get rid of the decimals:
0.05<em>n</em> + 0.10<em>d</em> = 1.50
==> 5<em>n</em> + 10<em>d</em> = 150
Multiply both sides of the first equation by -5:
<em>n</em> + <em>d</em> = 21
==> -5<em>n</em> - 5<em>d</em> = -105
Add the two equations together:
(5<em>n</em> + 10<em>d</em>) + (-5<em>n</em> - 5<em>d</em>) = 150 + (-105)
Notice that the terms containing <em>n</em> get eliminated and we can solve for <em>d</em> :
(5<em>n</em> - 5<em>n</em>) + (10<em>d</em> - 5<em>d</em>) = 150 - 105
5<em>d</em> = 45
<em>d</em> = 45/5 = 9
Plug this into either original equation to solve for <em>n</em>. Doing this with the first equation is easiest:
<em>n</em> + 9 = 21
<em>n</em> = 21 - 9 = 12
So Donna used 12 nickels and 9 dimes.
Thats How you go from slope to to standard form
