Ans(a):
Given function is 
we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0
so let's solve
x+4≠0 for x
x≠0-4
x≠-4
Hence at x=4, function can't have solution.
Ans(b):
We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)
so we get:
g(x)=f(x)+4
We may simplify this equation but that is not compulsory.
Comparision:
Graph of g(x) will be just 4 unit upward than graph of f(x).
Ans(c):
To find value of x when g(x)=8, just plug g(x)=8 in previous equation
4x-3x=-1-16
x=-17
Hence final answer is x=-17
Answer:
d
Step-by-step explanation:
if you tried to do the d you would end up with this
/_)
Answer:
C = π(6)
C = 6π
C = 18.84
Step-by-step explanation:
The circumference is the distance around the circle. It relates the number of times the diameter will encircle the circumference as 3.14 or π. As a result, the formulas for the circumference of a circle are C = 2πr or C = πd. The information given is the diameter so use C = πd by substituting d = 6.
C = π(6)
C = 6π
C = 18.84
Use a calculator like calculator soup or symbolab
First, divide 240 by 18 to find how many times 18 goes into 240
240/18=14 (rounded up from the original 13.3 repeating decimal because it has to do with people and you cant have a partial human and there is more than .0 there)
then multiply the number of people who do get pizza by that number
12*14=168
