The expanded algorithm is given as follows:
4 x 57 = (4 x 50) + (4 x 7) = 200 + 28 = 228
The standard algorithm is given as follows:
You need to divide the two numbers. 15/3 = 5
For every 5 days you do 1 job
5:1
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:
A. 10 bricks
B. 4 pounds
Step-by-step explanation:
Water = 39 pounds
brick dust = 48 pounds
Total mixture = water + brick dust
= 39 + 48
= 87 pounds
She spills 13 pounds of the mixture while stirring
Remaining mixture = Total mixture - Spillage
= 87 pounds - 13 pounds
= 74 pounds
The mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of mixture
Number of bricks made = Remaining mixture / pounds per brick
= 74 pounds / 7 pounds
= 10 bricks remaining 4 pounds of the mixture
A. What is the greatest number of bricks Lynn can make?
10 bricks
B. How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest number of bricks?
4 pounds