Answer:
672.
Step-by-step explanation:
First find the prime factors:
112 = 2*2*2*2*7
96 = 2*2*2*2*2*3
There are 4 pairs of duplicate 2 's in the factors, so the LCM = 2*2*2*2*2*3*7
= 672 (answer).
Note: the duplicates only appear once in the calculation of the LCM.
Answer:0.03
Step-by-step explanation:
Rectangular implies the area to be length times height
let height=x
let width=2 more than the height or Length=2+x
Area=F(x)=(2+x)(x)=2x+x^2
f(x)=x^2+2x
****************To Answer your Additional question
You see the standard price is $100 for any mural, And also charges $40 per square foot.
So to show you the approach, Lets say that a mural of 1 square feet needs to be painted, then the charge will be $100 plus the $40 for every square feet, then it will be 100+40(1 square feet)=$140.
The problem asks for the charge of mural whose area is x, so lets do the same thing.
$100+40(x square feet)=100+40x and that is the function that gives the price of mural with an area of x.
so, g(x)=100+40x
There are 9 choices for the first digit: {0, 1, 2, 3, 4, 5, 7, 8, 9}
There are 10 choices for the second digit: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
There are 10 choices for the third digit: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
There are 5 choices for the fourth digit: {0, 2, 4, 6, 8}
Multiply the number of choices per digit to get: 9*10*10*5 = 90*50 = 4500
Answer: 4500
