Yes it's a function, because for each input of x value, we have exactly an output of y-value
1. write 1/2 and 1/3 as fractions with a common denominator.
the common denominator must be a multiple of both 2 and 3, for example 6, 12, 24 etc...
let the common denominator be 24
(1/2)(12/12)=12/24
(1/3)(8/8)=8/24
2. so , 9/24, 10/24, 11/24 are all fractions between 1/2 and 1/3
Step-by-step explanation:
Make sure the bottom line of the angle points to 0. Then slowly go up until the other line hits a number. In this case, it's 40 degrees
Answer:
The solution to the equation is:
Option c. b=0 and b=4
Step-by-step explanation:
5 / (3b^3-2b^2-5) = 2 / (b^3-2)
Cross multiplication:
5(b^3-2)=2(3b^3-2b^2-5)
Applying distributive property both sides of the equation to eliminate the parentheses:
5(b^3)-5(2)=2(3b^3)-2(2b^2)-2(5)
Multiplying:
5b^3-10=6b^3-4b^2-10
Passing all the terms to the right side of the equation: Subtracting 5b^3 and adding 6 both sides of the equation:
5b^3-10-5b^3+10=6b^3-4b^2-10-5b^3+10
Adding like terms:
0=b^3-4b^2
b^3-4b^2=0
Getting common factor b^2 on the left side of the equation:
b^2 (b^3/b^2-4b^2/b^2)=0
b^2 (b-4) = 0
Two solutions:
(1) b^2=0
Solving for b: Square root both sides of the equation:
sqrt(b^2)=sqrt(0)
Square root:
b=0
(2) b-4=0
Solving for b: Adding 4 both sides of the equation:
b-4+4=0+4
Adding like terms:
b=4
The solution of the equation is: b=0 and b=4 (Option c)
The option is the 3rd bubble
