Answer:
Step-by-step explain
Find the horizontal asymptote for f(x)=(3x^2-1)/(2x-1) :
A rational function will have a horizontal asymptote of y=0 if the degree of the numerator is less than the degree of the denominator. It will have a horizontal asymptote of y=a_n/b_n if the degree of the numerator is the same as the degree of the denominator (where a_n,b_n are the leading coefficients of the numerator and denominator respectively when both are in standard form.)
If a rational function has a numerator of greater degree than the denominator, there will be no horizontal asymptote. However, if the degrees are 1 apart, there will be an oblique (slant) asymptote.
For the given function, there is no horizontal asymptote.
We can find the slant asymptote by using long division:
(3x^2-1)/(2x-1)=(2x-1)(3/2x+3/4-(1/4)/(2x-1))
The slant asymptote is y=3/2x+3/4
The commutative property of multiplication states that the numbers can be multiplied in any order.
a+b = b+a : Commutative property of addition
a*b = b*a : Commutative property of multiplication
a+0=a : Additive identity property
a*1 =a : Multiplicative identity property
Answer : a*b =b*a
Answer:
1. Write the addition of "a", "b" and "c".
2. The equation is: 
Step-by-step explanation:
You know that <em>P</em> represents the perimeter of the triangle and <em>a, b </em>and <em>c </em>represent the sides of the triangle.
By definition, the sum is the result of an addition. Therefore, the statement "The perimeter <em>P</em> of a triangle is equal to the sum of the lengths of sides <em>a, b</em>, and <em>c</em>”, indicates that the perimeter is obtained by adding the lengths of the sides of the triangle.
Knowing this, you can write the following equation:
Answer:x=8
Step-by-step explanation:
3×4 = 12 so 2×4 = 8
Answer:
10.8 minutes
Step-by-step explanation:
Given data
We are told that the number of Jugs is 18
Filling the first 3 jugs has taken 5 minutes
let us find the filling rate
Rate= 3/5
Rate= 0.6 Jugs per minute
Hence the rate of filling is 0.6 Jugs per minute
Therefore the time take to fill the remaining 16 jugs is
TIme= Rate*Number of Jugs
TIme= 0.6*18
Time= 10.8 minutes
