Answer:
Only the given table represents a function. Option 1 is correct.
Step-by-step explanation:
A relation is called a function, if there exist a unique value of y for each value of x. It means for each input there exist a unique output.
A function is always a relation but all relations are not function.
In the given table for each value of x, we have unique value of y, therefore the given table represents a function.
In second relation, at x=-2, the values of y are y=10 and y=-7. For single x, there are more than one value of y, therefore the second relation is not a function.
In third relation, at x=6, the values of y are y=-2 and y=1. For single x, there are more than one value of y, therefore the third relation is not a function.
Answer:
The correct answer is: 3x² (4x - 1) / (x - 4) (x - 3) ∧ restriction x ≠ 3, x ≠ 4, x ≠ 0 and x ≠ 1/4
Step-by-step explanation:
Given:
((16x² - 8x + 1) / (x² - 7x + 12)) : ((20x² - 5x) / 15x³) =
dividing with one fraction is the same as multiplying with its reciprocal value
((16x² - 8x + 1) / (x² - 7x + 12)) · (15x³ / (20x² - 5x))
First we need to factorize both numerators and denominators
16x² - 8x + 1 = (4x - 1)² This is square binomial
x² - 7x + 12 = x² - 4x - 3x + 12 = x (x - 4) - 3 (x - 4) = (x - 4) ( x - 3)
20x² - 5x = 5x (4x - 1)
(4x - 1)² / (x - 4) (x - 3) · 15x³ / 5x (4x - 1)
The existence of this rational algebraic expression is possible only if it is:
x - 4 ≠ 0 and x - 3 ≠ 0 and x ≠ 0 and 4x - 1 ≠ 0 =>
x ≠ 4 and x ≠ 3 and x ≠ 0 and x ≠ 1/4 This is restriction
Finally we have:
3 x² (4x - 1) / (x - 4) (x - 3)
God with you!!!
The answer is: 98
Cause is you add everything you will get that
Answer:
The slinky situation
Step-by-step explanation:
To make a rate, divide one value by the other.
For the short bungee,
6 inches ÷ 3 pound = 2 inches per pound
While the slinky,
36 inches (remember to convert feet to inches) ÷ 1 pound = 36 inches per pound
As you can tell by the numbers, 36 inches per pound is way better than the 2 inches per pound.
Answer:i think 2
Step-by-step explanation: 2*2=4