Answer:
(a) 8
(b) 16
(c) 24
(d) The ratios are the same
Step-by-step explanation:
(a) For inputs -5 and -4, the difference of outputs is ...
-3 -(-11) = 8
__
(b) For inputs 0 and 2, the difference of outputs is ...
45 -29 = 16
__
(c) For inputs -3 and 0, the difference of outputs is ...
29 -5 = 24
__
(d) The ratios of output difference over input difference are ...
8/1 = 16/2 = 24/3 = 8 . . . . . they are all the same
This is yet another confirmation that the slope of a line is the same everywhere, and over any interval.
Answer:
1/5, 1/6, 1/7, 1/8,1/9, 1/10,1/11,1/12
Simplifying
13g + -25 = 8g
Reorder the terms:
-25 + 13g = 8g
Solving
-25 + 13g = 8g
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Add '-8g' to each side of the equation.
-25 + 13g + -8g = 8g + -8g
Combine like terms: 13g + -8g = 5g
-25 + 5g = 8g + -8g
Combine like terms: 8g + -8g = 0
-25 + 5g = 0
Add '25' to each side of the equation.
-25 + 25 + 5g = 0 + 25
Combine like terms: -25 + 25 = 0
0 + 5g = 0 + 25
5g = 0 + 25
Combine like terms: 0 + 25 = 25
5g = 25 Divide each side by '5'.<span>g = 5
Simplifying
g = 5</span>
The product of rational expression is
.
Given that
The rational expression is
![\rm \dfrac{1}{x} \times \dfrac{x}{x-2}](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7B1%7D%7Bx%7D%20%5Ctimes%20%5Cdfrac%7Bx%7D%7Bx-2%7D)
We have to determine
The product of rational expression.
According to the question
The product of rational expression is determined in the following steps given below.
The rational expression is
![\rm \dfrac{1}{x} \times \dfrac{x}{x-2}](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7B1%7D%7Bx%7D%20%5Ctimes%20%5Cdfrac%7Bx%7D%7Bx-2%7D)
Then,
The product of the rational expression is,
![\rm= \dfrac{1}{x} \times \dfrac{x}{x-2}\\\\= \dfrac{1\times x}{x\times x - x \times 2}\\\\= \dfrac{x}{x^2-2x}](https://tex.z-dn.net/?f=%5Crm%3D%20%5Cdfrac%7B1%7D%7Bx%7D%20%5Ctimes%20%5Cdfrac%7Bx%7D%7Bx-2%7D%5C%5C%5C%5C%3D%20%5Cdfrac%7B1%5Ctimes%20x%7D%7Bx%5Ctimes%20x%20-%20x%20%5Ctimes%202%7D%5C%5C%5C%5C%3D%20%5Cdfrac%7Bx%7D%7Bx%5E2-2x%7D)
Hence, the product of rational expression is
.
To know more about Rational expression click the link given below.
brainly.com/question/4803968
Take numbers that make up -210