Answer:
Step-by-step explanation:
Let x represent the numerator and y represent the denominator.
The numerator of a rational number is greater than its denominator by 3. It means that
x = y + 3
If the new number becomes 13/4 when the numerator is tripled and the denominator is decreased by 23, it means that
3x/(y - 23) = 13/4
Cross multiplying, it becomes
3x × 4 = 13(y - 23)
12x = 13y - 299- - - - - - - - - - -1
Substituting x = y + 3 into equation 1, it becomes
12(y + 3) = 13y - 299
12y + 36 = 13y - 299
13y - 12y = 36 + 299
y = 335
x = y + 3 = 335 + 3
x = 338
The original number is 338/335
For this case we have the following transformation:

Using the transformation we have that the image is:

Therefore, making use of this information, we can find the coordinates of the pre-image
We have then:

From here, we clear x:

On the other hand we have:

From here, we clear y:

The coordinates of the pre-image is:
Answer:
A point that is the pre-image is:
The rate of change of a line is regarded as the slope/ gradient (m) of the line
The slope/ gradient (m) of the line moving through points (x₁,y₁) and (x₂,y₂) is given as

On substituting the above values in the formula above we will have the slope to be

Therefore,
The rate of change of the line through (2,3) and (3,8) is 5
Answer:
1/3 in decimal format is .333333333333... so none of these are correct
Answer:
D = -7
Step-by-step explanation: