An input-output table, like the one shown below, can be used to represent a function. Each pair of numbers in the table is related by the same function rule. That rule is multiply each input number
Answer:
The line passes (2, 5) and (4, 7) has slope:
S = (7 - 5)/(4 - 2) = 2/2 = 1
The line passes (1, 7) and (-4, 2) has slope:
S = (2 - 7)/(-4 - 4) = 5/-5 = -1
The multiplication of two slope is 1 x (-1) = -1
=> Two lines are perpendicular
Hope this helps!
:)
You have a total of $12. Each bag of almonds cost $0.50, how many bags of almonds can you buy with your $12?
Answer:
\\x= P/(c -d)[/tex],
Assume that the price of each minute in the first plan is $c and that the second plan charges a flat rate of $P and a charge of additional $d for every minute.
Step-by-step explanation
Assume that the price of each minute in the first plan is $c and that the second plan charges a flat rate of $P and a charge of additional $d for every minute.
Thus, the monthly cost of a customer who consumes x minutes in each plan is:
For the first plan: 
and for the second plan: 
Considering that the monthly costs must be the same in each plan, you have to:
![cx = P + dx\\ transposing terms\\cx - dx = P\\ applying common factor\\(c -d)x = P\\ dividing by [tex]c - d](https://tex.z-dn.net/?f=cx%20%3D%20P%20%2B%20dx%5C%5C%20transposing%20terms%3C%2Fp%3E%3Cp%3E%5C%5Ccx%20-%20dx%20%3D%20P%5C%5C%20%20%20applying%20common%20factor%3C%2Fp%3E%3Cp%3E%5C%5C%28c%20-d%29x%20%3D%20P%5C%5C%20dividing%20by%20%5Btex%5Dc%20-%20d)
\\x= P/(c -d)[/tex].
For example if
, Then the number of minutes would be,
and the total cost for each plan would be 