Answer:
y = (x - 1) / 2 (First answer choice)
Step-by-step explanation:
1) Start with f(x) = 2x + 1
2) Replace f(x) with y: y = 2x + 1
3) Interchange x and y: x = 2y + 1
4) Solve this result for y: 2y = x - 1, or y = (x - 1) / 2 (This matches the first
answer choice.)
Answer:
26880 ways
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Step-by-step explanation:
Given



Required
Determine the number of ways 3 toppings and 3 cheese can be selected
The number of crusts to be selected was not stated. So, I'll assume 1 crust to be selected from 4.
This can be done in
ways
For the toppings:
3 can be selected from 10 in
ways
For the cheeses:
3 can be selected from 8 in
ways
Total number of selection is:

Apply combination formula:







<em>Hence, there are 26880 ways</em>
x represents the total sales and y represents the total amount of money that Gary earns.
Gary's monthly salary = 1500
His commission = 10% of his sales
= 
= 0.1x
So, total amount of money Gary earns is y = 0.1x + 1500.
Answer:
B) 7 cans
Step-by-step explanation:
First task is to determine how many square units we have.
With the rectangle spanning 2 units on the X-axis and 3 unites on the Y-axis, we know that it has an area of 6 square units.
The two triangle shapes sum up to one unit total, since a triangle's area is (base * height) / 2. Both have a base of 1 unit, and a height of 1 unit... so (1 * 1) / 2 = 1/2 for each triangle. Together, they occupy 1 unit.
So, total is 7 square units. Let's imagine it as a 7-unit by 1-unit rectangle, it will be easier to calculate. Each unit is 5 feet. So, this rectangle measures 35 (7 * 5) feet long, by 5 (1 * 5) feet wide... for a total of 175 (35 * 5) sq feet.
Since a can of paint can cover 25 sq feet, he'll need 7 cans (175 / 25).
Answer:
1 / 2 or 0.5
Step-by-step explanation:
use the formula ; m = y2 - y1 / x2 - x1
where y2 = 10
y1 = 9
x2 = 5
x1 = 3