Answer:
The reason why c = 6n + t is the same as c - t = 6n is because c is the sum of the addition problem. 6n and t are the addends. The inverse operation for addition is subtraction. c is the cost that will be reduced by t. The answer is still 6n.
Answer:
The movie costs $3.50 and the video games cost $5.
Step-by-step explanation:
a = 1 movie
b = 1 video game
2a + 5b = $32
8a + 3b = $43
2a x -4 = -8a
5b x -4 = -20b
32 x -4 = -128
8a + 3b = $43
- 8a + 20b = $128
--------------------------------
-17b = -85
17b = 85
/17 /17
b = 5
2a + 5(5) = 32
2a + 25 = 32
- 25 = -25
----------------------
2a = 7
/2 = /2
a = 3.5
a = $3.50
b = $5
Answer:
The bounded area is 5 + 5/6 square units. (or 35/6 square units)
Step-by-step explanation:
Suppose we want to find the area bounded by two functions f(x) and g(x) in a given interval (x1, x2)
Such that f(x) > g(x) in the given interval.
This area then can be calculated as the integral between x1 and x2 for f(x) - g(x).
We want to find the area bounded by:
f(x) = y = x^2 + 1
g(x) = y = x
x = -1
x = 2
To find this area, we need to f(x) - g(x) between x = -1 and x = 2
This is:


We know that:



Then our integral is:

The right side is equal to:

The bounded area is 5 + 5/6 square units.
Answer:
20!
Step-by-step explanation: