An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant. This ratio is called the common ratio.
Answer:
Step-by-step explanation:
To find the inverse of a function, what I like to do is to switch the places of x and y, and then try to isolate y again like so:
Hope this helps!
9514 1404 393
Answer:
- -51
- -30
- -60
- 2 or -2
Step-by-step explanation:
The function puts a minus sign on 3 times the magnitude of the input.
1. y = -|3×17| = -51
2. y = -|3×10| = -30
3. y = -|3×20| = -60
4. -6 = -|3x|
2 = |x| . . . . divide by -3
x = ±2 . . . . two possibilities
11. The two angles are vertical angles, which mean they are equal to each other.
14x - 5 = 13x
Add 5 to both sides:
14x = 13x + 5
Subtract 13x from both sides:
x = 5
12. The two angles are supplementary and when added together need to equal 180 degrees.
5x -20 + 3x = 180
Combine like terms:
8x -20 = 180
Add 20 to both sides:
8x = 200
Divide both sides by 8:
x = 200 /8
x = 25
1 gallon is 3.78 L
100 sq feet needs 1 L
800 sq feet needs x
100/800 = 1/x
100x = 800
x = 800/100
x = 8 L
If you use the fact that 4 L = 1 gallon then you need 2 gallons of paint. I you use the more accurate 3.78 L then
1 gallon = 3.78 L
x gallon = 8 L
3.78 x = 8*1
x = 8/3.78
x = 2.12 gallons.
I guess you could say that 1 gallon and 1 L would do you.
