Answer:
Use the formula for Arithmetic only if it is Arithmetic: a1+ (n-1)d
a represents the first number in the sequence, n represents the number, and d represent common difference
Use the formula for geometric sequence: an=a1r the exponent of r to n-1
an represents the nth term you are trying to find, a1 represents the first number, r represents the common ratio, and n-1 is just the nth term minus 1.
Once you figure out if the sequence is arithmetic or geometric you one of those formulas.
Answer:
x = 
Step-by-step explanation:
The absolute value always returns a positive value but the expression inside can be positive or negative, that is
x + 4 = 3x - 5 ( subtract 3x from both sides )
- 2x + 4 = - 5 (subtract 4 from both sides )
- 2x = - 9 ( divide both sides by - 2 )
x =
OR
-(x + 4) = 3x - 5
- x - 4 = 3x - 5 ( subtract 3x from both sides )
- 4x - 4 = - 5 ( add 4 to both sides )
- 4x = - 1 ( divide both sides by - 4 )
x = 
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions
| + 4 | = | 
| =
right side = 
- 5 =
left side = right side , thus x = is a solution
check second solution
| + 4 | = | 
| =
right side = 
- 5 = -
right side ≠ left sides, hence not a solution
X is how much it costs for one hour, so when you multiply it by 3 1/2, you get the amount of money charged for 3 and a half hours.
Answer:
Amanda
Step-by-step explanation:
Find the unit rate in each case and then compare the two rates:
4.5 km
-------------- = 1/2 km/min (Sam)
9 min
3.6 km
-------------- = 0.6 km/min (Amanda)
6 min
Amanda, riding at 0.6 km/min, can go further in 1 minute than Sam, who rides at 0.5 km/min.
