1) How many weeks will Jake and Seth be equal? set the equations equal to each other and solve for x:
5x + 85 = 20x + 40
45 = 15x
<u><em>x = 3 weeks</em></u>
2) How much money will that be? plug x = 3 back into the equation to solve for y:
Jake: 5(3) + 85 = $100
Seth: 20(3) + 40 = $100
<u><em>answer is $100</em></u>
We shall use the formula for distance traveled:
s = ut + (1/2)at^2
where
u = initial velocity
t = time
a = acceleration.
Because
u = 0 (car starts from rest),
t = 10 s (travel tme),
a = 2 m/s^2 (acceleration), m
the di mstance traveled is
s = (1/2)*(2 m/s^2)*(10 s)^2 = (1/2)*2*100 = 100
Answer: 100 m
9514 1404 393
Answer:
(c) 5x and 3x, and 4 and 1
Step-by-step explanation:
Like terms have the same variable(s) to the same power(s).
The terms of this expression are ...
- x^3: variable x, power 3
- 5x: variable x, power 1
- -3x: variable x, power 1
- 3y: variable y, power 1
- 4: no variable
- -1: no variable
The like terms are {5x, -3x}, which have the x-variable to the first power, and {4, -1}, which have no variable.
