Answer:
the equations are dependent; both describe the line y = 2x -6
Step-by-step explanation:
Remove the common factor of 5 from the first equation and you have ...
2x -6 = y
Subtract 6 from the second equation and you have ...
2x -6 = y
The two equations are the same, so describe the same line. The solution set is all points on that line. The equations are dependent, and have an infinite number of solutions.
Answer:
Average speed of go cart is 217.07 meters per minute.
Step-by-step explanation:
We are given the following in the question:
Length of straightway racetrack = 100 m
Diameter of semicircular end = 40 m
Radius =
Perimeter of racetrack =
Perimeter of semicircle + 2(Length of straightway) + Perimeter of semicircle
Speed =
Thus, average speed of go cart is 217.07 meters per minute.
You would write it as (1/10^12)
any negative exponent does the same thing
ex: x^-1 turns into (1/x^1)
Answer:
d. -4
Step-by-step explanation:
- 4p – 12 = 8 + 4p + 5p
- 4p – 12 = 8 + 9p
- 4p – 9p = 8 + 12
- – 5p = 20
- p = 20 ÷ (– 5)
- p = – 4
Replace the variable x with -4 in the expression.
f (- 4) = 3(- 4)^2 - (- 4) + 23
Simplify each term.
f (- 4) = 48 + 4 + 23
Simplify by adding numbers.
f (- 4) = 75
The final answer is 75.
