5, 8, 11, ... is an arithmetic sequence where:
Answer:
C) never
Step-by-step explanation:
It means the system of equations is true for all values of the variables that satisfy one of the equations. The other equation is identical, so any values that satisfy the first equation will also satisfy the second equation.
There will be an infinite number of solutions. There will never be no solution.
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<u>Example</u>:
x + y = 4
-x -y +4 = 0
Adding the two equations gives ...
(x +y) +(-x -y +4) = (4) + (0)
4 = 4
The solutions to this system are all values of x and y such that x+y=4. There are an infinite number of such solutions.
Answer:
Step-by-step explanation:
Key features
when t = 0
the initial height is 143/3 = 47⅔ ft
initial velocity is -310/3 = -103⅓ ft/s (downward)
initial acceleration is 2(64) = 128 ft/s² (upward)
I would not like to ride this roller coaster!
that's about four times the acceleration of gravity, and it only increases as the car gets to the bottom of the curve at t = 1 s
For part 3
I'm not sure what they mean by "not realistic"
while the initial acceleration is high. the acceleration at t = 1 is zero except that in 'reality' the car would have to be going through a curve to change direction from down to up. That would create very high centripetal acceleration and therefore centripetal forces.
Answer: £60
Step-by-step explanation:
Natalie bought a pair of shoes for £54 which had been reduced by 10%.
To find the original cost, assume the original cost is x.
The discount would be: 10% * x
The expression would therefore be:
x - (10% * x) = 54
x - 0.1x = 54
0.9x = 54
x = 54 / 0.9
x = £60
Answer:
(-5,31)
Step-by-step explanation:
See image.