Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x= 18.
1 answer:
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Answer:
Part a) The speed is
Part b) After 4 seconds the trains is 24 ft along the track
Part c)
Step-by-step explanation:
we have
This is the equation of a line in slope intercept form
where
s(t) is the position of a model train in feet
t is the time in seconds
Part a) How fast is the train moving?
The speed of the train is equal to the slope of the linear equation so
The slope m is equal to
therefore
The speed is
Part b) Where is the train after 4 seconds?
For t=4 sec
substitute the value of t in the equation and solve for s
therefore
After 4 seconds the trains is 24 ft along the track
Part c) When will the train be 29 feet along the track?
For s(t)=29 ft
Substitute the value of s(t) in the equation and solve for t
subtract 14 both sides
Divide by 2.5 both sides
rewrite
For any value of x the value of the expression (x–3)(x+7)–(x+5)(x–1) is equal to –16.
Step-by-step explanation:
In order to prove the statement we can take any value of x and then solve the expression to see if it equal to -16 or not.
So,
Taking x = 2
Taking x = 5
Taking x= 10
Hence,
For any value of x the value of the expression (x–3)(x+7)–(x+5)(x–1) is equal to –16.
Keywords: Polynomials, expressions
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