Answer:
x = 10.73
Step-by-step explanation:


Answer:
Does exist -- It only exists when the determinant does not equal zero.
Step-by-step explanation:
The inverse of a matrix is the transpose of the cofactor matrix, divided by the determinant. If the determinant is zero, the result of the division is undefined and the inverse does not exist.
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For this matrix, the determinant is (-2)(18) -(9)(4) = -72. The inverse exists.
1, when you factor you get 6x(x^2-1)+4(x^2-1)=
The correct answer is 8 feet tall
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
