Answer:
3/2 or 1.5
Step-by-step explanation:
The formula for the speed of the wagon can be found by using Pythagoras theorem, and chain rule of differentiation.

(b) When <em>x </em>= 0.6 and q = 0.5 m/s, the speed of the wagon is approximately <u>0.243 m/s</u>.
Reasons:
(a) The distance from the cart to the pulley, <em>r</em> is given by Pythagoras's
theorem as follows;
r = √((3 - 0.6)² + x²) = √(2.4² + x²)
The speed of the wagon = 
The speed of the rope, q = 
By chain rule, we have;


Therefore;


(b) The speed of the wagon when <em>x</em> = 0.6 if q = 0.5 m/s is given as follows;

The speed of the wagon when <em>x </em>= 0.6 and q = 0.5 m/s,
≈ <u>0.243 m/s</u>
Learn more here:
brainly.com/question/17081984
Answer:
The vertex is (-1, 4)
Not sure what the table looks like, but just plug the x values into the equation to get a complete point
Graph the points on a graph
Step-by-step explanation:
If we take the equation and multiply out the left side, we get....

+ 2xk +

=

+ x +

The x^2 and k^2 cancel out on both sides leaving us with this...
2kx = x
If we divide both sides by 2x to isolate k,
k ends up = 1/2
A solid dot on the graph of an inequality indicates that the number is contained within the inequality, so yo should use

or

to represent that situation, whereas a white dot indicates that the number is not contained within the inequality.
Our graph is telling us that

is greater or equal than -1, and also

is less than 3. So our inequality will be: