Arope 25 feet long is cut into 3 pieces. the first piece is 4x feet long, the second piece is 3x feet long and the third is is 4 feet long. find the length of each price of rope

The first piece is 12 feet long, the second is 9 feet long, and the third is 4 feet long.

Step-by-step explanation:

The original rope is 25 feet in length. Two pieces are dependant on the value of , so we must first find that. The equation for the length of rope is:

The terms with can be combined:

Now, take 4 from both sides:

And divide by 7:

Now we just use the value found for to find the lengths of the rope:

To check the answer, we can make sure the three lengths sum to 25 feet:

Which it does. So the three lengths are 12 feet, 9 feet and 4 feet.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

choice b is correct

step-by-step explanation:

we have been given the following system of linear inequalities;

we are required to graphically determine the solution to these system of inequalities. using a graphing tool, the solution is as shown in the attachment below;