Answer:
the 4th graph.
Step-by-step explanation:
by solving for Y in the first equation, we get the y-intercept of -1 and the second equation has a y-intercept of 1. 4th graph is the only graph with those 2 intercepts
Answer:
213.52 cubic ft
Step-by-step explanation:
Diameter of pipe = 4ft
radius for circle is half of diameter
thus radius of pipe = 1/2 of 4ft = 2 ft
length of pipe = 17 feet
volume of cylinder is given by 
where r is the radius and l is the length of cylinder
.
thus volume of pipe is calculated below using above values

volume of pipe is 213.52 cubic ft.
Let be "x" the number of colored pencils in the box.
According to the information given in the exercise, there are 84 pencils in the box and 53 of them are regular pencils.
Knowing this information, you can set up the following equation:

Finally, you have to solve for the variable "x" in order to find its value. In order to do this, you can apply the Subtraction property of equality by subtracting 53 from both sides of the equation:

The answer is: There are 31 colored pencils in the box.
Answer:
-4x-6x=-20=
x=2
-3(2x-3)=33=
x=-4
4x+3x+2x=180
x=20
Step-by-step explanation:
-4x-6x=-20
-4+(-6)=-10x
-10x=20 (divide both by 10)
x=-2 (divide by -1 to get positive)
x=2
-3(2x-3)=33
-6x+9=33
-9 . -9
-6x=24 (divide both by -6)
x=-4 (divide by -1 to make positive)
4x+3x+2x=180
(combine like terms)
9x=180 (divide both sides by 9)
x=20