MUTIPLE ANSWERS PEOPLE An online pet store offers the hamster house shown in the figure below. Choose all of the expressions that could be used to find the volume of the hamster house. A solid shape is shown; two rectangular prisms are attached. The total length of the shape is 6 feet. One rectangular prism has a length of 1 foot, width of 3 feet and height of 4 feet. The second rectangular prism has a length as 6 feet, width as 3 feet and height as 2 feet. A. ( 1 × 3 × 4 ) + ( 2 × 5 × 3 ) B. ( 1 × 3 ) + ( 4 × 2 ) + ( 5 × 3 ) C. ( 1 × 3 × 2 ) + ( 6 × 3 × 2 ) D. 3 × ( 1 + 4 ) + 2 × ( 5 + 3 ) E. ( 3 × 4 ) + 1 × ( 2 × 5 ) + 3

Its E.(3 × 4) + 1 × (2 × 5) + 3.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3