Answer:
1. not a function.
2. is a function.
3. is a function.
4. not a function.
5. is a function.
6. not a function.
7. not a function.
8. is a function.
9. not a function.
10. is a function.
11. not a function.
12. not a function.
Step-by-step explanation:
1. not a function because the same input goes to 2 different outputs. A function input cannot have 2 outputs.
2. is a function because each input only goes to one output.
3. is a function because each input only goes to one output.
4. not a function because the same input goes to 2 different outputs. A function input cannot have 2 outputs. It does not pass the vertical line test.
5. is a function because each input only goes to one output.
6. not a function because the same input goes to 2 different outputs. A function input cannot have 2 outputs.
7. not a function because the same input goes to 2 different outputs. A function input cannot have 2 outputs.
8. is a function because each input only goes to one output. It also passes the vertical line test.
9. not a function because the same input goes to 2 different outputs. A function input cannot have 2 outputs. It also did not pass the vertical line test.
10. is a function because each input only goes to one output. It also passes the vertical line test.
11. not a function because the same input goes to 2 different outputs. A function input cannot have 2 outputs. It also did not pass the vertical line test.
12. not a function because the same input goes to 2 different outputs. A function input cannot have 2 outputs. It also did not pass the vertical line test.
Hope this helps!
Answer:
42.6cm
Step-by-step explanation:
The sum total of all the sides of the shape is the perimeter of the shape. Hence;
Perimeter = x+3 + 4 + x+9 + 2x+5
Perimeter = 4x + 21
Given
Area of the figure = 75cm^2
Area = (x+3)(2x+5) + (2x+1)(6)
75 = 2x²+5x+6x+15+12x+6
75 = 2x²+23x+21
2x²+23x+21-75 = 0
2x²+23x-54 = 0
x = -23±√23²-4(2)(-75)/4
x = -23±√529+600/4
x = -12±√1129/4
x = -12+33.6/4
x = 21.6/4
x = 5.4
Recall that;
Perimeter = 4x+21
Perimeter = 4(5.4) + 21
Perimeter = 21.6+21
Perimeter = 42.6cm
Hence the perimeter is 42.6cm
Answer:
I believe the answer is 324cm³
just do length x width x height divided by 2
9 x 6 x 12= 648
648÷2=324
I hope this helps dude :)
The volume of the right rectangular prism is the product of all its dimensions, length, width and height. Since all these dimensions are given, therefore, we can directly calculate the volume of the right rectangular prism by substitution to the formula.
V = L*W*H
V = (2.5 ft)(3 ft)(1.5 ft)
<em>V = 3.375 ft³ or 3 and 3/8 ft³</em>
To approximate the volume with 8 boxes, we have to split up the interval of integration for each variable into 2 subintervals, [0, 1] and [1, 2]. Each box will have midpoint 
that is one of all the possible 3-tuples with coordinates either 1/2 or 3/2. That is, we're sampling 
at the 8 points,
(1/2, 1/2, 1/2)
(1/2, 1/2, 3/2)
(1/2, 3/2, 1/2)
(3/2, 1/2, 1/2)
(1/2, 3/2, 3/2)
(3/2, 1/2, 3/2)
(3/2, 3/2, 1/2)
(3/2, 3/2, 3/2)
which are captured by the sequence
with each of 
being either 1 or 2.
Then the integral of 
over 
is approximated by the Riemann sum,
(compare to the actual value of about 4.159)
