Step-by-step explanation:
<em>1.) </em><em>x</em>
<em />
<em>2.) </em><em>f(x)</em>
<em />
<em>3.) </em><em>the output (y-value) when x = 2</em>
<em />
<em>4.) </em><em>f(2) = 2</em>
Answer: welcome
Step-by-step explanation:
x
−
z
=
18
Explanation:
We can write the following averages:
x
+
y
+
80
3
and
y
+
z
+
80
3
The first (red) one is greater than the second (blue) one by 6.
Therefore the difference is 6.
x
+
y
+
80
3
−
y
+
z
+
80
3
=
6
×
3
3
×
(
x
+
y
+
80
)
3
−
3
×
(
y
+
z
+
80
)
3
=
6
×
3
x
+
y
+
80
−
(
y
+
z
+
80
)
=
18
x
+
y
+
80
−
y
−
z
−
80
=
18
x
+
y
+
80
−
y
−
z
−
80
=
18
×
×
×
×
×
×
×
x
x
−
z
=
18
The prism has 6 faces.
Each pair of opposite faces is congruent.
The front and back faces are rectangles that measure 10 cm by 5 cm.
The right and left faces are rectangles that measure 5 cm by 3 cm.
The top and bottom faces are rectangles that measure 10 cm by 3 cm.
Now we find the area of each rectangle.
The front and back faces are rectangles that measure 10 cm by 5 cm.
Each face:
A = 10 cm * 5 cm + 50 cm^2
The right and left faces are rectangles that measure 5 cm by 3 cm.
Each face:
A = 5 cm * 3 cm = 15 cm^2
The top and bottom faces are rectangles that measure 10 cm by 3 cm.
Each face:
A = 10 cm * 3 cm = 30 cm^2
There are two faces shaped like each rectangle above, so we multiply each rectangle's area by 2, and we add them together.
total surface area = 2 * 50 cm^2 + 2 * 15 cm^2 + 2 * 30 cm^2
total surface area = 100 cm^2 + 30 cm^2 + 60 cm^2
total surface area = 190 cm^2
If a system has at least one solution, it is said to be consistent .
If a consistent system has an infinite number of solutions, it is dependent
