Answer:
16 edges.
Step-by-step explanation:
We will use Euler's polyhedron formula to solve for the edges of our convex polyhedron.
Euler's polyhedron formula is: , where,
V= Vertices of polyhedron,
F= Faces of polyhedron,
E= Edges of polyhedron.
Let us substitute V=6 and F=12 in Euler's formula to find number of edges of our polyhedron.
Let us subtract 18 from both sides of our equation.
Therefore, our convex polyhedron will have 16 edges.
Answer:
A.
2, 23, 51
Step-by-step explanation:
Substitute 2, 5, and 9 for n in the function and simplify in each case.
a2=−5+(2−1)(7)=2 a subscript 2 baseline equals negative 5 plus left parenthesis 2 minus 1 right parenthesis left parenthesis 7 right parenthesis equals 2
a5=−5+(5−1)(7)=23 a subscript 5 baseline equals negative 5 plus left parenthesis 5 minus 1 right parenthesis left parenthesis 7 right parenthesis equals 23
a9=−5+(9−1)(7)=51 a subscript 9 baseline equals negative 5 plus left parenthesis 9 minus 1 right parenthesis left parenthesis 7 right parenthesis equals 51
The solution is (4, 125). This means that the cost of being in soccer and band for four months is the same, $125. It's where the costs of those two clubs intersect.
Step-by-step explanation:
The solution to a system of linear equations is the point where the two functions intersect. You can see from the graph that the two lines intersect at the point (4, 125)