Solve the problem.A tree is
A. any connected graph whose edges number one fewer than its vertices.
B. any graph for which there is one and only one path joining any two vertices.
C. any graph with one component and no circuits.
D. all of these define a tree.
E. none of these
Answer: D
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Evaluate.Find (f + g)(-1) when f(x) = x + 5 and g(x) = x + 4.
A. -11 B. 7 C. -1 D. -3
Solve the problem.A catering company makes three kinds of Jello salad-orange, strawberry, and lemon. It supplies two outlet stores, Outlet A and Outlet B. The company can make up to 14 trays of orange, 20 trays of strawberry, and 24 trays of lemon per day. Outlet A needs at least 20 trays of Jello per day and Outlet B needs at least 10 trays of Jello per day. The transportation costs for shipping trays from the company to the outlets are given in the chart below: Shipping ChargesType of JelloOutlet A Outlet BOrange$4$1Strawberry$1$4Lemon$5$5Formulate a linear programming problem that will determine a shipping schedule that will minimize the cost of transporting the Jello salads to fill the needs of the two outlets. DO NOT SOLVE. src="https://sciemce.com/media/4/ppg__tttt0625190815__f1q28g1.jpg" style="vertical-align: -59.0px;" />
A.
subject to Minimize C = -4x1 - x2 + 5x3 + x4 + 4x5 - 5x6
B.
subject to Minimize C = -4x1 - x2 + 5x3 + x4 + 4x5 - 5x6
C.
subject to Minimize C = -4x1 - x2 - 5x3 - x4 + 4x5 - 5x6
D.
subject to Minimize C = 4x1 + x2 + 5x3 + x4 + 4x5 + 5x6
The foci F1 and F2, the vertices V1 and V2, and the endpoints U1 and U2 of the minor axis are as labeled in the figure. Graph the ellipse and find its standard equation. (The coordinates of V1, V2, U1, and U2 are integers, and the coordinates of F1 and F2 are given.)
A. 
+ 
= 1
B. 
+ 
= 1
C. 
- 
= 1
D. 
- 
= 1
Select the graph of the given function and determine the interval(s) for which f(x) ? 0. ? f(x) = 16 - x2 ?
A. ?
?
[-4, -4]
B. ?
?
[-4, 4]
C. ?
?
[-4, -4]
D. ?
?
[4, -4]
E. ?
?
[-4, 4]