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Questions in Grade College

[Jawaban] A soccer player gets 2 points for a goal and 1 point for an assist. If the combined number of goals and assists that a player has is 24, and the total number of points that the player has is 42, which system of equations can be used to determine the number of goals and assists the player has? Assume [tex]$g$[/tex] represents the number of goals and [tex]$a$[/tex] represents the number of assists. A. [tex]$g+a=24$[/tex] [tex]$g+2 a=42$[/tex] B. [tex]$g+a=24$[/tex] [tex]$2 g+a=42$[/tex] C. [tex]$g+a=42$[/tex] [tex]$g+2 a=24$[/tex] D. [tex]$g+a=42$[/tex] [tex]$2 g+a=24$[/tex]

[Jawaban] Consider the following equation. $-\left(\frac{3}{2}\right)^x+12=2 x-3$ Approximate the solution to the equation above using three iterations of successive approximation. Use the graph below as a starting point. A. $x \approx \frac{71}{16}$ B. $x \approx \frac{69}{16}$ C. $x \approx \frac{33}{8}$ D. $x \approx \frac{35}{8}$

[Jawaban] Rewrite the equation in factored form. [tex]5 x^2=44 x+9[/tex] [tex]\square = 0[/tex] (Factor completely.) The solution set is {[tex]\square[/tex]}. (Use commas to separate answers as needed. Type each solution only once.)

[Jawaban] If [tex]$x^2+m x+m$[/tex] is a perfect-square trinomial, which equation must be true? [tex]$x^2+m x+m=(x-1)^2$[/tex] [tex]$x^2+m x+m=(x+1)^2$[/tex] [tex]$x^2+m x+m=(x+2)^2$[/tex] [tex]$x^2+m x+m=(x+4)^2$[/tex]

[Jawaban] How do you check the heat exchanger with a gas pack? A. Check the flame using a lighter with the unit running. B. Check the flame with a lighter with just the fan on. C. Remove the lid and visually inspect the heat exchanger if the unit is over 10 years old, or use a lighter with just the fan if under 10 years old. D. Check the flame with a lighter with the unit off.

[Jawaban] $P(x)=x^4-2 x^3+k x-4$, where $k$ is an unknown integer. $P(x)$ divided by $(x-1)$ has a remainder of 0. What is the value of $k$?

[Jawaban] Out of 4 now For the following relational schema: Where would you define the foreign keys for each table? Explain your reasoning AIRPORT Airport code Name City State FLIGHT Flight_number Airline Weekdays FLIGHT_LEG Flight number Leg_number Departure airport code Scheduled_departure_time Arrival airport code Scheduled_arrival_time LEG INSTANCE Flight_number Leg_number Departure airport code Date Number_of_available_seats Airplane_id Departure_time Arrival airport code Arrival_time FARE Flight_number Fare_code Amount Restrictions AIRPLANE TYPE Airplane_type_name Max seats Company CAN_LAND Airplane_type_name Airport code AIRPLANE Airplane_id Total_number_of_seats SEAT RESERVATION Flight number Airplane_type Leg number Date Seat number Customer_name Customer_phone For the following relational schema: Where would you define the foreign keys for each table? Explain your reasoning

[Jawaban] \left\{\begin{array}{l}11 x-9 y=2 \\ 13 x+5 y=-11\end{array}\right.

[Jawaban] The density of a fish tank is [tex]$0.3 \frac{\text { fish }}{\text { feet }^3}$[/tex]. There are 15 fish in the tank. What is the volume of the tank?

[Jawaban] What does the vector represent?