Answer:
A maximum of 43 students and 11 teachers can go to the trip.
Step-by-step explanation:
Since a group of teachers and students will take a bus trip to a museum, and each teacher will lead a group of no more than 4 students, and the bus can hold a maximum of 54 teachers and students, to determine the possible numbers of teachers and students who can go on the trip, the following calculation must be performed:
4 + 1 = 5
54/5 = X
10.8 = X
10 x 4 = 40
10 x 1 = 10
4 - 1 = 3
Therefore, a maximum of 43 students and 11 teachers can go to the trip.
Answer:
Find the value of x and y in coordinate form, that'll be the point of intersection.
Question 1

Therefore, points of intersection are two
Answer: <u> </u><u>(</u><u>3</u><u>,</u><u> </u><u>4</u><u>)</u><u> </u><u>and</u><u> </u><u>(</u><u>1</u><u>,</u><u> </u><u>2</u><u>)</u>
Question 2:
Following the steps as in question 1

Answer: <u>(2, 0)</u>
Answer:
y = 3 and x = 2
Step-by-step explanation:
subtract the 2nd eqn from the first...
-4y = -12
y = 3
substitute the value of y into either of the eqns...
2x - 3(3) = -5
2x = 4
x = 2
A) Growth: f(x) because it is getting larger exponentially due to an integer greater than 1 being raised to an exponent.
b) Decay: g(x) because it is getting smaller exponentially due to an integer less than 1 being raised to an exponent.
c) Have the lead exponent being not equal to 1.
d) Whether or not the number being raised to the exponent is greater than or less than 1.
e) f(x) because it is an exponential growth function, which none of the others are.