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Goshia [24]
2 years ago
15

What is the equation of the line that passes through the points (-4,8) and (2,-1)

Mathematics
1 answer:
DiKsa [7]2 years ago
8 0

Answer:

y - 8 = (3/2)(x + 4)

Step-by-step explanation:

As we move from (-4, 8) to (2, -1), x increases by 6 (this is the run) and y decreases by 9 (this is the "rise").  Thus, the slope is

m = rise / run = 9/6, or 3/2.

Using the point-slope form of the equation of a straight line, we get:

y - 8 = (3/2)(x + 4)

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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
ValentinkaMS [17]

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.

8 0
2 years ago
Mason gave the waiter a $14.58 tip, which was 15 percent of the dinner bill. What was the amount of the dinner bill before he ad
lapo4ka [179]

Answer:

21.87

Step-by-step explanation:

8 0
3 years ago
What is 2 plus 2
kotegsom [21]

Answer:

4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
For all values of x<br> f(x) = 3x + 2<br> Find f-¹(-12)
Novosadov [1.4K]

Answer:

-4.67

Step-by-step explanation:

first find f^-1(x)

let f(x)=y

y=3x+2

3x=y-2

x=y-2/3

Therefore f^-1(x)=x-2/3

Now f^-1(-12)=-12-2/3

=-14/3

=-4.67

8 0
2 years ago
in class you earned 10 participation points one day, -14 the next, and 6 the following day. how many points did you earn that we
Katena32 [7]

Answer:

2 points

Step-by-step explanation:

10-14=-4

-4+6=2 or

10+6=16

16-14=2

8 0
2 years ago
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