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lawyer [7]
2 years ago
11

Your school is planning a field trip to a history museum. They are going to rent a large bus for $450. The cost of the ticket to

the museum is $15.75. Write an equation to represent this situation. Then, find how many people need to go on the trip for it to cost $40 per person.
Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
6 0

Answer:

19

Step-by-step explanation:

To write an equation for the first situation, you need to determine which factors can be changed.  The bus will not change since you can have multiple people in one.  The ticket to the museum is per person.  This will change depending on how many people there are.

450 + 15.75x

For the second equation, you need to find how many people can go for it the cost to be equal to $40 per person.  Set the equation equal to $40 per person and solve.

450 + 15.75x = 40x

450 = 24.25x

x = 18.56

Round up to 19 since you can't 0.56 of a person.

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I need help bruv. For the function y=x^2 - 5x - 6 .
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Answer:

a. Vertex = (2.5,-12.25)

b. y-intercept = (0,-6)

c. x-intercept = (6,0) ; (-1,0)

Step-by-step explanation:

a.

Your equation is written as:

y = ax^{2} + bx +c

The easiest way to find the vertex is writing the equation this way:

y = a(x-h)^{2}+k

Being the vertex (h,k)

So first complete the square

y = x^{2} -5x -6 \\y = x^{2} - 2(2.5x) -6 \\y = x^{2} - 2(2.5x) +2.5^{2} - 2.5^{2} -6 \\y = (x^{2} -2(2.5x) + 2.5^{2}) -6.25 - 6 \\y = (x-2.5)^{2} -12.25

Vertex : (2.5,-12.25)

b.

To find the y-intercept you need to replace the equation when x = 0 and get y

y = (0)^{2} - 5(0) -6\\y = - 6

c.

To find the x-intercept you need to replace the equation when y = 0 and get x

0 = x^{2} - 5x -6 \\0 = (x-6)(x+1)\\x = 6\\x = -1

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3 years ago
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