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Veronika [31]
3 years ago
14

The cost of renting a jumping castle includes a fixed charge of $325 for setup and delivery, and a variable charge of $175 for e

ach hour the jumping castle is rented for. Caitlin would like to rent a jumping castle for a party, and is willing to spend a minimum amount of $1200 and a maximum amount of $1725. Solve for the range of hours "t" that she could hire the jumping castle for. Give your answer as an inequality.
Mathematics
1 answer:
Burka [1]3 years ago
7 0

Answer:

they can rent it for 6 hours

Step-by-step explanation:

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xxTIMURxx [149]

Answer:

(-2 , 5)

(-1 , 0)

(1 , -4)

(3 , 0)

(4 , -5)

Step-by-step explanation:

<u>First solve the equation:</u>

x² - 2x - 3

<em><u>Find two numbers with have a sum of -2 and a product of -3.</u></em>

-3 and 1

(x - 3)(x + 1)

Solve for x:

x - 3 = 0

x = 3

x + 1 = 0

x = -1

You know that the graph will cross the x-axis at -1 and 3.

(-1 , 0)

(3 , 0)

You know that the graph is positive.

<u>Complete the square to find the vertex</u>

x² - 2x - 3

(x - 1)² = x² - 2 + 1

x² - 2x - 3 = x² - 2 + 1 - 2 = (x - 1)² - 2

1 = 0

x = 1

Substitute into the original equation:

x² - 2x - 3 =

1² - (2 * 1) - 3 =

1 - 2 - 3 =

-4

(1 , -4)

<em><u>You can input any two numbers within -10 and 10. Such as -2 and 4.</u></em>

x² - 2x - 3 =

-2² - (2 * -2) - 3 =

4- -4- 3 =

5

(-2 , 5)

x² - 2x - 3 =

4² - (2 * 4) - 3 =

16 - 8 - 3 =

-5

(4 , -5)

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Step-by-step explanation:

I got this much.....

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The answer would be 3.75 miles por minute
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