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Digiron [165]
3 years ago
7

I need help on B-D.....

Mathematics
2 answers:
ella [17]3 years ago
8 0

B)

~ Substitute x = 2 into the equation and if the result is equal to the y- coordinate of the point then it is a solution.

~ y = 3(2) - 2 = 6 - 2 = 4 ≠ - 1

(2, - 1) is not a solution to the equation.

D)

~ The point (2, - 1) only lies on the line sloping downwards from left to right.

~ So it’s is a solution to that equation.

Brums [2.3K]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

B

To determine if (2, - 1) is a solution to y = 3x - 2

Substitute x = 2 into the equation and if the result is equal to the y- coordinate of the point then it is a solution.

y = 3(2) - 2 = 6 - 2 = 4 ≠ - 1

Thus (2, - 1) is not a solution to the equation.

D

The point (2, - 1) only lies on the line sloping downwards from left to right.

It is therefore a solution to that equation but not the other.

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(A)Cost of Rental A, C= 15x

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i. Rental C   ii. Rental A     iii. Rental B

Step-by-step explanation:

<u>Part 1</u>

Let x be the number of hours of the barbeque use by the club.

Rental A: $15/h

Cost of Rental A, C= 15hx

Rental B: $5/h + 50

Cost of Rental B, C=5x+50

Rental C: $9/h + 20

Cost of Rental C, C=9x+20

<u>Part 2</u>

The graph of the three models is attached below

<u>Part 3(11.05-4.30)</u>

If the barbecue's usage hour is from 11.05 to 4.30 when the football match ends.

Number of Hours between 11.05am and 4.30pm=4 hours 25 Minutes = 4.42 Hours

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Cost of Rental C, C=9x+20=9(4.42)+20=$59.78

Rental C should be chosen as it offers the lowest cost.

<u>Part 4 (11.05-12.30)</u>

Number of Hours = 12.30 -11.05 =1 hour 25 Minutes = 1.42 Hours

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Rental A should be chosen since it offers the lowest cost.

<u>Part 5</u>

If the barbecue is returned the next day, say after 24 hours

  • Cost of Rental A, C= 15x=15(24)=$360 Cost of Rental B, C=5x+50 =5(24)+50=$170 Cost of Rental C, C=9x+20=9(24)+20=$236

Rental B should be chosen as it offers the lowest cost.

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