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NARA [144]
3 years ago
8

In a recent year, the price of a gallon of heating oil in a New England town rose 5 cents, dropped 2 cents, and then rose 4 cent

s. By how much did the price change during that period?
Mathematics
2 answers:
erma4kov [3.2K]3 years ago
5 0
What do you think it is
Leona [35]3 years ago
4 0
 it changed by 1 cent, the price went up
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3 years ago
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Use the given cost table for the same product from two different companies to create a linear system.
viktelen [127]

40 garments need to be dry cleaned for the two companies to have the same cost.

<h3>Linear equation</h3>

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let f(x) represent the cost for dry cleaning at Company 1. Hence using the points:

  • (5, 115.25) and (15, 155.75)

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\&#10; \\&#10;y-115.25=\frac{155.75-115.25}{15-5}(x-5)\\&#10; \\&#10;y=4.05x+95

Let g(x) represent the cost for dry cleaning at Company 2. Hence using the points:

  • (5, 45.25) and (15, 105.75)

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\&#10; \\&#10;y-45.25=\frac{105.75-45.25}{15-5}(x-5)\\&#10; \\&#10;y=6.05x+15

For the cost to be the same:

4.05x + 95= 6.05x + 15

x = 40

40 garments need to be dry cleaned for the two companies to have the same cost.

Find out more on Linear equation at: brainly.com/question/14323743

7 0
2 years ago
Part A<br> Find the value of x in the following figure:<br> Part B<br> Find Y:
Advocard [28]

Answer:

x=17

I hope it's helps you

7 0
3 years ago
Read 2 more answers
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