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zysi [14]
3 years ago
8

Someone help me with this please.

Mathematics
1 answer:
astra-53 [7]3 years ago
7 0

9514 1404 393

Answer:

  P: $0.12/kWh; M: $0.15/kWh

  $285 from company P

Step-by-step explanation:

The cost per kWh from Company P is found by dividing the cost by the corresponding number of kWh:

  $150/(1250 kWh) = $0.12/kWh

The cost per kWh from Company M is the coefficient of x in the equation:

  $0.15/kWh

__

Company P provides power for a lower cost. The cost from Company P for 2375 kWh is ...

  (2375 kWh)×($0.12/kWh) = $285 . . . cost for 2375 kWh

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kiruha [24]

Using linear and composite functions, it is found that the x-intercept of g(h(x)) is x = -\frac{5}{6}, given by option B.

-------------------------------

The equation of a line is:

y = mx + b

In which:

  • m is the slope.
  • b is the y-intercept.

Function g:

  • Two of the points are (-6,16) and (-4,10).
  • The slope is given by <u>change in y divided by change in x</u>, thus:

m = \frac{10 - 16}{-4 - (-6)} = -3

Thus:

g(x) = -3x + b

Point (-4,10) means that when x = -4, g(x) = 10, and we use this to find b, so:

10 = -3(-4) + b

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g(x) = -3x - 2

Function h:

  • Two of the points are (-6,-11) and (-4,-7).
  • The slope is:

m = \frac{-7 - (-11)}{-4 - (-6)} = \frac{4}{2} = 2

Thus:

h(x) = 2x + b

Point (-4,-7) means that when x = -4, h(x) = -7, and we use this to find b, so:

-7 = 2(-4) + b

-8 + b = -7

b = 1

Then

h(x) = 2x + 1

The composite function is:

g(h(x)) = g(2x + 1) = -3(2x + 1) - 2 = -6x - 3 - 2 = -6x - 5

The x-intercept it the zero of the function, thus:

-6x - 5 = 0

6x = -5

x = -\frac{5}{6}

Which is option B.

A similar problem is given at brainly.com/question/21010520

6 0
2 years ago
Read 2 more answers
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