Answer:
Peter gets £13.158 for each kWh of electricity he produces.
Step-by-step explanation:
Peter buys a small wind turbine
Total electricity produced by wind turbine in first year = 13,000 kWh
Total electricity used by Peter = 7570 kWh
Electricity sold to energy suppliers = ?
Total amount of money he gets after selling x electricity to energy suppliers = £412.68
We can se that:
Total electricity produced = Electricity used by Peter + Electricity sold by Peter
Electricity sold by Peter = Total Electricity produced - Electricity used by Peter
Electricity sold by Peter = 13,000 kWh - 7570 kWh = 5430 kWh
Total amount earned = £412.68
So
Price per kWh = Electricity sold by Peter/Total Amount earned
Price per kWh = 5430/412.68
Price per kWh = £13.158
1a) The domain is a set of all real numbers not equal to 5
1b) The domain is a set of all real numbers not equal to 4
<h3>What is the domain of the function?</h3>
Domain of a function is the set of all possible input values that make the function defined.
1a) We are given the function;
C(x) = -3²/(x - 5)
The domain will be a set of values that makes the denominator not equal to zero. Thus;
The domain is a set of all real numbers not equal to 5
1b) The function is; R(x) = 4x/(3x - 12)
The domain will be a set of values that makes the denominator not equal to zero. Thus;
The domain is a set of all real numbers not equal to 4
2a) Function is;
f(x) = (x + 8)/(2x - 1)
f(2) = (2 + 8)/(2(2) - 1)
f(2) = 10/3
f(0) = (0 + 8)/(2(0) - 1)
f(0) = -8
f(-1/2) = (-1/2 + 8)/(2(-1/2) - 1)
f(-1/2) = -15/4
2b) Function is;
r(t) = (t² + 8)/(t³ - 25t)
r(3) = (3² + 8)/(3³ - 25(3)) = -17/48
r(2) = (2² + 8)/(2³ - 25(2)) = -12/42 = -2/7
r(-1) = ((-1)² + 8)/((-1)³ - 25(-1)) = 9/24 = 3/8
Read more about Domain of function at; brainly.com/question/10197594
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Answer:
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Step-by-step explanation:
The answer would be 7 seconds
Answer:
Step-by-step explanation:
(-1 - 5)/(0 + 3)= -6/3 = -2
y - 5 = -2(x + 3)
y - 5 = -2x - 6
y = -2x - 1