Answer:
a) $0.97
b) $0.16
c) $24.30
Step-by-step explanation:
$0.09 per kilowatt hour = $0.09/kWh
6h/day 30 days = 180h
a) 60W*180h = 10800 Wh = 10.8kWh
10.8kWh * $0.09/kWh = $0.97
b) P = V*I
V = 120V
I = 80mA = 80/1000 = 0.08A
P = 120*0.08 = 9.6W
9.6W*180h = 1728 Wh = 1.728kWh
1.728kWh * $0.09/kWh = $0.16
c) 1500W*180h = 270000 Wh = 270kWh
270kWh * $0.09/kWh = $24.30
Since the discriminant given has a value that is greater than zero, hence the roots of the quadratic equation are real and distinct.
<h3>Discriminant of a quadratic equation</h3>
Quadratic equation is an equation that has a leading degree of 2. The discriminant is used to determine the nature of the equation
If D > 0 , the roots of the quadratic equation are real and distinct.
If D < 0 , the roots of the quadratic equation are complex
Since the discriminant given has a value that is greater than zero, hence the roots of the quadratic equation are real and distinct.
Learn more on discriminant here: brainly.com/question/2507588
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f(x)= -2x-3
Step-by-step explanation:
Step 1:
Let the sequence given here is -5, -7, -9, -11, -13 ......
Here the first term (a₁) of sequence is -5
And the common difference between the numbers in the sequence is
d= (-7-(-5)) = -7+5 = -2
Let the number of terms be x
Step 2;
To find the sequence function basic arithmetic sequence formula is
aₙ = a₁ + d( x-1)
Applying the values we get
f(X) = -5 + ((-2)(X-1))
on simplification
f(X) = -5 + (-2X+2)
f(X)= -5+2-2X
f(X)= -3-2X
Solving the rational equation 
the value of x is 7
Step-by-step explanation:
We need to solve rational equation: and find value of x.
Solving:
Cross multiplying:
So, value of x = 7.
Solving the rational equation the value of x is 7
Keywords: Solving the rational equation
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Hmm I’ve done this before but I can’t remember sorry but I will try and think
