Answer:
20%.
Step-by-step explanation:
Step-by-step explanation:
3x - x = 2x
2(x + 2) = 2x + 2
for every number of x, 2x + 2 would always be larger than 2x.
so there is no solution, since the given equation is 2x is greater than 2x + 2.
The minimum electric rate in cents per kwh for which the 12-year total cost will be less for the first freezer is 8.61 cents
<h3>How to calculate the rate?</h3>
Let x = minimum electric rate (Cents/kWh)
Total months in 12 years is 12*12 = 144 m
1st freezer
Total cost over 12 years is
623.95 (cost) + (90 kWh/m)*(144 m)(x/100 $/kWh)
= 623.95 + 129.6x
2nd freezer
Total cost over 12 years is
500 + 100*144*(x/100)
= 500 + 144x
For the 1st freezer to cost less over 12 years,
623.95 + 129.6x < 500 + 144x
123.95 < 14.4x
8.61 < x
The minimum rate is 8.61 cents per kWh
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B can be eliminated, as 10x and 4x multiply to 40x^2, which is not in the expression.
The greatest common factor of all coefficients in the equation is 2. Divide all coefficients by 2 to get the following equation:

We will leave out this coefficient, 2, for now.
We'll need to find the factors of c:
c = -6
Factors of 6: {1,2,3,6}
The only factors in the answer choices that fit this are 2 and 3. D can be eliminated.
5x and 2x multiply to 10x^2. 5x and 2x also modify what b will equal. Use the answer choices A and C to find b:
A.

C.

Answer C comes up with the correct b value.
The answer is
C. 2(5x - 2)(2x + 3).