Answer:
6
Step-by-step explanation:
1/2 of 12= 6
12/2=6
The answer is 1 and the equation is 2n+5=7
The roof is made up of 2 similar pieces of 2 rectangle shapes.
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Area of a rectangle = Length x Width
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Area of a rectangle = 50 x 14 = 700 ft²
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Area of 2 rectangle pieces:
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Area of 2 rectangle pieces = 700 x 2 = 1400 ft²
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Find the cost:
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1ft² = $2.75
1400 ft² = 2.75 x 1400
1400 ft² = $3850
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Answer: It will cost $3850 to have the roof replaced. (Answer A)
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Answer:
16
Step-by-step explanation:
b^2
Let b= -4
(-4)^2
16
Answer:
- x = ±√3, and they are actual solutions
- x = 3, but it is an extraneous solution
Step-by-step explanation:
The method often recommended for solving an equation of this sort is to multiply by the product of the denominators, then solve the resulting polynomial equation. When you do that, you get ...
... x^2(6x -18) = (2x -6)(9)
... 6x^2(x -3) -18(x -3) = 0
...6(x -3)(x^2 -3) = 0
... x = 3, x = ±√3
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Alternatively, you can subtract the right side of the equation and collect terms to get ...
... x^2/(2(x -3)) - 9/(6(x -3)) = 0
... (1/2)(x^2 -3)/(x -3) = 0
Here, the solution will be values of x that make the numerator zero:
... x = ±√3
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So, the actual solutions are x = ±3, and x = 3 is an extraneous solution. The value x=3 is actually excluded from the domain of the original equation, because the equation is undefined at that point.
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<em>Comment on the graph</em>
For the graph, we have rewritten the equation so it is of the form f(x)=0. The graphing program is able to highlight zero crossings, so this is a convenient form. When the equation is multiplied as described above, the resulting cubic has an extra zero-crossing at x=3 (blue curve). This is the extraneous solution.