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marshall27 [118]
3 years ago
10

A builder of modular homes would like to impress his potential customers with the variety of styles of his houses. For each hous

e there are blueprints for three different living rooms, four different bedroom configurations, and two different garage styles. In addition, the outside can be finished in cedar shingles or brick. How many different houses can be designed from these plans?
Mathematics
1 answer:
kiruha [24]3 years ago
5 0

Answer:

48 different houses can be designed from these plans.

Step-by-step explanation:

There are four options:

O1 - O2 - O3 - O4

O1 is the number of different living rooms. So O1 = 3.

O2 is the number of different bedroom configurations. So O2 = 4.

O3 is the number of different garage styles. So O3 = 2.

O4 is the number of different outside configurations. So O4 = 2.

In all,

T = 3*4*2*2 = 48

48 different houses can be designed from these plans.

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(x+16)²=12 plz help me and show work
Readme [11.4K]

Answer:

The answer is x=-16 ±2\sqrt{3} in exact form or x=-12.535898, x=-19.464102 in decimal form.

Step-by-step explanation:

To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring x+16, which will look like x^{2} +32x+256-12=0. Next, simplify the equation again, which will look like x^{2} +32x+244=0.

Then, use the quadratic formula to find the solutions. The quadratic formula looks like\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}.

For this problem, the quadratic variables are as follows:

a=1

b=32

c=244

The next step is to substitute the values a=1, b=32, and c=244 into the quadratic formula and solve. The quadratic formula will look like \frac{-32(+-)\sqrt{32^2-4(1*244)} }{2*1}. To simplify the equation, start by simplifying the numerator, which will look like x=\frac{-32(+-)4\sqrt{3} }{2*1}. Then, multiply 2 by 1 and simplify the equation, which will look like x=-16(+-)2\sqrt{3}. The final answer is x=-16 ±2\sqrt{3} in exact form. In decimal form, the final answer is x=-12.535898, x=-19.464102.  

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