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Lostsunrise [7]
3 years ago
8

Nannette installed a security system in her office for $150 the monthly monitoring fee is $30. So far, Nannette has spent $420 f

or her security system. For how many months has she had the service?
Mathematics
1 answer:
mojhsa [17]3 years ago
5 0

Answer:

9 Months

Step-by-step explanation:420 - 150 = 270

270/30 = 9


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Find the measure of the missing angle
Mnenie [13.5K]

Answer:

45 degrees

Step-by-step explanation:

All triangles equal 180 degrees so your just add the two existing angles which gets you 135 then you do 180-135, therefore giving you 45

3 0
3 years ago
A coat that usually costs $123 is marked off 1/3 (one-third) off. What is the sale price of the coat? Round to the nearest dolla
serg [7]
Basically you just divide:

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7 0
3 years ago
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Use the given zero to find the remaining zeros of each function f(x)=2x^4+5x^3+5x^2+20x-12 zero:-2i
frutty [35]

Answer:

1/2, 3

Step-by-step explanation:

This is a pretty involved problem, so I'm going to start by laying out two facts that our going to help us get there.

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In 2., I mentioned that both -2i and 2i must be zeroes of f(x). This means that both x-2i and x+2i are factors of f(x), and furthermore, their product, x^2+4, is <em>also</em> a factor. To see what's left after we factor out that product, we can use polynomial long division to find that

2x^4+5x^3+5x^2+20x-12=(x^2+4)(2x^2+5x-3)

I'll go through to steps to factor that second expression below:

2x^2+5x-3=2x^2+6x-x-3\\=2x(x+3)-(x+3)\\=(2x-1)(x+3)

Solving both of the expressions when f(x) = 0 gets us our final two zeroes:

2x-1=0\\2x=1\\x=1/2

x+3=0\\x=-3

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8 0
3 years ago
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Solve for x.
Ugo [173]

Area of rectangle = L × B

Where

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A = x × 5

45 = x × 5

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x = 9/1

x = 9 (units)

4 0
2 years ago
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Fill in the missing term in the equation. x/x^2-4x+4-x/x^2-3x+2=?/(x-2)^2(x-1)
emmainna [20.7K]
<span>           x                            x
-----------------  -  --------------------
x^2 -4x + 4            </span><span>x^2-3x+2

</span>           x                            x
= ----------------  -  --------------------
    (x -2)^2            (x - 2)(x - 1)

        x (x-1)  - x(x +2)                       
= ----------------------------
          (x -2)^2 (x - 1)

      x^2 -x -x^2 - 2x                    
= --------------------------
      (x -2)^2 (x - 1)

           -3x                    
= -----------------------
      (x -2)^2 (x - 1)

answer 
<span>missing term in the equation: -3x</span>
5 0
3 years ago
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