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BaLLatris [955]
3 years ago
5

Anona hires a decorator to redecorate her bedroom. The decorator offers her 2 different plans: the basic plan has

Mathematics
1 answer:
ElenaW [278]3 years ago
7 0

Answer:

The correct option is;

x³ + 4·x² + 3·x  < x³ + 13·x² + 54·x + 72.

Step-by-step explanation:

The given parameters are;

The basic plan of the decorator = x wall-color options, x + 1 ceiling-colr options, and x + 3 floor options

The gold plan of the decorator = All of the basic plan options plus 3 additional options in each category

Therefore, the gold plan of the decorator = (x + 3) wall-color options, (x + 1 + 3) ceiling-color options, and (x + 3 + 3) floor options

The total number unique layouts offered by the basic plan = x × (x + 1) × (x + 3) = x³ + 4·x² + 3·x

Also, the total number unique layouts offered by the gold plan = (x + 3) × (x + 1 + 3) × (x + 3 + 3) = (x + 3) × (x + 4) × (x + 6)  = x³ + 13·x² + 54·x + 72

Which gives;

The comparison between the total number of unique layouts offered by the basic and gold plans  as x³ + 4·x² + 3·x  < x³ + 13·x² + 54·x + 72.

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I got a hold on hood for the
3 0
2 years ago
Pls help :Find the missing side or angle.<br> Round to the nearest tenth.
Nitella [24]

Answer:

C° = 71.6056

Step-by-step explanation:

Law of Cosines: c² = a² + b² - 2abcosC°

Step 1: Plug in known variables

29² = 30² + 15² - 2(30)(15)cosC°

Step 2: Evaluate

841 = 900 + 225 - 900cosC°

-59 = 225 - 900cosC°

-284 = -900cosC°

71/225 = cosC°

cos⁻¹(71/225) = C°

C° = 71.6056

And we have our answer!

7 0
3 years ago
Read 2 more answers
Suzanne bought 50 apples at the apple orchard. She bought 4 times as many red apples as green apples. How many more red apples t
Natali [406]
Let x = the number of green apples, let 4x = the number of red apples
4x + x = 50         Set up the quation
5x = 50               Combine like terms
----   ----               Divide by 5 on both sides to get x alone
5      5
x = 10 green apples
4x = 4(10) = 40 red apples 

40 - 10 = 30. Suzanne bought 30 more red apples than green apples.

3 0
3 years ago
If f(x)=-2x+9, then find the value of the x value that makes F(x)=-22
Lostsunrise [7]
-22 = -2x + 9
-31 = -2x
-31/-2 = x
x = 15.5 
5 0
3 years ago
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
andriy [413]

Answer:

44.1

Step-by-step explanation:

Cosine = Adjacent over Hypotenuse

Adjacent of ∠T = 28 and hypotenuse = 39

Which means that  cos(x)=\frac{28}{39}

Now we solve for x

To get rid of the "cos" we take the inverse of cos ( which is cos^-^1 ) and apply it to each side

cos^-^1((cos)x) = x\\cos^-^1(\frac{28}{39} )=44.11461855

We're left with x = 44.11461855

Our last step is to round to the nearest tenth and we get that the answer is 44.1

3 0
3 years ago
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