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REY [17]
3 years ago
7

Any one like polynomials?

Mathematics
2 answers:
victus00 [196]3 years ago
8 0

Answer:

Area: 240x² - 72x - 240

Perimeter: 64x + 28

Dimensions: <em>l</em> = 60, <em>w</em> = 50

Step-by-step explanation:

<u>For Area:</u>

<u>Multiply length by width.</u>

(12x + 24) • (20x - 10)

<u>Let's foil this out (first, outer, inner, last)</u>

240x² - 120x + 48x - 240

<u>Simplify.</u>

240x² - 72x - 240

<u>For Perimeter</u>

Remember that a rectangle has <em>two</em> sets of matching parallel sides.

<u>Let's write out our equation.</u>

2(12x + 24) + 2(20x - 10)

<u>Distribute and break it down.</u>

24x + 48 + 40x - 20

<u>Simplify.</u>

64x + 28

<u>Perimeter For Given Value</u>

Now we'll solve for if the perimeter was 220 feet.

<u>Let's use the perimeter equation from above to find x.</u>

64x + 28 = 220

64x = 192

x = 3

<u>Now that we know x is 3, we'll substitute it into the equations in your question.</u>

12(3) + 24                        20(3) - 10

36 + 24                           60 - 10

60                                   50

The length is 60ft and the width is 50 ft.

GREYUIT [131]3 years ago
6 0

Answer:

2o.x that the anwers shs

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Karolina [17]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Number of families __________Expenditure

______midpoint (x) ____Town A __Town B

21-30 __25.5____________3 _______2

31-40 __35.5____________61 ______14

41-50 __45.5___________132 _____ 20

51-60 __55.5__________ 153 ______27

61-70 __65.5__________ 140 ______ 28

71-80 __75.5___________ 51 _______ 7

81-90 __85.5___________ 2 _______ 2

The variability is the variance and standard deviation :

The variance (s):

√Σ(x - m)²/Σf(x)

Town A:

m = Σ(X * f(x)) / Σf ; Σf = 542

Σ x * f(x) = (25.5*3) + (35.5*61) + (45.5*132) + (55.5*153) + (65.5*140) + (75.5*51) + (85.5*2)

= 29931 / 542

= 55. 22

Σf(x - m)² / Σf - 1 = [3(25.5-55.22)^2 + 61(35.5-55.22)^2 + 132(45.5-55.22)^2 + 153(55.5-55.22)^2 + 140(65.5-55.22)^2 + 51(75.5-55.22)^2 + 2(85.5-55.22)^2] / 541

= 76458. 4928 / 541

Variance = 141.32808

Standard deviation = √variance

Standard deviation = √141.32808

Standard deviation = 11.89

TOWN B:

m = Σ(X * f(x)) / Σf ; Σf = 100

Σ x * f(x) = (25.5*2) + (35.5*14) + (45.5*20) + (55.5*27) + (65.5*28) + (75.5*7) + (85.5*2)

= 5490 / 100

= 54.90

Variance :

Σf(x - m)² / Σf - 1 = [2(25.5-54.90)^2 + 14(35.5-54.90)^2 + 20(45.5-54.90)^2 + 27(55.5-54.90)^2 + 28(65.5-54.90)^2 + 7(75.5-54.90)^2 + 2(85.5-54.90)^2] / 99

= 16764 / 99

= 169.33

Standard deviation = √variance

Standard deviation = √169.3333

Standard deviation = 13.013

From the result above, Town A has lesser variability than Town B due to the slightly lower variance and standard deviation values.

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3 years ago
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Without graphing or solving, determine the number of solutions of the system.
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Step-by-step explanation:

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3 0
3 years ago
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Vadim26 [7]

Answer:

(7,2)

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Here you have the system of linear equations

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Let's solve this system by elimination.  Mult. the 1st eqn by 3, obtaining the system

3x + 3y = 27

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Thus, the solution to this system of equations is (7,2).


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2 years ago
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Answer:

\frac{1}{10x}

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