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Olin [163]
2 years ago
11

The length of a rectangle is four more than three times its width. the area of the rectangle is 25. write an algebraic model for

this situation. solve the equation to find the dimensions of the rectangle.
Mathematics
1 answer:
Dafna11 [192]2 years ago
4 0

width (w) = w

Length (L) = 3w + 4

Area (A) = L x w

25 = (3w + 4)w

25 = 3w² + 4w

0 = 3w² + 4w - 25

w = \frac{-2 +/-\sqrt{79} }{3}

w ≈ 2.3, w ≈ -3.6 (width cannot be negative!)

w ≈ 2.3

Length (L) = 3w + 4 = 3(2.3) + 4 = 6.9 + 4 = 10.9

Answer: width=2.3, Length=10.9

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masya89 [10]

The value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.

<h3>What is logarithmic regression?</h3>

Logarithmic regression is a type of regression which is used to model the statement in which the growth or decay initially at rapid rate, and then slow down with respect to time.

The data of the table for the day and height of the stalk of corn is listed below.

Day (<em>x</em>)                9    12    22    40    

Height (<em>y</em>) in        5    17    45    60  

Mean of x values,

m_x=\dfrac{9+12+22+40}{4}\\m_x=17.5581

Mean of y values,

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For the above table, the value of correlation coefficient is 0.99133. For these values, the logarithmic regression can be given as,

y = -76.2038+37.6735\ln(x)

Compare it with the following logarithmic regression equation, we get

y = a+b\ln(x)

a=-76.2038\\b=37.6735

Hence, the value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.

Learn more about the logarithmic regression here;

brainly.com/question/25226042

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4 0
3 years ago
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