Answer: 4x² + 5x + 3
<u>Step-by-step explanation:</u>
![\dfrac{4x^3+5x^2+3x}{x}\\\\\\=\dfrac{x(4x^2+5x+3)}{x}\qquad \text{factored out the common term from the numerator}\\\\\\=4x^2+5x+3\qquad \text{canceled out x from numerator and denominator}](https://tex.z-dn.net/?f=%5Cdfrac%7B4x%5E3%2B5x%5E2%2B3x%7D%7Bx%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7Bx%284x%5E2%2B5x%2B3%29%7D%7Bx%7D%5Cqquad%20%5Ctext%7Bfactored%20out%20the%20common%20term%20from%20the%20numerator%7D%5C%5C%5C%5C%5C%5C%3D4x%5E2%2B5x%2B3%5Cqquad%20%5Ctext%7Bcanceled%20out%20x%20from%20numerator%20and%20denominator%7D)
The function of the length z in meters of the side parallel to the wall is A(z) = z/2(210 - z)
<h3>How to write a function of the length z in meters of the side parallel to the wall?</h3>
The given parameters are:
Perimeter = 210 meters
Let the length parallel to the wall be represented as z and the width be x
So, the perimeter of the fence is
P = 2x + z
This gives
210 = 2x + z
Make x the subject
x = 1/2(210 - z)
The area of the wall is calculated as
A = xz
So, we have
A = 1/2(210 - z) * z
This gives
A = z/2(210 - z)
Rewrite as
A(z) = z/2(210 - z)
Hence, the function of the length z in meters of the side parallel to the wall is A(z) = z/2(210 - z)
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Answer:
A = $ 1,987,379.10 + 700,000= $2,687,379.10
Step-by-step explanation:
15% = 0.15 rate per tear
A = P (1+r/n)^nt
A = 700,000 (1+0.015/12)^12*7
A = 700,000 (1+0.0125)^84
A = 700,000 ((0.9875)^84
A = 700,000 (2.839113)
Answer:
See Below (Isolate the variables)
Step-by-step explanation:
13) d = 4AM solve for M
Divide both sides by 4A
![\frac{d= 4AM}{4A}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%3D%204AM%7D%7B4A%7D)
![\frac{d}{4A} = M](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7B4A%7D%20%3D%20M)
14)
= f+h solve for A
Multiply both sides by 6
A = 6( f+h)
15) h - m = qb solve for H
Add m to both sides
h - m = qb
+ m +m
h = qb + m
No, all parallelograms are not squares because squares have to have all 90 degree angles, while parallelograms don't