Answer:
![\large\boxed{x=\dfrac{4a^2+3a}{9-2a}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bx%3D%5Cdfrac%7B4a%5E2%2B3a%7D%7B9-2a%7D%7D)
Step-by-step explanation:
![\dfrac{3x-a}{x+2a}=\dfrac{2a}{3}\qquad\text{cross multiply}\\\\(3)(3x-a)=(2a)(x+2a)\qquad\text{use the distributive property}\\\\(3)(3x)+(3)(-a)=(2a)(x)+(2a)(2a)\\\\9x-3a=2ax+4a^2\qquad\text{add}\ 3a\ \text{to both sides}\\\\9x=2ax+4a^2+3a\qquad\text{subtract}\ 2ax\ \text{from both sides}\\\\9x-2ax=4a^2+3a\qquad\text{distributive}\\\\(9-2a)x=4a^2+3a\qquad\text{divide both sides by}\ (9-2a)\neq0\\\\x=\dfrac{4a^2+3a}{9-2a}](https://tex.z-dn.net/?f=%5Cdfrac%7B3x-a%7D%7Bx%2B2a%7D%3D%5Cdfrac%7B2a%7D%7B3%7D%5Cqquad%5Ctext%7Bcross%20multiply%7D%5C%5C%5C%5C%283%29%283x-a%29%3D%282a%29%28x%2B2a%29%5Cqquad%5Ctext%7Buse%20the%20distributive%20property%7D%5C%5C%5C%5C%283%29%283x%29%2B%283%29%28-a%29%3D%282a%29%28x%29%2B%282a%29%282a%29%5C%5C%5C%5C9x-3a%3D2ax%2B4a%5E2%5Cqquad%5Ctext%7Badd%7D%5C%203a%5C%20%5Ctext%7Bto%20both%20sides%7D%5C%5C%5C%5C9x%3D2ax%2B4a%5E2%2B3a%5Cqquad%5Ctext%7Bsubtract%7D%5C%202ax%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5C%5C%5C9x-2ax%3D4a%5E2%2B3a%5Cqquad%5Ctext%7Bdistributive%7D%5C%5C%5C%5C%289-2a%29x%3D4a%5E2%2B3a%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%7D%5C%20%289-2a%29%5Cneq0%5C%5C%5C%5Cx%3D%5Cdfrac%7B4a%5E2%2B3a%7D%7B9-2a%7D)
Answer:
x(4x + 3)(4x + 1).
Step-by-step explanation:
16x^3 + 16x^2 + 3x
First take out the x:
= x(16x^2 + 16x + 3)
= x(16x^2 + 4x + 12x + 3)
= x(4x(4x + 1) + 3(4x + 1))
= x(4x + 3)(4x + 1) (answer).
The answer is: C - x^3 + 27
The sections of the garden is an illustration of fractions
The number sentence best shows whether Imelda is correct is 1/2 ÷ 3
<h3>How to determine the number sentence?</h3>
From the question, we understand that she plants in 1/2 of the garden
Then 1/2 of the garden is divided into 3 sections, one of which is used to plant tulips
So, the area in which tulips are planted is:
Tulip = 1/2 ÷ 3
Hence, the number sentence best shows whether Imelda is correct is 1/2 ÷ 3
Read more about number sentence at:
brainly.com/question/24744861