Given that: step 1
![3x+12=8x-18](https://tex.z-dn.net/?f=3x%2B12%3D8x-18)
step 2: subtract 3x both side
![\begin{gathered} 3x+12-3x=8x-3x-18 \\ 12=5x-18 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%203x%2B12-3x%3D8x-3x-18%20%5C%5C%2012%3D5x-18%20%5Cend%7Bgathered%7D)
Step 3: Add 18 both side:
![\begin{gathered} 12+18=5x-18+18 \\ 30=5x \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2012%2B18%3D5x-18%2B18%20%5C%5C%2030%3D5x%20%5Cend%7Bgathered%7D)
Step 4: divide both side by 5
![\begin{gathered} \frac{30}{5}=\frac{5x}{5} \\ 6=x \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B30%7D%7B5%7D%3D%5Cfrac%7B5x%7D%7B5%7D%20%5C%5C%206%3Dx%20%5Cend%7Bgathered%7D)
Step:6 The value of x is:
x=6
Answer:
D
Step-by-step explanation:
The function will be zero when the numerator is equal to 0. So, set the numerator equal to 0 and solve:
![0 = 4 {x}^{2} - 36x](https://tex.z-dn.net/?f=0%20%3D%204%20%7Bx%7D%5E%7B2%7D%20%20-%2036x)
I will use the quadratic formula:
![\frac{ 36 + \sqrt{ {36}^{2} - 4(4)(0)} }{2(4)} \\ \frac{ 36 + 36}{8} = 9](https://tex.z-dn.net/?f=%20%5Cfrac%7B%2036%20%20%2B%20%20%5Csqrt%7B%20%7B36%7D%5E%7B2%7D%20%20-%204%284%29%280%29%7D%20%7D%7B2%284%29%7D%20%20%5C%5C%20%20%5Cfrac%7B%20%2036%20%2B%2036%7D%7B8%7D%20%20%3D%209)
Therefore, x = 9 is a 0. Let's check with subtracted root now:
![\frac{ 36 - \sqrt{ {36}^{2} - 4(4)(0)} }{2(4)} \\ \frac{ 36 - 36}{8} = 0](https://tex.z-dn.net/?f=%20%5Cfrac%7B%2036%20%20%20-%20%20%20%20%5Csqrt%7B%20%7B36%7D%5E%7B2%7D%20%20-%204%284%29%280%29%7D%20%7D%7B2%284%29%7D%20%20%5C%5C%20%20%5Cfrac%7B%2036%20%20-%20%2036%7D%7B8%7D%20%20%3D%20%200)
It appears 0 is also a root.
Therefore, the answer is D.
Answer:
A. 6x + 4
B. 22 cm
Step-by-step explanation:
The perimeter of the triangle is equal to the sum of all the side lengths, which is (2x+3) + (x+1) + (3x), or 6x + 4.
When x = 3cm, the perimeter is 6(3) + 4, which is 22 cm.
Answer:
2,360
Step-by-step explanation:
18% of 2,000 is 360
(0.18)*(2,000)=360
2,000 + 360 = 2,360