Answer:
x=8
Step-by-step explanation:
firstly take 30+18 which equals 48 and then divide that by six which will give you 8 as your answer
keeping in mind that parallel lines have the same exact slope, hmmmm what's the slope of the line above anyway?
![\bf 3y-x=-12\implies 3y=x-12\implies y=\cfrac{x-12}{3}\implies y = \cfrac{x}{3}-\cfrac{12}{3} \\\\\\ y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{3}}x-4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}](https://tex.z-dn.net/?f=%5Cbf%203y-x%3D-12%5Cimplies%203y%3Dx-12%5Cimplies%20y%3D%5Ccfrac%7Bx-12%7D%7B3%7D%5Cimplies%20y%20%3D%20%5Ccfrac%7Bx%7D%7B3%7D-%5Ccfrac%7B12%7D%7B3%7D%20%5C%5C%5C%5C%5C%5C%20y%20%3D%20%5Cstackrel%7B%5Cstackrel%7Bm%7D%7B%5Cdownarrow%20%7D%7D%7B%5Ccfrac%7B1%7D%7B3%7D%7Dx-4%5Cqquad%20%5Cimpliedby%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20slope-intercept~form%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y%3D%5Cunderset%7By-intercept%7D%7B%5Cstackrel%7Bslope%5Cqquad%20%7D%7B%5Cstackrel%7B%5Cdownarrow%20%7D%7Bm%7Dx%2B%5Cunderset%7B%5Cuparrow%20%7D%7Bb%7D%7D%7D%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D)
so we're really looking for the equation of a line whose slope is 1/3 and runs through (18,2)
![\bf (\stackrel{x_1}{18}~,~\stackrel{y_1}{2})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{18}) \\\\\\ y-2=\cfrac{1}{3}x-6\implies y=\cfrac{1}{3}x-4](https://tex.z-dn.net/?f=%5Cbf%20%28%5Cstackrel%7Bx_1%7D%7B18%7D~%2C~%5Cstackrel%7By_1%7D%7B2%7D%29~%5Chspace%7B10em%7D%20%5Cstackrel%7Bslope%7D%7Bm%7D%5Cimplies%20%5Ccfrac%7B1%7D%7B3%7D%20%5C%5C%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Bpoint-slope%20form%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y-y_1%3Dm%28x-x_1%29%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%5Cimplies%20y-%5Cstackrel%7By_1%7D%7B2%7D%3D%5Cstackrel%7Bm%7D%7B%5Ccfrac%7B1%7D%7B3%7D%7D%28x-%5Cstackrel%7Bx_1%7D%7B18%7D%29%20%5C%5C%5C%5C%5C%5C%20y-2%3D%5Ccfrac%7B1%7D%7B3%7Dx-6%5Cimplies%20y%3D%5Ccfrac%7B1%7D%7B3%7Dx-4)
Answer:
C. 40
Step-by-step explanation:
20 + 4x = 180
subtract 20 from both sides
4x = 160
Divide both sides by
x = 40
The factors are therefore; (4x – 3), (x + 3) and (x – 1)
<h3>What is a polynomial?</h3>
A polynomial is is a function that contains an algebraic term which is raised to a particular power.
- If it is raised to power 1 it is linear
- If it is raised to power 2 it is quadratic
- If its is raised to power 3 it is cubic
- If it i raised to power 3 it is quartic
Now we have;
4x³ + 5x² – 18x + 9
Thus we can write;
4x³ – 3x² + 8x² – 6x – 12x + 9
Using the factors;
x²(4x – 3) + 2x(4x² – 3) – 3(4x – 3)
Therefore;
(4x – 3)(x² + 2x– 3)
(4x – 3)(x² + 3x – x – 3)
(4x – 3)(x + 3)(x – 1)
The factors are therefore; (4x – 3), (x + 3) and (x – 1)
Learn more about polynomials:brainly.com/question/21334281
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Answer:
X= -50
Step-by-step explanation:
Remove the parenthesis
multiply both sides by two
x - 6 = -56
Move the 6 to the other side
x = -56 + 6
x = -50