Let's solve your equation step-by-step.<span><span>
6<span>(<span>x−1</span>)</span></span>=<span>9<span>(<span>x+2</span>)</span></span></span>
Step 1: Simplify both sides of the equation.<span><span>
6<span>(<span>x−1</span>)</span></span>=<span>9<span>(<span>x+2</span>)</span></span></span><span>
Simplify:</span><span><span><span><span>
(6)</span><span>(x)</span></span>+<span><span>(6)</span><span>(<span>−1</span>)</span></span></span>=<span><span><span>(9)</span><span>(x)</span></span>+<span><span>(9)</span><span>(2)</span></span></span></span>(Distribute)<span><span><span><span>
6x</span>+</span>−6</span>=<span><span>9x</span>+18</span></span><span><span><span>
6x</span>−6</span>=<span><span>9x</span>+18</span></span>
Step 2: Subtract 9x from both sides.<span><span><span><span>
6x</span>−6</span>−<span>9x</span></span>=<span><span><span>9x</span>+18</span>−<span>9x</span></span></span><span><span><span>
−<span>3x</span></span>−6</span>=18</span>
Step 3: Add 6 to both sides.<span><span><span><span>
−<span>3x</span></span>−6</span>+6</span>=<span>18+6</span></span><span><span>
−<span>3x</span></span>=24</span>
Step 4: Divide both sides by -3.<span><span><span>
−<span>3x</span></span><span>−3</span></span>=<span>24<span>−3</span></span></span><span>
x=<span>−8</span></span><span>
Answer: x= -8
-Hope I helped.</span>
When the number of data points is odd the formula to find the Ranking of the Median is (n+1)/2, When the number of data points is even the ranking of the Median will be the AVERAGE of n/2 + n/2 +1, where n is the number of data points.
In our case the ranking of the Median is the average (20+21)/2 = 20.5.
1- How many points are below the Median =20
Lower half = 20, Upper half = 20 & Median = 20.5 (Don't forget Median is the ranking of data points).
Again the 1st Quartile is at 10.5, so 10 data points are below the 1st Quartile
and 20 points are between Q1 & Q3
Answer:
x = ± 15
Step-by-step explanation:
Given f(x) = - 0.5x² and f(x) = - 112.5 , then equate right sides
- 0.5x² = - 112.5 ( divide both sides by - 0.5 )
x² = 225 ( take square root of both sides )
x = ± 
= ± 15
Answer:
a=360
Step-by-step explanation:
3600 divided by 10 is 360
identity used is
x³ + y³+ z³– 3xyz = (x + y + z) (x² + y² + z² – xy – yz – zx).
then use
(x+y+z)² = x²+y²+z²+2(xy+yz+xz)
225= 83 + 2(xy+yz+xz)
xy+yz+xz = (225-83)/2
xy+yz+xz= 142/2
xy+yz+xz= 71
ok
now use identity
x³ + y³+ z³– 3xyz = (x + y + z) (x² + y² + z² – xy – yz – zx).
now
x³ + y³+ z³– 3xyz = 15 (83 – xy – yz – zx).
= 15[83 - (71)]
= 15×12
=180
