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>
Answer:
standard form
Step-by-step explanation:
If he once traveled 36 hours and he takes 6 hour trips you do
10x3=30 so every six hours he takes 30 minute brakes then 36 divided by 6 equlas 6 you would do 30x6= the answer!!! (Btw i do 6th grade math)
Answer:
x=4/3
Step-by-step explanation:
cross multiple and solve from there
6x+8=16
6x+8-8=16-8
6x=8
×=8/6
simplify
x=4/3
Answer: Hello there!
we have the equation a(n) = (1/2)n - 1 for n ≥ 1
First we need the first five terms:
a(1) = (1/2)*1 - 1 = -1/2
a(2) = (1/2)*2 - 1 = 0
a(3) = (1/2)*3 - 1 = 1/2
a(4) = (1/2)*4 - 1 = 1
a(5) = (1/2)*5 - 1 = 3/2
then we can see that each term is 1/2 bigger than the previous one, then a recursive relation can be written as:
a(n) = a(n-1) + 1/2
where n ≥ 2, and a(1) = -1/2
