Answer:
Step-by-step explanation:
x³ = 4³ = 4 * 4 * 4 = 64
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He can buy 15 balloons
His budget (amount of money he can spend) is $50. If he spent $20 on the banner, that means he has $30 left. He wants to spend the rest on balloons $2 each. Simply- 30 divided by 2 which is 15
Add <span /><span><span><span><span><span><span>12</span></span><span /></span></span><span /></span><span>12</span></span> to both sides
<span /><span><span><span><span><span><span>8</span><span>x</span><span>=</span><span>5</span><span>x</span><span>+</span><span>15</span><span>+</span><span>12</span></span><span /></span></span><span /></span><span>8x=5x+15+12</span></span>
2<span> </span>Simplify <span /><span><span><span><span><span><span>5</span><span>x</span><span>+</span><span>15</span><span>+</span><span>12</span></span><span /></span></span><span /></span><span>5x+15+12</span></span> to <span /><span><span><span><span><span><span>5</span><span>x</span><span>+</span><span>27</span></span><span /></span></span><span /></span><span>5x+27</span></span>
<span /><span><span><span><span><span><span>8</span><span>x</span><span>=</span><span>5</span><span>x</span><span>+</span><span>27</span></span><span /></span></span><span /></span><span>8x=5x+27</span></span>
3<span> </span>Subtract <span /><span><span><span><span><span><span>5</span><span>x</span></span><span /></span></span><span /></span><span>5x</span></span> from both sides
<span /><span><span><span><span><span><span>8</span><span>x</span><span>−</span><span>5</span><span>x</span><span>=</span><span>27</span></span><span /></span></span><span /></span><span>8x−5x=27</span></span>
4<span> </span>Simplify <span /><span><span><span><span><span><span>8</span><span>x</span><span>−</span><span>5</span><span>x</span></span><span /></span></span><span /></span><span>8x−5x</span></span> to <span /><span><span><span><span><span><span>3</span><span>x</span></span><span /></span></span><span /></span><span>3x</span></span>
<span /><span><span><span><span><span><span>3</span><span>x</span><span>=</span><span>27</span></span><span /></span></span><span /></span><span>3x=27</span></span>
5<span> </span>Divide both sides by <span /><span><span><span><span><span><span>3</span></span><span /></span></span><span /></span><span>3</span></span>
<span /><span><span><span><span><span><span>x</span><span>=</span><span><span><span><span>27</span><span /></span><span><span>3</span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>x=273</span></span>
6<span> </span>Simplify <span /><span><span><span><span><span><span><span><span><span>27</span><span /></span><span><span>3</span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>273</span></span> to <span /><span><span><span><span><span><span>9</span></span><span /></span></span><span /></span><span>9</span></span>
<span /><span><span><span><span><span><span>x</span><span>=</span><span>9</span></span><span /></span></span><span /></span><span>x=9
</span></span>
The domain is all real numbers
