<span>2.5<span>(<span><span>6x</span>−4</span>)</span></span>=<span><span><span><span><span>(10)</span><span>(4)</span></span><span>(1.5)</span></span><span>(0.5)</span></span><span>x
</span></span><span><span><span><span>(2.5)</span><span>(<span>6x</span>)</span></span>+<span><span>(2.5)</span><span>(<span>−4</span>)</span></span></span>=<span><span><span><span><span>(10)</span><span>(4)</span></span><span>(1.5)</span></span><span>(0.5)</span></span>x</span></span>(Distribute)<span><span><span><span>15x</span>+</span>−10</span>=<span>30x
</span></span><span><span><span>15x</span>−10</span>=<span>30<span>x
</span></span></span><span><span><span><span>15x</span>−10</span>−<span>30x</span></span>=<span><span>30x</span>−<span>30x</span></span></span><span><span><span>−<span>15x</span></span>−10</span>=<span>0
</span></span><span><span><span><span>−<span>15x</span></span>−10</span>+10</span>=<span>0+10</span></span><span><span>−<span>15x</span></span>=<span>10
</span></span><span><span><span>−<span>15x</span></span><span>−15</span></span>=<span>10<span>−15</span></span></span><span>x=<span><span>−2</span><span>3
</span></span></span>Answer:<span>x=<span><span>−2</span><span>3</span></span></span>
<span>
</span><span>
</span>
48 * 5 = 240
240 / 32 = 7.5 gallons a week ( $28.42)
Answer:
x = - 5, x = 2
Step-by-step explanation:
Using the rules of logarithms
log x - log y = log (
)
x = n ⇔ x = 
note that log x = 
x
Given
log (x² + 3x) - log10 = 0, then
log(
) = 0, thus
= 
= 1 ( multiply both sides by 10 )
x² + 3x = 10 ( subtract 10 from both sides )
x² + 3x - 10 = 0 ← in standard form
(x + 5)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 2 = 0 ⇒ x = 2
Solution is x = - 5, x = 2
#7 is A
For # 5 & 6 is there a multiplication sign between the numbers or is supposed to be a power or something else?
Each pair of numbers gives a value then another value that is 1/2 of the first. So the answer would be
6 = 3
