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laiz [17]
1 year ago
8

8w-6(w-4)=2(w+9) please help asap

Mathematics
1 answer:
uranmaximum [27]1 year ago
6 0

Answer:

w = -7.04 and 1.705

Step-by-step explanation:

First lets distribute.

We have 8w-6w(w-4), so let's distribute the -6w to w and -4

8w-6w^2+24w = 2(w+9)

Now for the other side we distribute 2 to w and 9

8w-6w^2+24w = 2w +18

Now we combine like terms

6w^2+32w = 2w +18

Carry both 2w and 18 to the other side

6w^2 +30w -18 = 0

Now we can factor the equation, i used the quadratic method which is x= -b+- the square root of b^2-4ac /2a (in this case x would be w)

Plugging that in:

x= -32 +- square root of 32^2 -4(6 * -18) / 2(6)

-32 +- square root of 1024 +1728 / 12

-32 +- square root of 2752 /12

-32 +- 52.46 /12

x = -32 - 52.46/12   and  -32 + 52.46/12

x=  -84.46/12      and      20.46/12

x= -7.04  and  1.705

so w = -7.04 and 1.705

Sorry this was so complicated, but I hope this helps

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Please help!!!!!!!!!!!!!
aivan3 [116]

Answers:

  • A
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Step-by-step explanation:

<em>We must simplify each option to see if they are equivalent to -\frac{3}{8}.</em>

<em>Lets try A.</em>

-\frac{6}{16} can be simplified to -\frac{3}{8} by dividing both the numerator and denominator by 3.

-\frac{6}{16} ÷ \frac{3}{3} = -\frac{3}{8}

A is correct!

<em>Lets try B</em>

\frac{12}{32} simplifies to \frac{3}{8}. However, because this answer is not negative, it is not equivalent.

<em>Lets try C</em>

There is a negative in the numerator, making this fraction negative. So yes, \frac{-3}{8} = -\frac{3}{8}.

  • Bonus Info: If there was a negative in both the numerator and denominator, the two negatives would cancel eachother out, making the fraction positive

C is correct!

<em>Lastly, Lets try D</em>

There is a negative in the denominator, so this fraction is negative. \frac{9}{-24} can be simplified by dividing by 3 to -\frac{3}{8}.

\frac{9}{-24} ÷3 = -\frac{3}{8}

D is correct!

  • Hope this helped you!~

<em />

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