Answer:
Step-by-step explanation:
The best way to do this is to use your LCM and eliminate the fractions. To find the LCM you have to use all the denominators as a multiplier so the denominator in each term cancels out. We will first factor the x-squared term to simplify and see what 2 factors are hidden there.
factors to (x + 2)(x - 2). That means that our 3 denominators that make up our LCM are x(x+2)(x-2). We will mulitply that in to each term in our rational equation, canceling out the denominators where applicable.
![x(x+2)(x-2)[\frac{2}{(x-2)}+\frac{7}{(x-2)(x+2)}=\frac{5}{x}]](https://tex.z-dn.net/?f=x%28x%2B2%29%28x-2%29%5B%5Cfrac%7B2%7D%7B%28x-2%29%7D%2B%5Cfrac%7B7%7D%7B%28x-2%29%28x%2B2%29%7D%3D%5Cfrac%7B5%7D%7Bx%7D%5D)
In the first term, the (x-2) will cancel leaving us with
x(x+2)[2] which simplifies to
![x^2+2x[2]](https://tex.z-dn.net/?f=x%5E2%2B2x%5B2%5D)
In the second term, the (x+2)(x-2) cancels out leaving us with
x[7].
In the last term, the x cancels out leaving us with
(x+2)(x-2)[5] which simplifies to
![x^2-4[5]](https://tex.z-dn.net/?f=x%5E2-4%5B5%5D)
Now we will distribute through each cancellation:
2x²+4x;
7x;
5x²-20
Putting them all together we have
2x² + 4x + 7x = 5x² - 20
Combining like terms gives us a quadratic:
3x² - 11x - 20 = 0
Factor that however you find it easiest to factor quadratics and get that
x = 5 and x = -4/3
Can you compare the graphs?
let me know if you cant
Answer:
x > 24
Step-by-step explanation:
- 1/2 x < -12
Multiply each side by -2, remembering to flip the inequality
-2 * -1/2x > -12 *-2
x > 24
9514 1404 393
Answer:
(A) 1/8 x 1/6
Step-by-step explanation:
Division by a number (or fraction) is the same as multiplication by its reciprocal. That is, division by 6 is the same as multiplication by 1/6.
(1/8) ÷ 6 = 1/8 × 1/6
__
<em>Additional comment</em>
The original division problem can also be formulated as ...
(1/8) ÷ (6/1) . . . . . matches choice D
In order to do this division, you would typically rewrite this to 1/8 × 1/6 (choice A).
Volume = base x width x height
Bill's Box is 8x20x6=960 cm^3
Martin's Box is 4x15x16=960 cm^3
Bill is right. The boxes have the same volume.
