The maximum number of turning points in a cubic function is 2.
In this case,
The discriminant is
, which means the derivative has no real roots. This means there are no critical points and thus no turning points/relative extrema.
Answer: did you ever get the answer ?
Step-by-step explanation:
Answer:
D. The population of California was approximately two times the population of Florida.
Step-by-step explanation:
California's population was 4 x 10^7= 40,000,000
Florida's population was 2 x 10^7= 20,000,000
So therefore Califirnia's population was approximately two times the population of Florida.
I hope this helps!!
Answer:
Skewed right
Step-by-step explanation:
Most of the data is to the right, so it's not skewed left.
Uniform is mostly even, so not that either.
Bell shape is centered and vaguely triangular, so incorrect, hence the only remaining option is skewed right.
Hope this helps :)
<em>Stay Cold, </em>
<em>Brook</em>
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
