Given:
The function is
It defined on the interval -8 ≤ x ≤ 8.
To find:
The intervals on which the function is increasing and the interval on which decreasing.
Step-by-step explanation:
We have,
Differentiate with respect to x.
For turning point f'(x)=0.
Now, 0 divides the interval -8 ≤ x ≤ 8 in two parts [-8,0] and [0,8]
For interval [-8,0], f'(x)>0, it means increasing.
For interval [0,8], f'(x)<0, it means decreasing.
Therefore, the function is increasing on the interval [-8,0] and decreasing on the interval [0,8].
It’s 70%. 140/200=.7 and .7 to percentage is 70%
Answer: 
Step-by-step explanation:
Remove all those parentheses by multiplying. Note: 2 and 2 cancel out.
Subtract 2x
Combine like terms;
Divide by -3
Rewriting it;
Answer:
1.Isolate y
3y=10-8x
y=10/3-8/3x
2.Put in correct format (y=mx+b)
y=-8/3x+10/3
y= -8/3x+10/3
slope is -8/3 and y-intercept occurs in 10/3 or 3.333
Answer:
x−2x4+2x3−7x2−8x+12=x3+4x2+x−6
The rational root theorem suggests that other possible roots may be -6, 6, -3, 3, -2, 2, -1, and 1. It turns out that x=-2x=−2 is a root, since (-2)^3+4(-2)^2+(-2)-6=0(−2)3+4(−2)2+(−2)−6=0 , so x+2x+2 is also a factor and we have
\dfrac{x^4+2x^3-7x^2-8x+12}{(x-2)(x+2)}=x^2+2x-3(x−2)(x+2)x4+2x3−7x2−8x+12=x2+2x−3
Finally, we can factorize the remaining quotient easily:
x^2+2x-3=(x+3)(x-1)x2+2x−3=(x+3)(x−1)
so the other factors are x+2x+2 , x+3x+3 , and x-1x−1 .
