2x^3(x+1)-x(x+1)
(2x^3-x)(x+1)
x(2x^2-1)(x+1)
To solve for c, you need to get c onto one side of the equation, or make it c=__. So what I would do first is subtract a/b from both sides
a/b + c = d/c
-a/b
a/b - a/b + c = d/c - a/b
c = d/c-a/b
Answer:
The with and length of the original rectangle are:
width: 20 ft
Length: 30 ft
Step-by-step explanation:
Lets check
Yes, 30 is 10 longer then 20,
the area of the original is 600
if it was 40 and 30 then it would equal 1200
<span>a) Intervals of increase is where the derivative is positive
b) </span> <span>Intervals of decrease is where the derivative is negative. </span>
c) <span>Inflection points of the function are where the graph changes concavity that is the point where the second derivative is zero </span>
<span>d)
Concave up- Second derivative positive </span>
<span>Concave down- second derivative negative </span>
f(x) = 4x^4 − 32x^3 + 89x^2 − 95x + 31
<span>f '(x) = 16x^3 - 96x^2 + 178x - 95 </span>
<span>f "(x) = 48x^2 - 192x + 178 </span>
<span>By rational root theorem the f '(x) has one rational root and factors to: </span>
<span>f '(x) = (2x - 5)*(8x^2 - 28x + 19) </span>
<span>Using the quadratic formula to find it's two irrational real roots. </span>
<span>The f "(x) = 48x^2 - 192x + 178 only has irrational real roots, use quadratic formula which will be the inflection points as well.</span>
Answer:
For the table on the left the rate of change is 
For the table on the left the rate of change is 
Step-by-step explanation:
The range of change is the slope. The slope can be found with the following formula:
<u>For the table on the left</u>
Choose two points. In this case you can choose (-1,-24), (4,90)
You can say that:
Substituting these values into the formula, you get:
<u>For the table on the right</u>
Choose two points. You can choose (3,-6), (-6,12)
You can identify that:
Substituting these values into the formula, you get:
