Answer:
The factors are (x - 1)(x - 5)(x + 2).
Step-by-step explanation:
Long division:
x - 5 )x^3 - 4x^2 - 7x + 10( x^2 + x - 2 <--------- Quotient.
x^3 - 5x^2
x^2 - 7x
x^2 - 5x
- 2x + 10
-2x + 10
...........
x^ 2 + x - 2 = (x + 2)(x - 1).
Answer:
a. The critcal points are at
b. Then, 
is a maximum and 
is a minimum
c. The absolute minimum is at 
and the absolute maximum is at 
Step-by-step explanation:
(a)
Remember that you need to find the points where
Therefore you have to solve this equation.
From that equation you can factor out 
and you would get
And from that you would have 
, so 
.
And you would also have 
.
You can factor that equation as 
Therefore 
.
So the critcal points are at
b.
Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since
Then, is a maximum and is a minimum
c.
The absolute minimum is at and the absolute maximum is at
<span>x 2 + 2x + 1 if you wanted is just 4x+1
</span>
Answer:
70/5985
Step-by-step explanation:
We know that a quadrilateral needs to have four vertices (or points on the circle). There are always two ways to link the cross — horizontally or vertically. Using my limited knowledge of combinations, we know that choosing four points out of seven equals 35. Multiplying the two ways to connect those lines (again, horizontally and vertically) makes 35*2 = 70 "bow-tie quadrilaterals" that can be formed on the circle using four points. There are 5985 ways four chords can be chosen out of twenty-five chords because C(25,4) equals 5985, so the probability is 70/5985... and then we just need to simplify that fraction.
Ze Answer to Question:
(In order from most specific to least specific): Integer, Whole number, Counting/Natural Number, Rational Number...
Have a splendid day. My apologies if a sudden mistake is made.
