Let A( t , f( t ) ) be the point(s) at which the graph of the function has a horizontal tangent => f ' ( t ) = 0.
But, f ' ( x ) = [ ( x^2 ) ' * ( x - 1 ) - ( x^2 ) * ( x - 1 )' ] / ( x - 1 )^2 =>
f ' ( x ) = [ 2x( x - 1 ) - ( x^2 ) * 1 ] / ( x - 1 )^2 => f ' ( x ) = ( x^2 - 2x ) / ( x - 1 )^2;
f ' ( t ) = 0 <=> t^2 - 2t = 0 <=> t * ( t - 2 ) = 0 <=> t = 0 or t = 2 => f ( 0 ) = 0; f ( 2 ) = 4 => A 1 ( 0 , 0 ) and A 2 ( 2 , 4 ).
Answer: 2/3
Step-by-step explanation:
There are three sectors of equal area. 2 is one of the sectors. You can get 3 and 4. There are two total cases out of 3, so it's 2/3
Hope that helped,
-sirswagger21
The domain of the function is all real numbers, the range of a function is y ≤ 4
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = –(x + 6)(x + 2)
If we plot this function on the coordinate plane, we will see it is a graph of a quadratic function.
Here the no other details are given.
But we can say:
- The domain of the function is all real numbers.
- The range of a function is y ≤ 4
- The x-axis intercept will be at (-6, 0) and (-2, 0).
Thus, the domain of the function is all real numbers, the range of a function is y ≤ 4
Learn more about the function here:
brainly.com/question/5245372
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Answer:
1st one
Step-by-step explanation:
Because It is just like a right triangle.
Also, look at how the bird is formed, it looks like a right triangle.
Also, I know it's a right triangle because of the length given.
Hope this helped!
Answer:
value of x = 8
Step-by-step explanation:
if the given lines are parallel, then the shown pair of angles are corresponding angles,
and we know that the the pair of corresponding angles are equal so,
=》16x - 8 = 120
=》16x = 128
=》x = 128 ÷ 16
=》x = 8
