Answer:
A function is a relation that maps inputs from a set called the domain, into outputs from a set called the range.
Such that each input can be mapped into only one output.
So for example, if we have a relation that maps the input 2 into two different values:
f(2) = 4
f(2) = 8
Then this is not a function.
In the case of the problem, we have a student as the input, and the hair color as the output.
So we will have something like:
f(student) = blond
And if this student decides to change his/her hair color to red?
Then the function becomes:
f(student) = red
So for the same input, we had two different outputs, which means that this is not a function.
We also could have the case where a given student has two colors (Californian for example)
Where again, we would see two different outputs for one single input.
Answer:
4,212 people
Step-by-step explanation:
We are given;
- Dimensions of the football field are 120 yards by 54 yards
- 26 players can fit in a box measuring 5 yards by 8 yards
We are required to determine the number of people that can fit in the football field.
- We are going to get the area of the field first;
Area = length × Width
Area of the field = 120 yards × 54 yards
= 6480 square yards
- Then we get the area of the box
Area of the box = 5 yards × 8 yards
= 40 square yards
- We then determine the number of boxes that can fit in the football field
Number of boxes = Area of the foot ball field ÷ Area of one box
= 6480 sq yards ÷ 40 sq yards
= 162 boxes
But, 26 people can fit in one box
Therefore,
Total number of people that can fit in the field is given by multiplying the number of boxes that can fit in the field by the number of people in a box
That is, Number of people = 26 players × 162 boxes
= 4,212 people
Therefore, the number of people that can fit in the football field is 4,212 people.
Answer:
The value of x will be 8
Step-by-step explanation:
We have given that 
We have to find the value of x
As
For finding the value of x we have to square both side
On squaring both side
We done squaring both side for easy simplification
So x = 8
So the value of x will be 8
So answer will be 8
Using product rule;
f(x)=(1+6x²)(x-x²)
f'(x)=(12x)(x-x²) + (1-2x)(1+6x²) = 12x² -12x³ +1 +6x² -2x -12x³ = -24x³ +18x² -2x +1
Solving the bracket first;
f(x)=(1+6x²)(x-x²) = x -x² +6x³ -6x^4
f'(x)= 1 -2x +18x² -24x³ = -24x³ +18x² -2x +1
Answer: 8
Step-by-step explanation:
