Answer:
we conclude that the function is one-to-one.
Step-by-step explanation:
A function will a one-to-one function if it
- passes the vertical line test to make sure it is indeed a function, and
- also a horizontal line test to make sure it is it one-to-one.
In other words,
The function will be one-to-one if it passes the vertical line test, and also if the horizontal line only cuts the graph of the function in one place.
The reason is that there must be only one x-value for each y-value.
Given the function
Have a look at the attached graph.
- The red portion represents the graph of the function .
- The green portion represents the graph of x=2 which is basically a vertical line test. Vertical line indicates that it cuts the cuts the graph of the function in one place. So it is clear that is indeed a function.
- The blue line represents the graph of y=9, which is basically a horizontal line test. Horizontal line indicates that it cuts the cuts the graph of the function in one place. So it is clear that is a one-to-one function, as there is only one x-value for each y-value.
Therefore, we conclude that the function is one-to-one.
Answer:
15/24 and 14/24
Step-by-step explanation:
24 being the total of girls over the total of students.
the remaining girls will be 14 over the total students
Answer:
4y+8
Step-by-step explanation:
21.
a. Ratio of blue: green
Length blue: length green
3:6 or 1:2
Width blue :width green
2:4 or 1:2
Perimeter blue: perimeter green
2+2+3+3=10: 4+4+6+6= 20 or 1 :2
Area blue: Area green
2•3=6 : 4•6= 24 or 1:4
b. The lenght, with and perimeter of the big green rectangle are double the size of the small blue rectangle.
The area of the big green rectangle is 4 times greater than the area of the small blue rectangle. So if the lenghts of a rectangle are doubled the perimeter is doubled and the area is 4 times biger than the area of the doubeled rectangle.
The formula for a circle's area is 
. We are given an area of 38.465 square inches for a quarter of it.
Multiply this value by 4 to compensate for the quarter circle.
Divide both sides by pi (Note: I'm using the conventional value of 3.14)
Take the positive square root of both sides
The radius is 7 inches. Let me know if you have any questions, thanks!
