Given:
The table of values is
Number of Students : 7 14 21 28
Number of Textbooks : 35 70 105 140
To find:
The rate of change and showing that the ratios of the two quantities are proportional and equivalent to the unit rate.
Solution:
The ratio of number of textbooks to number of students are




All the ratios of the two quantities are proportional and equivalent to the unit rate.
Let y be the number of textbooks and x be the number of students, then

Here, k=5.


Hence the rate of change is constant that is 5.
Answer:


Step-by-step explanation:
Given [Missing from the question]
Equation:

Interval:


Required
Determine the values of 
The given expression:

... shows that the value of
is positive
The cosine of an angle has positive values in the first and the fourth quadrants.
So, we have:

Take arccos of both sides

--- In the first quadrant
In the fourth quadrant, the value is:


So, the values of
in degrees are:

Convert to radians (Multiply both angles by
)
So, we have:




Answer:
Step-by-step explanation:
-2x-14+10x=34
8x-14=34
8x=48
x=6
Answer:
=10x2+3x+4
Step-by-step explanation:
I hope this helps you
Answer:
42 and 44
Step-by-step explanation:
The even numbers are numbers which can be written as 2n where n is any integer number.
Therefore, two consecutive numbers would be "2n" and "2n + 2"
We then have that
2n + (2n+2) = 86
4n + 2 = 86
4n = 84
n = 21
And the even number 2n is 2(21) = 42.
(We can verify this answer by doing 42 + 44 = 86)