The last one does not represent a function because for it to be a function none of the x’s can repeat and in the last one the 0 repeats.
To translate y - 5 into words:
a number y is decreased by 5
i hope this helps!!
Cos 210° = cos ( 180° + 30° ) - cos 30° = - √3/2
The solution to the equation is p = 1/3 and q = undefined
<h3>How to solve the equation?</h3>
The equation is given as:
p^2 - 2qp + 1/q = (p - 1/3)
The best way to solve the above equation is by the use of a graphing calculator i.e. graphically
However, it can be solved algebraically too (to some extent)
Recall that the equation is given as:
p^2 - 2qp + 1/q = (p - 1/3)
Split the equation
So, we have
p^2 - 2qp + 1/q = 0
p - 1/3 = 0
Solve for p in p - 1/3 = 0
p = 1/3
Substitute p = 1/3 in p^2 - 2qp + 1/q = 0
So, we have
(1/3)^2 - 2q(1/3) + 1/q = 0
This gives
1/9 - 2/3q + 1/q = 0
This gives
2/3q + 1/q = -1/9
Multiply though by q
So, we have
2/3q^2 + 1 = -1/9q
Multiply through by 9
6q^2 + 9 = -q
So, we have
6q^2 + q + 9 = 0
Using the graphing calculator, we have
q = undefined
Hence. the solution to the equation is p = 1/3 and q = undefined
Read more about equations at:
brainly.com/question/13763238
#SPJ1
ANSWER
See explanation
EXPLANATION
The table contains these two points (-4,-3) and (2,-4.5)
The slope of this line is given by;
The y-intercept can be obtained by finding the equation of the line in the form:
We plug in the slope and the point (-4,-3) to find c.
This implies that,
Hence the y-intercept is -4.
The given line is
This is already in the slope intercept form:
The slope is
The y-intercept is c=1
