Answer:

The graph is also attached below.
Step-by-step explanation:
Given the function

- We know that the range of a function is the set of values of the dependent variable for which a function is defined.





Thus,

The graph is also attached below.
Answer:
Option D. No solutions
Step-by-step explanation:
we have
-----> equation A
----> equation B
Multiply by -3 both sides equation A

-----> equation C
Compare equation B and equation C
Equation B and equation C are parallel lines with different y-intercept
<u><em>Verify</em></u>
For x=0
<em>Equation C</em>
----->
The y-intercept is the point (0,0.5)
Equation B
----->
The y-intercept is the point (0,-0.5)
therefore
Lines do not intersect
The system has no solution
see the attached figure to better understand the problem
Answer:y = - 2x + 17
Step-by-step explanation:
The equation of a line, represented in the slope-intercept form, is
y = mx + c
Where
Slope = m
c = intercept
Looking at the equation given,
y=1/2x + 8
Slope,m = 1/2
If a line is perpendicular to a another line, then the slope of one line is equal to the negative reciprocal of the other line. It means that the slope of the perpendicular line that passes through that passes through ( 4, 9 ) will be -2
To determine c,
We will substitute m = -2, y = 9 and x = 4 into the slope intercept equation,
y = mx + c. It becomes
9 = -2 × 4 + c
9 = -8 + c
c = 9 + 8 = 17
The equation becomes
y = - 2x + 17
The answer is 3. Hope it helps
I think (2,3) but I’m not completely sure