Answer:
The value of k is -9
Step-by-step explanation:
Subsitute
g(x)=h(x)+k
subtract 
from both sides (or add 
to both sides)
4(x + 9) + 5x = 9x - 36
=> 4x + 36 + 5x = 9x - 36
=> 9x + 36 = 9x - 36
=> 9x - 9x = -36 - 36
=> 0 = -72
You can see that the equation doesn't hold true.
So there is no solution for this equation.
Answer is C. no real solutions
Answer:
<em>The correct answer is: A</em>
Step-by-step explanation:
<u>Points on a Numeric Line</u>
The numeric line shown in the figure has four points A, B, C, and D. It's clear that each marked division of the line has a value of 1/4 units and all four points are below the reference zero, thus all are negative.
Point A is clearly on the -2 mark, thus
A=-2
Point B is one mark above A, thus it's located at:
Point C is one mark below -1, thus:
Finally, point D is one mark below 0:
The correct answer is: A
The graph has a vertex at (3, -2). It extends upward from there linearly at a slope of -1 to the left and 1 to the right. It is the graph of an absolute value function. If we assume it keeps extending upwards the domain is all real numbers. (which is what i would assume even though there's no arrows it doesn't have decipherable endpoints). The range is y ≥ -2 with y -intercept (0,1), and x-intercepts: (5,0) & (1,0).
To write the equation for this function, I would acknowledge that it is the translation of the graph of the standard absolute value function: f(x) = |x| ; right 3 and down 2. Which would be to subtract 3 from x and subtract 2 from the end.
f(x) = |x - 3| - 2
