Answer:
x < 0
Step-by-step explanation:
Firstly put the values with variable x to one side,
; -12 - x > -12 + 4x
; -12 + 12 > 4x + x
; 0 > 5x
then divide both sides by 5,
; (0 ÷ 5) > (5x ÷ 5)
; 0 > x
; Hence the solution to the inequality above,
; x < 0...always remember to reverse the sign when you change the side to which you put the variable of x,
Therefore...( x < 0 )
Answer:
x not given
therefore no answer for x
Answer:
( 8,11)
Step-by-step explanation:
When x = 8 the output is 7
The new function
f(x) +4
when x = 8
The output is f(8) +4= 7+4 = 11
( 8,11)
Answer:
(2, -2) and (1,-3)
Step-by-step explanation:
The y-intercept means that the coordinate where the line touches the y-axis. In other words, the y value(-4) when x=0. The result is (0, -4). The y coordinate also can be used to fill c variable of y=mx + c
We have 2 coordinates now, (3, -1) and (0, -4), then we can find out the line equation. We need to find the slope (m), the formula will be:
m= y2-y1 / x2-x1=
m= -4 - (-1) / (0-3)
m= -3/-3= 1
The line equation is:
y= mx + c
y= 1x + (-4)
y= x-4
After you have the equation, you can try to test the point individually to find if any of them fit the equation. You can also draw a line on the graph and see if any point touches the graph.
Red dot is the two point we have, red line is straight line that made from both point, and blue point is the option. As you can see on the graph, the points that touch the line will be (2, -2) and (1,-3)