Answer:
x = 4
Step-by-step explanation:
-(7-4x)=9
change the signs on both sides of the equation
7-4x=-9
move constant to the right hand side and change it’s sign
-4x=-9-7
calculate the difference
-4x=-16
divide both sides of the equation by -4
x=4
Answer:
c
Step-by-step explanation:
Answer: $3.98
Step-by-step explanation:
26.50 x 0.15 (because that’s equal to 15% which can also be written as 15/100)
=3.98
See the attachment for a labeled graph.
_____
I find it convenient to use "technology" to draw the graph. A spreadsheet, graphing calculator, or on-line graphing program can do this for you.
Option D:
The equation of a line in point-slope form is y = 3x – 7.
Solution:
Take any two points on the line given in the graph.
Let the points be (–4, 4) and (2, 2).
Slope of the given line:
<em>If two lines are perpendicular, then the product of their slopes are –1.</em>
Multiply by 3 on both sides of the equation.
Multiply by –1 on both sides of the equation.
⇒
Perpendicular line passes through the point (2, –1).
Here, .
Using point-slope form:
Subtract 1 on both sides of the equation.
The equation of a line in point-slope form is y = 3x – 7.
Therefore option D is the correct answer.