Answer:
y = - 3x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 2y = 14 + 
x into this form
Divide all terms by 2
y = 7 + 
x ← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - 3, hence
y = - 3x + c ← is the partial equation of the perpendicular line
To find c substitute (- 2, 8) into the partial equation
8 = 6 + c ⇒ c = 8 - 6 = 2
y = - 3x + 2 ← equation of perpendicular line
Answer:
f(g(x)) = 9x^2 + 15x - 6
Step-by-step explanation:
We are using function g(x) = 3x - 1 as the input to function f(x) = x^2 + 7x.
Starting with f(x) = x^2 + 7x, substitute g(x) for x on the left side and likewise substitute x^2 + 7x for each x on the right side. We obtain:
f(g(x)) = (3x - 1)^2 + 7(3x - 1).
If we multiply this out, we get:
f(g(x)) = 9x^2 - 6x + 1 + 21x - 7, or
f(g(x)) = 9x^2 + 15x - 6
Answer:
0.25
Step-by-step explanation:
the unit rate in this case is the cost per line, you decide 2.00 by 8
2.00/8=0.25
Answer:
y = -7/6x
Step-by-step explanation:
y - y1 = m*(x-x1)
m=y/x
y - (-7) = -7/6*(x-6)
y + 7 = -7/6x + 7
y = -7/6x + 7 - 7
y = -7/6
The x-intercepts and the y-intercepts of the function is that determines the graph is:
- x-intercepts = (-5,0) and (-1,0)
- y-intercepts = (0,2)
<h3>How do we graph the function y = f(x) of an absolute equation?</h3>
The function of an absolute equation can be graphed by determining the values of x-intercepts and the y-intercepts of the function.
From the given equation:
y = 2|x+3| - 4
To determine the y-intercepts, we need to set the values of x to zero, and vice versa for x-intercepts.
By doing so, the x-intercepts and the y-intercepts of the function is:
- x-intercepts = (-5,0) and (-1,0)
- y-intercepts = (0,2)
Therefore, since we know the x and y-intercepts, the graph of the absolute value can be seen as plotted below.
Learn more about determining the graph of an absolute equation here:
brainly.com/question/2166748
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