Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of a line in point slope form is

we have


substitute

The easiest way to graph a line is to calculate the intercepts
The<u><em> x-intercept </em></u>is the value of x when the value of y is equal to zero
For y=0



The x-intercept is the point (-6,0)
The <u><em>y-intercept</em></u> is the value of y when the value of x is equal to zero
For x=0




The y-intercept is the point (0,1.5)
Plot the intercepts and join the points to graph the line
(-6,0) and (0,1.5)
The graph in the attached figure
So first let’s put g(f(x)) together by putting f(x) for every x in g(x)
We get g(f(x))=3(3/4x+3)+4 which is the selling price equation
Then you plug in 20 to find the selling price for 20 muffins.
g(f(x))=3(3/4(20)+3)+4
g(f(x))=3(60/4+3)+4
g(f(x))=3(18)+4
g(f(x))=54+4
g(f(x))=58
So the selling price will be $58 for 20 muffins.
Answer:
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Step-by-step explanation:
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Answer:
The line equation that passes through the given points is 5x – 2y + 16 = 0
Explanation:
Given:
Two points are A(-2, 3) and B(0, 8).
To find:
The line equation that passes through the given two points.
Solution:
We know that, general equation of a line passing through two points (x1, y1), (x2, y2) is given by

.............(1)
here, in our problem x1 = 0, y1 = 8, x2 = -2 and y2 = 3.
Now substitute the values in (1)



2y – 16 = 5x
5x – 2y + 16 = 0
Hence, the line equation that passes through the given points is 5x – 2y + 16 = 0.