Answer:
Step-by-step explanation:
I'm seeing that f(x) is
What you do to find an inverse is switch the x and y coordinates and then solve for the new y. Switching the x and y gives us:
Now we have to solve for the new y. Begin by muliplying both sides by 6 to get:
6x = 3y - 2 and
6x + 2 = 3y so
2x + 2/3 = y
To put it back into function notation:
The answer would be the first image.
Step-by-step explanation:
From context, it appears that to be circumscribed is to be drawn about; thus the square circumscribed about the circle is the first graph.
Answer:
Y = -0.09594X + 74.35629
Step-by-step explanation:
Given the data :
Job average annual salary (X) :
81
96
70
70
70
92
92
100
98
102
Stress tolerance (Y) :
69
62
67.5
71.3
63.3
69.5
62.8
65.5
60.1
69
Using technology, the linear model Obtian by fitting the given data is :
Y = -0.09594X + 74.35629 ;
Where ;
Y = stress tolerance (dependent variable)
X= Average annual salary (Independent variable)
Slope = 0.09594
Intercept = 74.35629
Answer:
The standard form of the equation is -3x + y = -19
Step-by-step explanation:
To find the standard form, we first need to note that the slope will be 3 since parallel lines have the same slope. Then we can use point-slope form and manipulate into standard form.
y - y1 = m(x - x1)
y - 5 = 3(x - 8)
y - 5 = 3x - 24
-3x + y - 5 = -24
-3x + y = -19
The equation of the quadratic function shown in the graph y - 8 = -2(x + 1)².
<h3>How to illustrate the graph?</h3>
The vertex of this parabola is (-1, 8). It opens downward, so the x² term has a negative coefficient. The zeros are (-3, 0) and (1, 0), and the y-intercept is (0, 7).
Through the vertex form of the equation of a parabola we get:
y - (8) = a(x - (-1)) + 7, or.y - 8 = a(x + 1)².
Find coefficient a by substituting the coordinates (-3, 0) in this equation:
0 - 8 = a(-3 + 1)^2, or
-8 = a(-2)² or a = -2
The desired equation is y - 8 = -2(x + 1)^2
Learn more about graph on:
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