<span>10/3 as a mixed number = 3 1/3
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Answer:
Step-by-step explanation:
5x + 2y = 20
Here we will show you how to calculate the following:
Calculate and show the solution for the x-intercept and y-intercept of 5x + 2y = 20.
Calculate the graph plot coordinates for 5x + 2y = 20
Solve 5x + 2y = 20 for x and also for y.
Calculate and show the solution for the slope of 5x + 2y = 20
Find x-intercept
The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.
5x + 2y = 20
5x + 2(0) = 20
x1 = 4 y1 = 0
Find y-intercept
The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.
5x + 2y = 20
5(0) + 2y = 20
y2 = 10 x2 = 0
Get Graph Plot Coordinates
Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x1,y1) and (x2,y2).
Thus, we use the x-intercept and y-intercept results above to get the graph plots for 5x + 2y = 20 as follows:
(x1,y1) and (x2,y2)
(4,0) and (0,10)
Find slope
The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 5x + 2y = 20
m = (y2 - y1)/(x2 - x1)
m = (10 - 0)/(0 - 4)
m = -2.5
Given:
To find:
The correct equivalent equation.
Solution:
We have,
Taking sin on both sides, we get
![[\because \sin (\sin^{-1}\theta )=\theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csin%20%28%5Csin%5E%7B-1%7D%5Ctheta%20%29%3D%5Ctheta%5D)
Interchanging the sides, we get
Therefore, the correct option is 4.
The descriptions of the transformations are:
- Vertex: (-6, 0)
- Stretch factor: 2
- Domain: set of all real numbers
- Range: set of real numbers greater than or equal to 0
<h3>How to describe transformations, graph, and state domain & range using any notation?</h3>
The function is given as:
f(x) = -2|x + 6|
The above function is an absolute value function, and an absolute value function is represented as:
f(x) = a|x - h| + k
Where
Vertex = (h, k)
Scale factor = a
So, we have:
a = -2
(h, k) = (-6, 0)
There is no restriction to the input values.
So, the domain is the set of all real numbers
The y value in (h, k) = (-6, 0) is 0
i.e.
y = 0
Because the factor is negative (-2), then the vertex is a minimum
So, the range is all set of real numbers greater than or equal to 0
Hence, the descriptions of the transformations are:
- Vertex: (-6, 0)
- Stretch factor: 2
- Domain: set of all real numbers
- Range: set of real numbers greater than or equal to 0
Read more about absolute value function at
brainly.com/question/3381225
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I think bc of the last comment it should be = no solutions or Ø
