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seropon [69]
3 years ago
6

The graph of the function f(x)=6/x-3 is shown below. What is the vertical asymptote of the function

Mathematics
2 answers:
amm18123 years ago
6 0

Answer:

The vertical asymptote is x=3

Step-by-step explanation:

we know that

The vertical asymptote is the value of x that makes the denominator equal to zero:

In this problem we have

f(x)=\frac{6}{x-3}

x-3=0

Solve for x:

x-3+3=0+3

x=3

The vertical asymptote is x=3

see the attached figure to better understand the problem

lora16 [44]3 years ago
3 0

Answer:

d) x=3

Step-by-step explanation:

right on edge 2020

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What is 1/10 of 1000 what is 1% out of 100
Ulleksa [173]
To get 1/10 ->  1000/10 =100
and 1% of 100 -> 100/100 = 1 or 1%

100 for question 1
1 for q2

3 0
3 years ago
Need help please help me
Ostrovityanka [42]
The solution is the point of intersection between the two equations.

Assuming you have a graphing calculator or a program to lets you graph equations (I use desmos) you simply put in the equetions and note down the coordinates of the point of intersection.

In the graph the first equation is in blue and the second in red.

The point of intersection = the solution = (-6 , -1)



If you dont have access to a graphing calculator you could draw the graphs by hand;

1) Draw a table of values for each equation; you do this by setting three or four values for x and calculating its image in y (you can use any values of x)

y = 0.5 x + 2 (Im writing 0.5 instead of 1/2 because I find its easier in this format)

x | y
-1 | 1.5 * y = 0.5 (-1) + 2 = 1.5
0 | 2 * y = 0.5 (0) + 2 = 2
1 | 2.5 * y = 0.5 (1) + 2 = 2.5
2 | 3 * y = 0.5 (2) + 2 = 3

y = x + 5

x | y
-1 | 4 * y = (-1) + 5 = 4
0 | 5 * y = (0) + 5 = 5
1 | 6 * y = (1) + 5 = 6
2 | 7 * y = (2) + 5 = 7

2) Plot these point on the graph
I suggest to use diffrent colored points or diffrent kinds of point markers (an x or a dot) to avoid confusion about which point belongs to which graph

3) Using a ruler draw a line connection all the dots of one graph and do the same for the other

4) The point of intersection is the solution

8 0
3 years ago
Read 2 more answers
What is the multiplicative rate of change of the function shown on the graph? Express your answer in decimal form. Round to the
allsm [11]
In linear models there is a constant additve rate of change. For example, in the equation y = mx + b, m is the constanta additivie rate of change.


In exponential models there is a constant multiplicative rate of change.


The function of the graph seems of the exponential type, so we can expect a constant multiplicative exponential rate.


We can test that using several pair of points.


The multiplicative rate of change is calcualted in this way:

 [f(a) / f(b) ] / (a - b)

Use the points given in the graph: (2, 12.5) , (1, 5) , (0, 2) , (-1, 0.8)

[12.5 / 5] / (2 - 1) = 2.5


[5 / 2] / (1 - 0) = 2.5


[2 / 0.8] / (0 - (-1) ) = 2.5


Then, do doubt, the answer is 2.5





6 0
3 years ago
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Which values from the given replacement set make up the solution set of the inequality?
ziro4ka [17]
8,9,10
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3 years ago
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Doss [256]

Answer:

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Step-by-step explanation:

They have the same angle measure because the angles are corresponding angles.

6 0
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