Answer:
First Picture Answer:
x=0, x=2/3 are extraneous Solutions
Second Picture Answer:
(-infinity, -3)(-3, infinity)
Third Picture Answer:
x=3
Fourth Picture Answer:
x=0, x=2 is extraneous solution
Fifth Picture Answer:
x=3/2 is the vertical asymptote
Step-by-step explanation:
First Picture Answer:
x/4=x^2/x+2
Multiply each side with 4(x+2)
x(x+2)=4x^2
x^2+2x-4x^2=0
-3x^2+2x=0
Taking x Common
x(-3x+2)=0
x=0, -3x+2=0
x=0, x=2/3
Second Picture Answer:
f(x)=x-1/x+3
A rational function is simply a fraction and in a fraction the denominator cannot be equal zero because it would be undefined. To find which numbers make the fraction undefined, create an equation where the denominator is not equal to zero.
x+3 is not equal to 0
x is not equal to -3
so our domain is (-infinity, -3)(-3, infinity)
Third Picture Answer:
3x-5/7=4/7
Multiply with 7 on both sides
3x-5=4
3x-=9
x=9/3
x=3
Fourth Picture Answer:
4x^2=(3x^2+2)x
4x^2=3x^2+2x
4x^2-3x^2-2x=0
x^2-2x=0
x(x-2)=0
x=0, x-2=0
x=0, x=2
Fifth Picture Answer:
Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. Set the denominator of the above fraction equal to zero and solve, this will tell the values that x can not be:
2x-3=0
x=3/2
so x cannot be 3/2 which is the vertical asymptote
Answer:
width=x
length=5x
area= 300ft2
area=lxb
300=5x(x)
300=5x^2
x^2=60
x=7.74
7.74(5)=38.7
dimensions are 38.7ft by 7.74 ft
<u><em>Please mark as brainliest</em></u>
<h3>a. slope =
</h3><h3>b. slope = m = positive = positive correlation = two sets of data increase together</h3><h3>Further explanation</h3>
Scatter plot shows the relationship between data
We can use Regression to make lines on the chart or you can also make lines with the principle as close as possible to all points
Regression
Because data is in the form of numbers from the hand span length and height of each of students. not displayed clearly, then we make a line directly by making points on the graph above and below the line as much as possible to be balanced
We specify 2 points that are crossed by a line, for example:
(6.45) and (8.60)
slope (m) = change in y / change in x
Slope has a positive value, and shows a positive correlation where the tendency of the number rises simultaneously, or can be concluded:
<em>tall students will have the long hand span length too</em>
<h3>
Learn more</h3>
Line equation
brainly.com/question/10955762
Keywords : line equation, slope, regression, the hand span length and height, graph, Scatter plot
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Answer:
Step-by-step explanation:
I hope this helps you :)
Answer:
D) 8, 40, 41
Step-by-step explanation: