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Igoryamba
3 years ago
14

Hey guys i need help :) :) its due tomorrow so plz hurry :) :)

Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
7 0
The photo is a grey screen... I’m sorry.
sashaice [31]3 years ago
5 0
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<img src="https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B3x-6%7D%7B5-2x%7D" id="TexFormula1" title="f(x)=\frac{3x-6}{5-2x}" alt="f
Svetradugi [14.3K]

i) The given function is

f(x)=\frac{3x-6}{5-2x}

The domain is all real values except the ones that will make the denominator zero.

5-2x=0

-2x=-5

x=2.5

The domain is all real values except, x=2.5.

ii) To find the vertical asymptote, we equate the denominator to zero and solve for x.

5-2x=0

-2x=-5

x=2.5

iii) If we equate the numerator to zero, we get;

3x-6=0

3x=6

This implies that;

x=2

iv) To find the y-intercept, we put x=0 into the given function to get;

f(0)=\frac{3(0)-6}{5-2(0)}.

f(0)=\frac{-6}{5}.

f(0)=-\frac{6}{5}.

v)

The degrees of both numerator and the denominator are the same.

The ratio of the coefficient of the degree of the numerator to that of the denominator will give us the asymptote.

The horizontal asymptote  is y=-\frac{3}{2}.

vi) The function has no common factors that are at least linear.

The function has no holes in it.

vii) This rational function has no oblique asymptotes because it is a proper rational function.

3 0
3 years ago
What is the lowest value of the range of the function
Alex Ar [27]

The lowest value of the range of the function shown in the graph is -2.

<h3>What is range of a function?</h3>

The range of a function is the set of its possible output values.

In other words, the range of a function is the complete set of all possible resulting values of the dependent variable (y), after we have substituted the domain or independent variables.

The range value are the y values of the graph shown.

Therefore, the lowest value of the range of the function shown on the graph is -2.

learn more on range here: brainly.com/question/9384609

#SPJ1

6 0
1 year ago
A large aquarium should contain 10,000 liters of water when it is filled correctly. Fish will get sick if the aquarium gets down
pashok25 [27]

Answer:

9016 litres left

Step-by-step explanation:

The fish were not sick.

You would multiply 20.5 by 48 which is the amount of hours in 2 days then subtract that amount from 10000 to see how much is left

8 0
3 years ago
What does the y-coordinate have to be for a point to be on the x-axis?​
vesna_86 [32]

Step-by-step explanation:

If we're talking about something like y coordinate being on the x axis, I'd have to say 0. Because it would be on the y axis no matter the coordinates of it isn't a 0. Ex : (0,0) and (0,9). (0,9) would have the point going upwards on the y axis.

3 0
1 year ago
If a and b are positive numbers, find the maximum value of f(x) = xa(7 â x)b on the interval 0 ⤠x ⤠7.
algol [13]
Given f(x)=x^a(7-x)^b on the interval 0 ≤ x ≤ 7, for maximum value, f'(x) = 0.

f'(x)=0 \\  \\ \Rightarrow -bx^{a}(7-x)^{b-1}+ax^{a-1}(7-x)^b=0 \\  \\ \Rightarrow ax^{a-1}(7-x)^b=bx^{a}(7-x)^{b-1} \\  \\ \Rightarrow a(7-x)=bx \\  \\ \Rightarrow (a+b)x=7a \\  \\ \Rightarrow x= \frac{7a}{a+b}
8 0
3 years ago
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