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Ostrovityanka [42]
3 years ago
5

How do you Factor c(squared)-8c ??

Mathematics
1 answer:
Talja [164]3 years ago
4 0
Group the like term 'c'
c(c-8)
You might be interested in
<img src="https://tex.z-dn.net/?f=f%28x%29%20-%20%5Cfrac%7Bx%5E%7B2%7D-4%20%7D%7Bx%5E%7B4%7D%20%2Bx%5E%7B3%7D%20-4x%5E%7B2%7D-4%
Llana [10]

a) The given function is

f(x)=\frac{x^2-4}{x^4+x^3-4x^2-4}

The domain refers to all values of x for which the function is defined.

The function is defined for

x^4+x^3-4x^2-4\ne0

This implies that;

x\ne -2.69,x\ne 1.83

b) The vertical asymptotes are x-values that makes the function undefined.

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

x^4+x^3-4x^2-4=0

This implies that;

x= -2.69,x=1.83

c) The roots are the x-intercepts of the graph.

To find the roots, we equate the function to zero and solve for x.

\frac{x^2-4}{x^4+x^3-4x^2-4}=0

\Rightarrow x^2-4=0

x^2=4

x=\pm \sqrt{4}

x=\pm2

The roots are x=-2,x=2

d) The y-intercept is where the graph touches the y-axis.

To find the y-inter, we substitute;

x=0 into the function

f(0)=\frac{0^2-4}{0^4+0^3-4(0)^2-4}

f(0)=\frac{-4}{-4}=1

e) to find the horizontal asypmtote, we take limit to infinity

lim_{x\to \infty}\frac{x^2-4}{x^4+x^3-4x^2-4}=0

The horizontal asymtote is y=0

f) The greatest common divisor of both the numerator and the denominator is 1.

There is no common factor of the numerator and the denominator which is  at least a linear factor.

Therefore the function has no holes.

g) The given function is a proper rational function.

There is no oblique asymptote.

See attachment for graph.

6 0
3 years ago
PLSSS HELP IF YOU TURLY KNOW THISS
dlinn [17]

Answer:

5⁴

Step-by-step explanation:

hope this helps you...

3 0
3 years ago
The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equatio
maria [59]
Your answer is A i believe
3 0
3 years ago
Read 2 more answers
The reasons as well as the answer
Radda [10]

Answer:

x = 46, y = 67

Step-by-step explanation:

x = ∠ AEC = 46 ( alternate angles )

Since Δ ACE is isosceles then the base angles are congruent, then

y = \frac{180-46}{2} = \frac{134}{2} = 67

4 0
3 years ago
Read 2 more answers
Is 8 the HCF of 32, 48 and 72?
Sergio [31]

Step 1

<u>Find the factors of each number</u>

we know that

32=2^{5} \\48=2^{4}*3\\72=2^{3}*3^{2}

Step 2

<u>Find the greatest common factor (GCF)</u>

the GCF is equal to----------> 2^{3}=8

therefore

<u>the answer is</u>

The GCF is 8

3 0
3 years ago
Read 2 more answers
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