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Oliga [24]
4 years ago
6

Please, someone, help I need the answers asap!!

Mathematics
1 answer:
choli [55]4 years ago
8 0

Answer:

#7 : 6

#8 : 12

#9 : ?

#10 : 110

#12 : ?

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<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7Bx-5%7D%7B2x%5E%7B2%7D-5x-3%20%7D" id="TexFormula1" title="f(x) = \f
Vedmedyk [2.9K]

i) The given function is

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

The factored form is

f(x)=\frac{x-5}{(x-3)(2x+1)}

The domain are the values of  x for which the function is defined.

(x-3)(2x+1)\ne 0

(x-3)\ne0,(2x+1)\ne 0

x\ne3,x\ne-\frac{1}{2}

ii) To find the vertical asymptotes, equate the denominator to zero.

(x-3)(2x+1)=0

(x-3)=\ne0,(2x+1)=0

x=3,x=-\frac{1}{2}

iii) To find the roots, equate the numerator to zero.

x-5=0

The root is x=5

iv) To find the y-intercept, put x=0 into the function.

f(0)=\frac{0-5}{(0-3)(2(0)+1)}

f(0)=\frac{-5}{(-3)(1)}

f(0)=\frac{5}{3}

The y-intercept is \frac{5}{3}

v) The horizontal asymptote is given by;

lim_{x\to \infty}\frac{x-5}{2x^2-5x-3}=0

The horizontal asymptote is y=0

vi) The function is not reducible. There are no holes.

vii) The given function is a proper rational function.

Proper rational functions do not have oblique asymptotes.

3 0
3 years ago
Read 2 more answers
Please help! <br>find measure of CDE ​
Umnica [9.8K]

Answer:

170

Step-by-step explanation:

A heptagon's internal angles add up to 900 degrees.

So:

(2x-13)+(3x-8)+(2x-3)+(2x-7)+(3x-1)+(2x+11)+(2x+9) = 900

16x - 12 = 900

16x = 912

x = 912/16

x = 57

So:

3x - 1 = 3 * 57 -1 = 170

5 0
3 years ago
Help please!<br> i need both questions answered. also need to know which train is faster.
Vadim26 [7]
Answer: Train A - 60 mph; Train B - 125 mph
Explanation: To find the speed of Train A, you should do 120/2, which equals 60. To find the speed of Train B, you should do 250/2, which equals 125.
7 0
4 years ago
What is this answer ?
Mila [183]

Answer:

One possible answer is 25/4

8 0
4 years ago
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If you flip a coin, what is the probability that it will land on heads?
Murrr4er [49]

Answer:

0.5

Step-by-step explanation:

7 0
3 years ago
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