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Marina86 [1]
4 years ago
12

Sam joins a gym and completes a membership form

Mathematics
1 answer:
lawyer [7]4 years ago
4 0

Answer:

cool
















Step-by-step explanation:


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<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B%282x%2B1%29%28x-5%29%7D%7B%28x-5%29%28x%2B4%29%5E%7B2%7D%20%7D" id
dybincka [34]

i) The given function is

f(x)=\frac{(2x+1)(x-5)}{(x-5)(x+4)^2}

The domain is

(x-5)(x+4)^2\ne 0

(x-5)\ne0,(x+4)^2\ne 0

x\ne5,x\ne -4

ii) For vertical asymptotes, we simplify the function to get;

f(x)=\frac{(2x+1)}{(x+4)^2}

The vertical asymptote occurs at

(x+4)^2=0

x=-4

iii) The roots are the x-intercepts of the reduced fraction.

Equate the numerator of the reduced fraction to zero.

2x+1=0

2x=-1

x=-\frac{1}{2}

iv) To find the y-intercept, we substitute x=0 into the reduced fraction.

f(0)=\frac{(2(0)+1)}{(0+4)^2}

f(0)=\frac{(1)}{(4)^2}

f(0)=\frac{1}{16}

v) The horizontal asymptote is given by;

lim_{x\to \infty}\frac{(2x+1)}{(x+4)^2}=0

The horizontal asymptote is y=0.

vi) The function has a hole at x-5=0.

Thus at x=5.

This is the factor common to both the numerator and the denominator.

vii) The function is a proper rational function.

Proper rational functions do not have oblique asymptotes.

6 0
3 years ago
EMERGENCY!!! What is the answer to this question
Daniel [21]

Answer:

108

Step-by-step explanation:

The cubes has a volume 1/27 because 1/3 *1/3 *1/3 =1/27. Now we just take 4 and divide by 1/27. Which equals 108 cubes.

3 0
4 years ago
Read 2 more answers
The larger of 2 numbers is twice the smaller. If the larger is x, what is the smaller
Pepsi [2]

Answer:

Step-by-step explanation:

x/2

6 0
3 years ago
Write out the sample space for the given experiment. Use the following letters to indicate each choice: M for mushrooms, A for a
s2008m [1.1K]

Answer:

Sample space = {(MTR), (MTV) (MPR) (MPV) (ATR) (ATV) (APR) (APV)}

Step-by-step explanation:

When they ask for the sample space they want to know all the possible combinations for:

Toppings                         Meats                      Dressings

M = Mushrooms              T = Turkey               R = Ranch

A = Asparagus                P = Pepperoni          V = Vinaigrette

The easiest way to see all the combinations is doing a tree diagram in which you put all the posible options, as in the image.

After that you just follow each of the lines to make all the posible combinations form which we get:

Sample space = {(MTR), (MTV) (MPR) (MPV) (ATR) (ATV) (APR) (APV)}

8 0
4 years ago
Which of the following expressions is equivalent to the one shown below? (-5 x 4)3
salantis [7]

Answer:

-60

Step-by-step explanation:

<em>We'd solve anything inside the parentheses first:</em>

-5 * 4 = -20

<em>Now multiply:</em>

-20 * 3 = -60

Our answer would be -60

5 0
3 years ago
Read 2 more answers
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