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valentina_108 [34]
2 years ago
8

A. 75.5 meters in 20 seconds

Mathematics
1 answer:
satela [25.4K]2 years ago
8 0
What are you asking ????
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The volume would be 54
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3 years ago
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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
In an agricultural class, there are 17 freshmen students and 19 sophomore students. What ratio compares the number of freshmen t
zheka24 [161]

Answer:

  B. F:S = 17 to 19; S:F = 19 to 17

Step-by-step explanation:

Put the corresponding numbers in the corresponding parts of the ratio you want to write:

  freshmen to sophomores (F:S)

  17 to 19

___

  sophomores to freshmen (S:F)

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These pairs of numbers match choice B.

5 0
3 years ago
Is the number rational or irrational?
Maru [420]
Well an <span>an </span>irrational number<span> is a real </span>number that cannot be expressed as a ratio of integers, i.e. as a fraction. A rational number<span> is a </span>number<span> that can be written as a ratio. So 3/7 is a rational number, 0.38(with a line saying its continuous over .38) is rational, Square of 7/9 is irrational number, and 5 pi is an irrational number.</span>
5 0
3 years ago
Tell whether (3,5) is a solution of y = 5x – 10.
Ivanshal [37]

Answer:

yes it is

Step-by-step explanation:

plug x and y in

3 * 5 - 10 = 5 <== And this is true

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2 years ago
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