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serg [7]
3 years ago
12

F(x)=x-1/x^2-x-6 which is the graph of

Mathematics
1 answer:
hoa [83]3 years ago
5 0

Answer:

The graph is attached below.

Step-by-step explanation:

<em>As you have not added the graph, so I will be solving the function for a graph.</em>

Given the function

f\left(x\right)=x-\frac{1}{x^2}-x-6

x-\mathrm{axis\:interception\:points\:of\:}-\frac{1}{x^2}-6:

\mathrm{x-intercept\:is\:a\:point\:on\:the\:graph\:where\:}y=0

-\frac{1}{x^2}-6=0

-1-6x^2=0

\mathrm{No\:Solution\:for}\:x\in \mathbb{R}

\mathrm{No\:x-axis\:interception\:points}

y-\mathrm{axis\:interception\:point\:of\:}-\frac{1}{x^2}-6:

y\mathrm{-intercept\:is\:the\:point\:on\:the\:graph\:where\:}x=0

As we know that the domain of a function is the set of input or argument values for which the function is real and defined.

\mathrm{Domain\:of\:}\:-\frac{1}{x^2}-6\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:0\right)\cup \left(0,\:\infty \:\right)\end{bmatrix}

\mathrm{Since}\:x=0\:\mathrm{is\:not\:in\:domain}

\mathrm{No\:y-axis\:interception\:point}

\mathrm{Asymptotes\:of}\:-\frac{1}{x^2}-6:\quad \mathrm{Vertical}:\:x=0,\:\mathrm{Horizontal}:\:y=-6

\mathrm{Range\:of\:}-\frac{1}{x^2}-6:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)

The graph is attached below.

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Bob raises Guinea Pigs and Chinchillas on his beachfront oasis. There are a total of 60,005 animals at the oasis. The number of
raketka [301]
Let named variables as you said g- guinea pigs and c- chinchillas
System of equation is:

First is:   c+ g = 60,005 
Second is:   c= 2g+5

When we replace second in first we get:

2g+5+g = 60,005 => 3g+5= 60,005 => 3g= 60,000

g=60.000/3 = 20,000 => g=20,000

When this result we replace in the second equation we get

c= 2 * 20,000 +5= 40,000+5 = 40,005

c= 40,005

Good luck!!!!




6 0
3 years ago
A recipe uses 5 cups of flour for every 2 cups of sugar. How much sugar is used for 1 cup of flour?
Marysya12 [62]
2.5 or 2 1/2................
4 0
3 years ago
From data gathered in the period 2008−2012, the yearly value of U.S. exports can be modeled by the function E(x) = −228x3 + 2,25
vredina [299]

Answer:

The total value the U.S. imported and exported is 19364 billion dollars

Step-by-step explanation:

* Lets explain how to solve the problem

- The yearly value of U.S. exports can be modeled by the function

 E(x) = −228 x³ + 2,252.8 x² − 6,098.5 x + 11,425.8

# x is the number of years after 2008

# E(x) is the value of exports in billions of dollars

- The yearly value of U.S. imports can be modeled by the function

 I(x) = −400.4 x³ + 3,954.4 x² − 11,128.8 x + 17,749.6

# x is the number of years after 2008

# I(x) is the value of imports in billions of dollars

* We need to calculate the total value the U.S. imported and

 exported in 2012

∵ x is the number of years after 2008

∴ At 2012 x = 4 years

- Lets calculate the value of the exports in 2012

∴ E(x) = -228(4)³ + 2,252.8(4)² - 6,098.5(4) + 11,425.8

∴ E(x) = 8484.6 billion dollars

- Lets calculate the value of the imports in 2012

∴ I(x) = -400.4(4)³ + 3,954.4(4)² - 11,128.8(4) + 17,749.6

∴ I(x) = 10879.2 billion dollar

∵ The total value the U.S. imported and exported = E(x) + (I(x)

∴ The total value = 8484.6 + 10879.2 = 19363.8

∴ The total value = 19364 billion dollars

* The total value the U.S. imported and exported is 19364 billion dollars

7 0
3 years ago
The following list contains the average annual total returns (in percentage points) for 9 mutual funds. The mutual funds appear
VladimirAG [237]

Answer:

Mean =25.78

Median =20

Step-by-step explanation:

given that the following list contains the average annual total returns (in percentage points) for 9 mutual funds. The mutual funds appear in an online brokerage firm's "all-star" list.

40, 30, 6, 10, 30, 18, 15, 20, 36

Let us find the sum of these 9 entries

Sum = 205

a) Mean = \frac{205}{9} =22.78

b) Median of this data set is the middle entry after arranging in ascending order

Here it would be the 5th entry

6,10, 15, 18,20, 30, 30, 36, 40

Median = 20

6 0
3 years ago
Find the x and y intercepts. 2x-4y=8
ivanzaharov [21]

Answer:

2

x

+

4

y

+

8

=

0

Step-by-step explanation:

4 0
2 years ago
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