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tiny-mole [99]
3 years ago
10

Sketch the graph of each rational function showing all the key features. Verify your graph by graphing the function on

Mathematics
1 answer:
leva [86]3 years ago
5 0

Answer:

Rational Function

Step-by-step explanation:

Gives the function:

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

It has the following,

Domain

x∈ \mathbb{R} : x\neq 0, x\neq 3/2

Range

f \in \mathbb{R} : f \leq -1, f \geq -\frac{1}{9}

End behaviour

As xx \rightarrow \infty, y \rightarrow 0

Horizontal and Vertical Asymptote

Vertical x = 0, x=3/2

Horizontal y = 0

<em>x-intercept: (2,0)</em>

<em>y-intercept: none</em>

<em>**The Graph is in the annex</em>

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Matt and Anna Killian are frequent fliers on​ Fast-n-Go Airlines. They often fly between two cities that are a distance of 1980
Ymorist [56]

Answer:

y (plane speed) 400 miles/hr

x (wind speed)  40 miles/hr

Step-by-step explanation:

going into the wind make the plane flew 5,5 hours to get 1980 miles, implies the real travel speed was

1980 / 5,5 = 360 miles/hours, and at the same time is the result of:  

speed plane (y)  in direction A to B  plus wind speed (x) in direction B to A. Notice opposites direction speed, so we have:

y + (-x) = 360          (1)

The return fly  took 4,5 hours so 1980/4,5 = 440 miles/ hours as the result

Y + x = 440             (2)

We have a two equation with two variables system, It could be solved for any of the procedures. We will use the substitution method.

From equation      (1)        y + (-x) = 360         y  - x = 360      y = 360 + x    (1)

In the second equation    

y + x = 440         then we replace y for its value as function of x

(360 + x ) + x = 440

Solving for x        360 + 2x = 440      or    2x = 440 – 360        

 x   (440 - 360)/2

 x = 40 miles/hr

 X (wind speed ) = 40 miles/hr

And replacing the value of x in eq. (1)        y = 360 + 40 = 400

Y (plane speed) = 400 miles /hr

3 0
3 years ago
1/2+2+8+32+...+1024 find the sum of the series
adell [148]

Answer:

I need to know what ... means.

Step-by-step explanation:


5 0
3 years ago
A retail store sells two types of shoes, sneakers and sandals. The store owner pays $8 for the sneakers and $14 for the sandals.
soldier1979 [14.2K]

Answer:

134 sneakers and 66 sandals

Step-by-step explanation:

Sneakers= x, sandals= y

Profit rate:

  • sneakers: (10-2)/8= 25%
  • sandals: (17-14)/14= 21.4%

Sneakers are more profitable, so it should be maximized.

Cost:

8x+14y≤2000

x+y≤200

if we assume the maximum of 200 shoes stocked, then:

x= 200-y

8(200-y)+14y ≤ 2000

1600 - 8y +14y ≤ 2000

6y≤400

y≤66 and x=134 is the best option

3 0
3 years ago
Can someone please brainlist
Talja [164]

Answer:

yes it is very easy

Step-by-step explanation:

4 0
3 years ago
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WHAT IS THE ANSWER TO : 85% IS 20 TO WHAT NUMBER
Ugo [173]
85\% \ of \ x=20 \\\\ \frac{85}{100}*x=20 \\\\ \frac{17}{20}*x=20 \\\\ \frac{17}{20}=\frac{20}{x} \\\\ x=\frac{20*20}{17} \\\\ \boxed{x=\frac{400}{17}}
6 0
3 years ago
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