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9966 [12]
2 years ago
5

Can anyone tell me how you could describe this answer to the equation?

Mathematics
1 answer:
valina [46]2 years ago
6 0

The end behavior of the given polynomial is that as x → -∞ or  x → ∞, then, f(x) → 5

<h3>What is the end behavior of the Polynomial?</h3>

We are given the polynomial;

f(x) = 5x/(x - 25)

Now, we want to find the limits as x → ±∞. Let us rearrange the given polynomial to get;

f(x) = 5/(1 - (25/x))

Thus, applying limits we have;'

lim x → ±∞ [5/(1 - (25/x))]

From algebraic limit laws we know that;

If f(x) = k, then;

lim x → +∞ [f(x)] = k

Also, lim x → -∞ [f(x)] = k

Thus, applying limits at infinity to our polynomial gives;

lim x → ±∞ [5/(1 - (25/x))] = 5/(1 - 0) = 5

This is because lim x → ∞ for 1/x is 0.

Thus, f(x) has horizontal asymptotes at y = 5

Thus, we conclude that the end behavior is that as x → -∞ or  x → ∞, then, f(x) → 5

Read more about Polynomial End behavior at; brainly.com/question/20347699

#SPJ1

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If x = 3 and y = 7 , evaluate the following expression: 20 − ( 3 y − 4 x )
xenn [34]

Answer:

20-3(7)-4(3)

20-21-12

-13

6 0
2 years ago
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A hose fills a hot tub at a rate of 2.65 gallons per minute. How many hours will it take to fill a 283 ​-gallon hot​ tub?
dsp73

Answer:

you need to substitute values on the next form of resolving this problem as  follows...

A hose fills up a hot tub at a rate of 3.2 gallons per minute. How many hours will it take to fill a 300 gallon hot tub?

please explain the method of unit conversions as thoroughly as possible.

 

Solution:

 

The rate of fill up is, Rate = 3.2 Gallons / minute = 3.2 g/min

The hut tub volume is 300 Gallons

 

You can set up this problem as follows:

 

Every 3.2 gallons require 1 minute, How many minutes 300 gallons require?

 

3.2  g    1min

300 g     ? min    = (300 gallons x 1min/ 3.2 gallons)=(300/32)min

 

= 93.75 min

 

or simply the number minutes is the time required (T) the rate is (R) and the volume is (V)

such that T=V/R= (300g/3.2 g/min)= 93.75 min

7 0
3 years ago
Urgent urgent urgent PLEASE help❤️❤️
Georgia [21]

Answer:

1. c(m)=7

2. c(M)=420

Step-by-step explanation:

3 0
3 years ago
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Solve using substitution. <br> 7x-4y=-12<br> 9x-4y=-20
MrRissso [65]

Answer:y= -4

Step-by-step explanation:

1 Solve for xx in 7x-4y=-127x−4y=−12.

x=\frac{4(y-3)}{7}

x=

7

4(y−3)

​

2 Substitute x=\frac{4(y-3)}{7}x=

7

4(y−3)

​

 into 9x-4y=-209x−4y=−20.

\frac{36(y-3)}{7}-4y=-20

7

36(y−3)

​

−4y=−20

3 Solve for yy in \frac{36(y-3)}{7}-4y=-20

7

36(y−3)

​

−4y=−20.

y=-4

y=−4

4 Substitute y=-4y=−4 into x=\frac{4(y-3)}{7}x=

7

4(y−3)

​

.

x=-4

x=−4

5 Therefore,

\begin{aligned}&x=-4\\&y=-4\end{aligned}

​

 

x=−4

y=−4

​

3 0
2 years ago
Sarah drank 75% of a one-pint carton of milk at lunchtime. How many ounces of milk were left in the carton?
Ludmilka [50]

Answer:

16

Step-by-step explanation:

5 0
3 years ago
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