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Alik [6]
3 years ago
14

Which of the following rational functions is graphed below? A. F(x) = B. F(x) = C. F(x) = D. F(x) =

Mathematics
1 answer:
EastWind [94]3 years ago
7 0

Answer:

The answer is D or A

Step-by-step explanation:

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The function f(x) = 2x 26 represents the distance a flock of birds travels in in miles. The function g(x) = x − 1 represents the
nydimaria [60]

Speed is the ratio of distance and time. When we divide f(x) by g(x) we will get the speed of the flock that is 9 miles/hour.

<h3>What is speed?</h3>

Speed can be defined as the rate of change in the position of an object. It is given as,

Speed = \dfrac{Distance}{Time}

Given to us

Distance traveled, f(x) = 2x+26

Time, g(x) = x − 1

As we know that the ratio of distance and time is equal to the speed of the object. Since the distance traveled by the flock of birds is given also, the time needed for them to travel the distance is also given.

We need to find f divided by g of 5, which is the speed of the flock,

Speed = \dfrac{Distance}{Time} = \dfrac{f(x)}{g(x)}

Speed = \dfrac{f(x)}{g(x)}  = \dfrac{2x +26}{x-1}

Speed = \dfrac{f(5)}{g(5)}  = \dfrac{2(5) +26}{(5)-1}\\\\Speed = 9 \rm\ miles/ hour

Hence, when we divide f(x) by g(x) we will get the speed of the flock that is 9 miles/hour.

Learn more about Speed:

brainly.com/question/7359669

7 0
3 years ago
The average amount that a college student spends on a textbook is $205. What is the probability that a students spends between $
garri49 [273]

Complete question :

The average amount that a college student spends on a textbook is $205 with a

standard deviation of $35. What is the probability that a student spends:

A. between $10 and $310?

Answer:

0.999

Step-by-step explanation:

Mean, m = 205 ; Standard deviation, s = 35

Z = (x - m) / s

x = 310

Z = (310 - 205) / 35 = 3

P(z < 3) = 0.99865

x = 10

Z = (10 - 205) / 35 = - 5.57

P(Z < - 5.5)

P(z < 3) - P(z < - 5.5)

0.99865 - 0

= 0.999

5 0
3 years ago
CAN SOMEONE PLEASE HELP ME ON NUMBER 3
boyakko [2]

Answer:

36

Step-by-step explanation:

5 0
3 years ago
21 is what percent of 40
-Dominant- [34]
To solve for this, set up a proportion.
21/40 = x/100.
Cross multiply the fraction's numerators with the denominators; 
21 x 100, 40 and x.
2100/40x.
Divide both numbers by 40 to get x.
2100/40 = 52.5
21 is 52.5% of 40.
I hope this helps!
5 0
3 years ago
What are the solutions to the quadratic equation below x^2+20x+100=7​
aleksandrvk [35]

First you must have the quadratic equal to zero. In order to do this you must subtract 7 to both sides

x^2 + 20x + (100 - 7) = 7 - 7

x^2 + 20x + 93 = 0

Now you must find two numbers who's sum equals 20 and their multiplication equal 93

Are there any? NO!

This means that you have to use the formula:

\frac{-b±\sqrt{b^{2} - 4ac} }{2a}

In this case:

a = 1

b = 20

c = 93

\frac{-(20) plus/minus\sqrt{20^{2} - 4(1)(93)} }{2*1}

\frac{-20 plus/minus\sqrt{400 - 372} }{2}

\frac{-20 plus/minus\sqrt{28} }{2}

^^^We must simplify √28

√28 = 2√7

so...

\frac{-20 plus/minus 2\sqrt{7} }{2}

simplify further:

-10 plus/minus\sqrt{7

-10 + √7

or

-10 - √7

***plus/minus = ±

Hope this helped!

~Just a girl in love with Shawn Mendes

7 0
3 years ago
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