Why is the function below called a rational function?

f(x) =x+3
——
x-2

Answers

Answer 1
a rational function is any function which can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials

Related Questions

Evaluate each value expression for the given value of x : 22-x/5 , x=20

HURY!!!!!!!!!!!

Answers

Answer= 18

22-20/5
22-4
=18

Answer:

10 maybe sorry if wrong

Step-by-step explanation:

22-x x=20 so that should be 2 then u do 2x5 =10

During a 60-minute period, a traffic engineer counted 66 trucks and cars that crossed a bridge. The ratio of trucks to cars that travel across the bridge is usually 3:8. The equation 3 8 = t 66 − t 3 8 = t 66 − t can be used to predict the number of trucks, t, the engineer should have counted. How many trucks should the engineer have counted?

Answers

Answer:

18

Step-by-step explanation:

t = Number of trucks counted

c = Number of cars

Ratio of trucks to cars = [tex]\dfrac{t}{c}=\dfrac{3}{8}[/tex]

Total number of cars and truck = 66

[tex]t+c=66[/tex]

Divide the left and right side by the number of cars

[tex]\dfrac{t+c}{c}=\dfrac{66}{c}\\\Rightarrow \dfrac{t}{c}+1=\dfrac{66}{c}\\\Rightarrow \dfrac{3}{8}+1=\dfrac{66}{c}\\\Rightarrow \dfrac{11}{8}=\dfrac{66}{c}\\\Rightarrow c=66\times \dfrac{8}{11}\\\Rightarrow c=48[/tex]

Total number of cars is 48

so

[tex]t=66-c\\\Rightarrow t=66-48\\\Rightarrow t=18[/tex]

Total number of trucks counted is 18.

b+b-1+b+b+10=___b+9
whats the blank spot??​

Answers

4b+9 is the answer just add up the b’s

The distance from Philadelphia to Harrisburg is 5 inches on the map. The actual distance is 100 miles. The distance from Allentown to Harrisburg is 4 1/20 inches on the map. What is the actual distance, in miles, from Allentown to Harrisburg?

A.) 81 miles
B.) 405 miles
C.) 65 miles
D.) 84 miles

Answers

Answer:

A. 81 miles

Step-by-step explanation:

I have 1 word problem and a math problem. (word prob)A light-year is the distance that light travels in a year and is equivalent to 9.461 * 10^12. Write this distance in standard form.

(math prob) Order the list of numbers from least to greatest.
8.5*10^12,3.6*10^8,5.85*10^-3, 2.5*10^-1,8.5*10^8. ( This ^ means there are square roots for the numbers).



My math class is real soon. Pls, answer them. Thanks!!

Answers

Answer:

1. 9461000000000

move the desimal in 9.461 12 places to the right to get:

9461000000000

2.

5.85 x 10^-3,

2.5 x 10^-1,

3.6 x 10^8,

8.5 x 10^8,

8.5 x 10^12

the smallest exponent is the smallest. Since 8.5 x 10^8 and 3.6 x 10^8 have the same exponent, go to the desimal

A certain cookie recipe calls for 2 cups of flour to make one batch of cookies. Which graph best
represents the relationship between the amount of flour and the number of batches of cookies that
can be made using this recipe?

Answers

Answer:

1 cup of flower makes 1/2 a batch of cookies

Step-by-step explanation:

2 divided by 2 is 1

1 divided by 2 is 1/2

Plz help!! Ty


A (2-7)
B. (1-6)
C. (5,0)
D. (0,-7.5)

Answers

Answer:

i have a feeling it is C because the lines intersect at (5,0)

No rush on this one:)

The price of a shirt decreases by 13$. Which integer represents the decrease in the shirt’s price?

Answers

Answer:

-13

Step-by-step explanation:

-13 since it's going down in price

HEELLLPP MEEEE PLZZZZ!!!!!

Answers

Use the distance formula to find base and height.

The median of the set (n, n+5, n+6, n+9, n+15) is 9. What is the mean?
HELP ME

Answers

Answer: 10

Step-by-step explanation:

tbh its too long to explain i gtg now but plz just trust me

Need help with this pls

Answers

Answer:

hi

Step-by-step explanation:

hi

1. The circle C has centre (5,k), where k is a constant. The line y = 2x + 1 is tangent to C at point
A (3,7). Find the equation of C.

Answers

Answer:

[tex](x-5)^2+(y-6)^2=5[/tex]

Step-by-step explanation:

Equation of the Circle

A circle centered at (h,k) and radius r can be written with the equation:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

We are given the center (5,k), thus:

[tex](x-5)^2+(y-k)^2=r^2[/tex]

We know the point (3,7) belongs to the circle. This means the distance between the center and this point is the radius.

Given two points (x1,y1) and (x2,y2), the distance between them satisfies:

[tex]d^2=(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Calculating the radius, we have:

[tex]r^2=(7-k)^2+(3-5)^2[/tex]

[tex]r^2=(7-k)^2+4\qquad\qquad [1][/tex]

Now we use the fact that the line y=2x+1 and the circle are tangent at (3,7). The radius and the line are perpendicular at that point. Two perpendicular lines with slopes m1 and m2 satisfy the condition:

[tex]m_1\cdot m_2=-1[/tex]

The line y=2x+1 has a slope of m1=2, thus the slope of the segment from (5,k) to (3,7) has a slope of -1/2:

The slope is calculated as:

[tex]\displaystyle \frac{7-k}{3-5}=-\frac{1}{2}[/tex]

Operating:

[tex]\displaystyle \frac{7-k}{-2}=-\frac{1}{2}[/tex]

Multiplying by -2

[tex]\displaystyle 7-k=1[/tex]

Solving:

k=6

From [1] the radius is:

[tex]r^2=(7-6)^2+4[/tex]

[tex]r^2=1+4[/tex]

[tex]r^2=5[/tex]

Finally, substituting into the equation of the circle:

[tex]\mathbf{(x-5)^2+(y-6)^2=5}[/tex]

The graph can be seen in the figure below.

Answer:

Step-by-step explanation:


What is the slope of the line passing through the points (-6, 33) and (-2, 15)?

Please answer quick

Answers

Answer:

The slope is -9/2

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=15-33/(-2)-(-6)

m=-18/4

m=-9/2

solve for x: -5|x + 1| = 10

Answers

Answer:

x=-3

Step-by-step explanation:

-5(x+1)=10

-5x-5=10

-5x= 15

x=-3

URGENT! What is the value of x?

Enter your answer in the box.

(MAKE SURE IT’S THE CORRECT ANSWER)

Answers

Answer:

48 degrees

Step-by-step explanation:

48 degrees — it’s a vertical angle

It takes Mark 1 hour to get to work each day. Mark drives from home 20 minutes to the train station at a constant rate of 42 mph. He then takes the train, traveling at a constant 60 mph, the remaining distance to work. How far does Mark live from his work place? A. 108 mi. B. 80 mi. C. 62 mi. D. 54 mi.

PLEASE HELP QUICK

Answers

Answer:D.54

Step-by-step explanation: it takes 20 minutes in the car which is 1/3 of an hr so 42/3= 14 then that leaves 40 minutes left for the train which is 2/3 of 60 and 60/3=20 and 20x2= 40 so 40+14=54

Answer:

D. 54

Step-by-step explanation:

Give the guy above brainliest

A biker cycles 9 miles in 2 3 of an hour. b The distance here varies directly with time. What is the constant of variation? (It is the hikers’ rate .)

Answers

Answer:

27/2

Step-by-step explanation:

Hope this helps! Also dont add comments to get gems like bruh ;-;

Answer: 27/2

Step-by-step explanation:

[tex]9\cdot \:1=x\frac{2}{3}[/tex]

[tex]x\frac{2}{3}=9\cdot \:1[/tex]

[tex]x\frac{2}{3}=9[/tex]

[tex]3x\frac{2}{3}=9\cdot \:3[/tex]

2x= 27

x= 27/2

Add Me Brainliest!

Guys can you plz help me Answer this QUESTION!!!!!!

Answers

Answer:

C - 9

Step-by-step explanation:

pls give branliest

PLEASE HELP I WILL MARK AND 5 STARS SOLVE AND EXPLAIN THANKS

Answers

3 3/4 or 3.75 I think

What is the formula for the area of this triangle?

Answers

Answer:

A = h b/2

Step-by-step explanation:

Answer:

J =6,L=5,K=3

Step-by-step explanation:

this is kinda hard to do bur I'll try to do it.

15. Which expression has the greatest value?
A. 142-(-172)
B. 1 12+ -1 12
C. -142 - (-14)
D. 142

Answers

Answer:

i think that its D

Step-by-step explanation:

hopes this helps

i'm pretty sure it's d :))

Complete the following statement.

24 ft = in.

Answers

Answer:

288

Step-by-step explanation:

1 foot= 12 inches

24x12=288

Answer:288

Step-by-step explanation:24x12=288 hope this helps

ANSWER ASAP PLEASE AND SHOW YOUR WORK!!!!
Algebraically determine whether the following function is Even, Odd, or Neither.
f(x)= x^3-2x

Answers

Answer:

f(-x)= -f(x) so, the given function [tex]f(x)= x^3-2x[/tex] is Odd

Step-by-step explanation:

We need to determine if the function [tex]f(x)= x^3-2x[/tex] is Even, Odd, or Neither.

Determining if a function f(x) is even or not we put x=-x and check

If f(-x)=f(x) the function is even

if f(-x)= -f(x) the function is odd

So, Putting x =-x and determining if the given function [tex]f(x)= x^3-2x[/tex] is Even, Odd, or Neither.

[tex]f(x)= x^3-2x\\Put \ x=-x\\f(-x)=(-x)^3-2(-x)\\f(-x)=-x^3+2x\\f(-x)=-(x^3-2x)\\f(-x)=-f(x)[/tex]

As f(-x)= -f(x) so, the given function [tex]f(x)= x^3-2x[/tex] is Odd

Which of the following shows 2.736 correctly rounded to the tenths place?
2.74
2.7
2.8
3

Answers

Answer:

2.7

Step-by-step explanation:

The 3 does not round up the 7, so it stays as 2.7

Answer:

2.7

Step-by-step explanation:

the tenths place is the first number after the decimal. When rounding numbers 5 and higher can increase the number next to it by 1. So 2.736 becomes 2.74 then becomes 2.7 as the 4 is not able to round the number since it is below 5.

The temperature at midnight was −11°C. By midday, the temperature was 5°C.

What was the temperature during the morning?
Explain what method you used to find the temperature change.

Answers

Answer:

-3 celcius

Step-by-step explanation:

Answer:

6 ℃

Step-by-step explanation:

by substacring u will see it

How do you find the slope of the table below

Answers

It’s rise over run, or (Y2-Y1)/(X2-X1)

Pick any two sets and plug in.

(24-16)/(21-14) = 8/7

What is the square root of 40000 step by step
Thx for everything that answers

Answers

The answers 200 of u have an iPhone u can ask siri what the square root of whatever number is and it will tell u the correct answer

On your last math quiz, you got 15
out of 20 questions correct. What is
your percentage of correct answers?

Answers

Answer: 75%

Step-by-step explanation: So 15/20 simplified is 3/4 and 3 divided by 4 equals 0.75. To convert a decimal to a percentage, you multiply 0.75 by 100 to get 75%.

Which number sentence is true?
A. –2.0 + (–0.5) = 2.5
B. –4.5 + 6.5 = –2.0
C. 3.0 + (–0.5) = –2.5
D. 5.5 + (–2.5) = 3.0

answer soon please!

Answers

Answer:

B. and D.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Here are the correct sums:

A. –2.0 + (–0.5) = -2.5

B. –4.5 + 6.5 = 2.0

C. 3.0 + (–0.5) = 2.5

D. 5.5 + (–2.5) = 3.0

Only D is correct.

Answer: D

Pls help i will mark brainliest シ♡︎

Answers

Answer:

D:95 mm Hg

Step-by-step explanation:

Using the linear model, y=x+95, x represents the age and y represents the blood pressure.

For a newborn, x=0 this gives us

> y=0+95 = 95<

Answer: 1mm hg per year

Step-by-step explanation:

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