Answer:
D. y=(3)/(2)x
Step-by-step explanation:
Graph the rational function f(x)=(3x-1)/(x-5)
To graph the rational function f(x) = (3x - 1) / (x - 5), follow these steps. Find the vertical asymptote(s) by setting the denominator equal to zero and solving for x.
x - 5 = 0
x = 5
The vertical asymptote of the function is x = 5.
Step 1: Find the horizontal asymptote by comparing the degrees of the numerator and denominator polynomials. Since the degree of the numerator (3x - 1) is 1, and the degree of the denominator (x - 5) is also 1, the horizontal asymptote is given by the ratio of the leading coefficients:
Horizontal asymptote: y = 3/1
Horizontal asymptote: y = 3
Step 2: Find the x-intercept by setting the numerator equal to zero and solving for x:
3x - 1 = 0
3x = 1
x = 1/3
The x-intercept is (1/3, 0).
Step 3: Find the y-intercept by setting x to zero and evaluating the function:
f(0) = (3 * 0 - 1) / (0 - 5)
f(0) = -1 / -5
f(0) = 1/5
The y-intercept is (0, 1/5).
Step 4: Find additional points to sketch the graph. Choose some x-values around the vertical asymptote (x = 5) and calculate the corresponding y-values. For example, you can use x = 4, x = 6, and x = 8.
x = 4:
f(4) = (3 * 4 - 1) / (4 - 5)
= 11 / -1
= -11
x = 6:
f(6) = (3 * 6 - 1) / (6 - 5)
= 17 / 1
= 17
x = 8:
f(8) = (3 * 8 - 1) / (8 - 5)
= 23 / 3
≈ 7.67
Step 5: Plot the points obtained from Steps 2 to 5 and draw the graph. The graph should approach the horizontal asymptote (y = 3) as it approaches the vertical asymptote (x = 5).
The graph of the rational function f(x) = (3x - 1) / (x - 5) should look like this:
To know more about rational function :
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Is the equationy=-1/2 linear or nonlinear?
Answer:
y = -1/2 is a horizontal line; a line with no slope. With that said, it is linear.
Step-by-step explanation:
what is the answer to 2x+3y=-13
Answer:
solve for x
x=(-13/2-3y/2
solve for y
y= -13/2-2x/3
Step-by-step explanation:
hope its the answer you where looking for
PLEASE HELP!!!!!!!
Which of the following functions represent exponential decay?
y = -2 x
y =(1/2)^ x
7 = 2^ 0.5x
y = 2^x
Answer: C) y=2^0.5x
Step-by-step explanation:
Trust me pls
please help. I really need it.
Elena mixes 5 cups of apple juice with 2 cups of sparkling water to make sparkling apple juice. For a party, she wants to make 35 cups of sparkling apple juice. How much of each ingredient should Elena use?
Answer:
The answer is 25 cups of apple juice and 10 cups of sparkling water
Step-by-step explanation:
5+2=7, 35/7=5, so you must multiply each ingredient by 5
Answer:
175 cups of apple juice and 70 cups of sparkling juice
Step-by-step explanation:
you dont have to do all of them but if u do u get 5 stars and brainiest but pls help mee
Answer:
1)m=-6 2)p=-25 3)n=13 4)x=1 5)n=-18 6)r=46 7)=-17 8)x=-30 9)n=49 10)a=33
Step-by-step explanation:
Help me please.........
Determine how far the vehicle travels in 3 hours. A ferry travels 45 miles every 1 1/2 hours.
Answer:
Um 90 miles lol
Step-by-step explanation:
It costs $3.45 to buy 3/4 ib of chopped walnuts. How much would it cost to purchase 7.5 ibs of walnuts?
Show your work!
Answer:
$3.45
Step-by-step explanation
$3.45 -> 3/4 lb ie (0.75 lb)
x -> 7.5 lb
therefore, x = 7.5 x 3.45/ 0.75
x = 34.5
it costs $3.45 for 7.5 lbs of walnut
$3.45
Step-by-step explanation$3.45 -> 3/4 lb ie (0.75 lb)
x -> 7.5 lb
therefore, x = 7.5 x 3.45/ 0.75
x = 34.5
it costs $3.45 for 7.5 lbs of walnut
"Determine if the following argument allways aplies sometimes or never provide atleast 2 examples "To convert yards to feet, devide the number of yards by 3" ANSWER ASAP.
Answer:
It does not apply because if you divide say 3 yards by 3 you would get 1 not 9. You have to multiply the yards by three not divide.
Step-by-step explanation:
Two numbers have a sum of -15 and a
product of -100. What are the numbers?
Answer:
the numbers are -20 and 5
Step-by-step explanation:
The value of a = -20 and b = 5.
Let the numbers be a and b
a + b = -15 ...... i
a × b = -100 ....... ii
From equation i,
a = -15 - b ..... iii
Put equation iii into ii
a × b = -100
(-15 - b) × b = -100
-15b - b² = -100
-15b - b² + 100 = 0
b² + 15b - 100 = 0
b² + 20b - 5b - 100 = 0
b(b + 20) - 5(b + 20) = 0
b - 5 = 0
b = 0 + 5 = 5
a + b = -15
a + 5 = -15
a = -15 - 5
a = -20
Therefore, the value of a = -20 and b = 5.
Read related link on:
https://brainly.com/question/19876483
Sami purchased 5 comic books priced as shown.
$4.50 $3.75 $3.95 $2.19 $3.24
If sales tax is 9%, what is the total price Sami paid? Round to the nearest cent, if necessary.
Answer:
$19.23
Step-by-step explanation:
First, add the prices of all 5 comics together. That should equal $17.63. The tax is 9% so that would be 1.5867 or $1.60. In total, Sami paid $19.23.
help help help
pleaseeeee
question down below
Which of the following lists is in the correct order from smallest to largest?
0-19-14,5,11
0-7-3, 6,2
11, -12, 15, -19
-13.-19, -21, -24
Answer:
the last one -13 -19 -21 -24
Step-by-step explanation:
Answer
-13,-19,-21-24,11,-12,15,-19,0,19,14,5,11
pls explain whyy ill give u a brainlyest
Answer:
the answer should be c
Step-by-step explanation:
Can you pls help me with these questions?
I'm giving brainliest ^^
Answer:
A. 15, 9, 3, -3, -9
Step-by-step explanation:
That's all I know, sorry
Answer:
See attached pdf
Step-by-step explanation:
Which of the following expressions represents the phrase "six added to five times a number"?
O6+5x
O6+5+x
O5+6x
o 11 x
if you get right you get brainliest :D
Answer:
A
Step-by-step explanation:
Because a negative minus a negative is the same as adding the two together :)
Answer:
8.5
Step-by-step explanation:
The opposite of -8 is 8.
\frac{1}{2}+8
Convert 8 to fraction \frac{16}{2}.
\frac{1}{2}+\frac{16}{2}
Since \frac{1}{2} and \frac{16}{2} have the same denominator, add them by adding their numerators.
\frac{1+16}{2}
Add 1 and 16 to get 17.
\frac{17}{2}
I NEED HELP NOW FOR A 7TH GRADE MATH PROB
Answer:
It would be A
Step-by-step explanation:
true or false:
1. 7 = (-5) - (-12)
2.The difference between -5 and -12 is equal to (-5) - (-12)
3.The difference between -12 and -5 is equal to (-5) - (-12)
4.(-5) + 12 = (-5) - (-12)
5.(-5) + (-12) = (-5) - (-12)
Answer:
1. True
2. False
3. False
4. True
5. False
Step-by-step explanation:
1. 7 = (-5) - (-12)
7 = -5 + 12
7 = 7
2. -5 - 12 = -17
-5 - (-12) = 7
3. -12 - 5 = -17
-5 - (-12) = 7
4. 7 = 7
5. -17 = 7
Tyler ate x fruit snacks, and Han ate 3/4 less than that. Write an expression for the number of fruit snacks Han ate. You may use fractions or decimals in
Two trains begin in Milford and end in Pinkerton, which is 300 miles away. Train A leaves Milford at 10:00 a.m. and travels at a rate of 90 miles per hour. Train B leaves Milford at 8:00 a.m. and travels at 70 miles per hour. Which train(s) will arrive in Pinkerton before 1:00 p.m.?
A.
Train A
B.
Train B
C.
both Train A and Train B
D.
neither Train A nor Train B
Answer:
Train B
Step-by-step explanation:
because If you were to walk 300 miles that would be 6 hours or 5
Solve -2 + 22 < 18 I will give brainlest if answer is correct
Answer:
Simplify -2+22 to 20
20<18
Since 20<18 is false, there is no solution.
Answer:
[tex]20 < 18 \\False[/tex]
Step-by-step explanation:
Add − 2 and 22 . The left side 20 is not less than the right side 18 , which means that the given statement is false.
Hope this helps :)
BRAINLIST Ming and Omar are partners in a reading contest. Together they need to read 31 books each month for 3 months. Ming has read 16 books. Omar has read 23 books. About how many more books do they need to read?
90
60
50
40
Answer:
50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
31x3=93
23+16=39
93-39=54
54 rounded to the nearest ten is 50 because the ones digit is less than 5
Pls help me! this is a long overdue assignment! (question is in the picture)
Answer:
three basic methods of graphing linear functions.
The first is by plotting points and then drawing a line through the points.
The second is by using the y-intercept and slope.
The third is applying transformations to the identity function f(x)=x.
For homework. I can't understand how to do this
The ratio of blue marbles to red marbles in a box is 3 to 2. if there are 12 blue marbles in a box then how many red marbles are there?
Answer:
8 red marbles.
Step-by-step explanation:
The ratio is 3:2, blue to red. If there's 12 blue marbles and the first part of the ratio's 3, then:
12/3=4
Then you take the 4 and multiply it by 2, the second half of the ration to get 8.
And so, the answer's 8. If you divide 12:8 by 4 each you get your original ratio of 3:2, so that's your way to check.
What is the benefit of writing expressions to represent real-world situations?
Answer: it help understand life better
Step-by-step explanation:
Pamela rode her bike at a constant rate of 0.1 kilometer per minute. Which table represents y , the number of kilometers Pamela rode her bike in x minutes?
Answer:
B, The second table.
Step-by-step explanation:
If you rode a bike 0.1 Kilometers per minute, and you ride for 5 minutes, you would have biked 0.5 Kilometers, not 0.1 Kilometers.
Hope I helped! Please leave a rating and a comment! :)
Answer:
B
Step-by-step explanation:
you would multiply the y by 0.1 to get x and it would be the right rule.