f(x)=2x^2 + x - 6/ x-1
Answers
Answer:
See below
Step-by-step explanation:
Zeroes:
[tex]f(x)=\frac{2x^2+x-6}{x-1}[/tex]
[tex]0=\frac{2x^2+x-6}{x-1}[/tex]
[tex]0=2x^2+x-6[/tex]
[tex]0=(2x-3)(x+2)[/tex]
[tex]x=\frac{3}{2},-2[/tex]
Vertical and Horizontal Asymptotes:
[tex]x\neq 1[/tex] is excluded from the domain, therefore, there's a vertical asymptote at [tex]x=1[/tex]
No horizontal asymptotes as the degree of the numerator is greater than the degree of the denominator by 1.
Oblique (Slant) Asymptote:
[tex]f(x)=\frac{2x^2+x-6}{x-1}=2x+3,R(-3)[/tex], so the oblique/slant asymptote is [tex]y=2x+3[/tex]
Related Questions
Lin and Diego want to run a race in which they will both finsh when the timer reads exactly 30 seconds. Who should get a head start, and how long should the head start be?
Answers
Answer:
Lin needs a 45-meter head start. Lin will travel 120 meters in 30 seconds, and Diego will travel 165 meters in 30 seconds.
Step-by-step explanation:
A group of 4 friends went out for a special dinner. the items they ordered are listed below
24.95+18.96+17.55+23.14+12.00=96.60
Part B: The four friends decided to split the bill evenly. How much does each friend owe
Answers
24.95 + 18.96 + 17.55 + 23.14 + 12.00 + 96.60
4 divided by 12 is 3
perform the operation and simplify
Answers
Answer:
[tex] \frac{x + 4}{3x(x + 1)} \\ [/tex]
Step-by-step explanation:
[tex] \frac{ {x}^{2} + 10x + 24 }{3 {x}^{2} + 3x} \div (x + 6) \\ \frac{ {x}^{2} + 4x + 6x + 24}{ 3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{x( x+ 4) + 6(x + 4)}{3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{(x + 4)(x + 6)}{3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{(x + 4)}{3x(x + 1)} \\ [/tex]
Answer: the finished equation is (x+4)/3x*(x+1), so fill in one in the green square
Step-by-step explanation: it worked for me, the explanation is very long, but I would recommend using tiger algebra for a very detailed step by-step explanation, hope I could be a help
A farmer had 21 goats all but 9 died how many survive ?
Answers
Answer:
9
Step-by-step explanation:
All but 9
Answer:
12
Step-by-step explanation:
I used a calculator I hhhhhhj
the length of a rectangle is 4 less than 3 times its width.if its width is 5 cm what will be its perimeter
Answers
Answer:
32cm
Step-by-step explanation:
Answer:
Given that: The length of a rectangle is 4 less than 3 times its width. The perimeter of a rectangle is 32 cm.
help plz we this work
Answers
So it would be 35/100 or 35%
ANSWER: 35%
A store sells six cupcakes for $7. How much do 18 cupcakes cost?
Answers
Answer:
21 cupcakes
Step-by-step explanation:
6 = $7
18 = 6 x 3
18 = 7 x 3
18 = $21
Answer:
21
Step-by-step explanation:
We can use proportions to solve
6 cupcakes 18 cupcakes
------------------- = -----------------
7 dollars x dollars
Using cross products
6x = 7* 18
6x =126
Divide by 6
6x/6 =126/6
x =21
what is the ratio of 5:2
Answers
Answer:
5/2
Step-by-step explanation:
How do I convert 10.8 mg to ml
Answers
Answer:
10.8mg to ml
Step-by-step explanation:
If you want to convert mg to ml of water you use
1ml=1000mg,then convert the units
1ml=1000mg, then what is the ml of 10.8mg? by using crisscross, let unknown value is B
= 1ml=1000mg
B=10.8mg
=1ml*10.8mg
1000mg
=0.0108mlPlease take a look at the picture
Answers
Answer:
D) The number that is 5 to the right of -6 on the number line
Hope this helps :)
the current population of earth is estimated to be about 7,440,000,000. express number in scientific notation
Answers
Answer:
7.44x10^9
Step-by-step explanation:
hope this helps
Victor drives a distance of 21.45 miles everyday from home to his office. He moves into a new apartment that is just 3.65 miles away from his office. Determine the distance by which Victor has lessened his drive to the office.
Answers
Answer:
17.8 miles
Step-by-step explanation:
His old house was 21.45 miles from the office. He moves to a new apartment which is just 3.65 miles from the office.
Since it asks for the distance he reduced to the office, we would do
21.45 - 3.65 = 17.8 miles
brainliest
chose a point below that lies on the function y -10=-3(x-2)
(2,10)
(-3,2)
(-2,-3)
(10,2)
Answers
Explanation: Graphing gives you a negative slope that intersects the first quadrant. The point hits that line perfectly
help please ill give the person who answeres honstly a biranly and 25 points ofc ofc
Answers
Answer:
Alright I’ll go in order
Well first things first I’m gonna make the numbers in order first to make life easier
22, 36, 39, 39, 40, 40, 41, 42, 45, 46, 46, 49
#1: Is asking for the median of the data
The median is basically the center of the data in order
In this case the middle number here is 40 and 41, we jsut find the average between those 2 to find it. 40+41= 81 81/2= 40.5
Median :40.5
#2: Is asking for the mode
The mode is the number that comes up or repeats the most.
in this case it’s 39, 40, and 46
Mode: 39, 40, 46
#3: Is asking for the mean
The mean is basically the average, you add up all the given numbers and divide it by the amount of numbers there are. In this case it goes something like
22+36+39+39+40+40+41+42+45+46+46+49
you would get 446
Now theres 12 numbered so we divide that by 12
446/12 you’d get 37 1/6 as ther average or 37.166666666666…
#4: Is asking for the range
You just find the difference ebetween the greatest number and llowest number. In this case it’s 49-22 so you got 27
Range: 27
I think you can figur the rest out on your own!
Find the difference of 651
Answers
What difference? You just said "Find the difference of 651", but what am I subtracting by? What equation?
Simplify 7x + [x - (5 + x)].
O 7x - 5
O8X-5
9x - 5
Answers
Answer:
7x-5
Step-by-step explanation:
(PHOTO) Please help need this done by tomorrow thank you
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
let's solve ~
[tex]3x + 2 = x + 28[/tex]now let's deduct x from both sides ~
[tex]3x + 2 - x = x + 28 - x[/tex][tex]2x + 2 = 28[/tex]therefore, the missing term in the box is ~ 2
[tex] \boxed{2}x + 2 = 28[/tex]Answer:
? = 2
Step-by-step explanation:
To get the x to the other side, subtract x on both sides, then combine like terms.
[tex]3x+2=x+28\\3x+2-x=x+28-x\\2x+2=28[/tex]
Please help!!!
A. (-4,2)
B. (-4,-2)
C. (2,-4)
D. (2,4)
Answers
Answer:
A
Step-by-step explanation:
Have a nice day
If h(x)=5x+7, then h(x) has a zero at which of the following values?
(1) -5
(2) 7
(3) -1.4
Answers
Answer:
Step-by-step explanation:
0 = 5x + 7
-7 = 5x
x = - 7/5 = -1.4
Answer:
-1.4
Step-by-step explanation:
h(x)=0=5x+7
or, 5x= -7
x= -7/5= -1.4
What expression is equivalent to 5(x+7)
Answers
Answer:
5x + 35
Step-by-step explanation:
a college student is saving money to buy a laptop. the student has $85 saved and saves $35 each week. The function a(t)=35t + 85 represents the amount of money the college student has saved for the laptop after t weeks. The student receives $50 as a birthday gift .
If the function f(t) = a(t) +50 represents the total amount the student has saved , which best describes the transformation from a(t) to f(t)?
Answers
Answer:
B a vertical translation 50units right
evaluate (2/3)6 power
evaluate 2/3 evaluate 2/3 6th power
Answers
Answer:
64/729
Step-by-step explanation:
(2/3)^6 = (2^6)/(3^6) = 64/729
Fireman Bob leans a 40 foot ladder against a building at an angle of elevation of 70'. How far is the base of the ladder from the building (round your
answer to the nearest thousandth)?
Distance from base of the building
Answers
Answer:
Step-by-step explanation:
40cos70 = 13.68080573... 13.681 ft.
2x5 what would 2x5=?
Answers
Answer:
10
Step-by-step explanation:
Answer:
10 would be the answer.
Step-by-step explanation:
2+2+2+2+2 Hope this helps!
Which relation is not a function?
Answers
The price of a video game is $32.99 before tax. Andre bought the video game for 20% off. He then paid 8% sales tax on the discounted price. Part A: How much did Andre pay in sales tax? Show all work and steps in your solution. (5 points) Part B: What is the total amount that Andre paid for the video game? Show all work and steps in your solution. (5 points)
Answers
Answer:
the answer is 24.23 $ thats what i got
Answer:
A. 2.11 and B. 26.39+2.11=28.50
Step-by-step eplanation:
help me out guys !!!?
Answers
Answer:
4
Step-by-step explanation:
yeah-ya............. right?
Answer:
16
Step-by-step explanation:
because :-
f(x) =[x+6] x=-10
=[-10+6]
=10+6
16
Simplify.
510√
2√
2√2
10√2
5√
Answers
Answer:if you know how to do this your smart and in two years if someone can Answer ill give you a mil in cash swear
Step-by-step explanation:
Answer:
√10/2
Step-by-step explanation:
I took le test
A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 14 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area. (Round your answer to two decimal places.)
Answers
Answer:
Step-by-step explanation:
V = 4πR³/3 + πR²h
h = (V - 4πR³/3) / πR²
A = 4πR² + 2πRh
A = 4πR² + 2πR((V - 4πR³/3) / πR²)
A = 4πR² + 2((V - 4πR³/3) / R)
A = 4πR² + 2V/ R - (8πR³/3) / R
A = 4πR² + 2(14)/ R - 8πR²/3
A = (4π - 8π/3)R² + 28/R
A = (4π/3)R² + 28/R
dA/dR = (8π/3)R - 28/R²
0 = (8π/3)R - 28/R²
28/R² = (8π/3)R
R³ = 28(3 / 8π)
R = 1.49513...
R = 1.50 cm
which makes the cylinder height 0.00 cm. The figure is a sphere.
Put the numbers from least to greatest
3.55
3.544
3.554
Answers
Answer:
3.544 < 3.55 < 3.554
Step-by-step explanation:
Answer:
3.554 3.55 3.544
Step-by-step explanation:
i hope this answer helps you <3