Given the function f(x) x^2-2x/x^3 +9x^2-10x Find any holes, vertical asymptotes, and horizontal asymptotes there may be.
Answers
Answer:
See below
Step-by-step explanation:
I assume you mean [tex]f(x)=\frac{x^2-2x}{x^3+9x^2-10x}[/tex]:
Holes: Since [tex]f(x)=\frac{x^2-2x}{x^3+9x^2-10x}[/tex] reduces to [tex]f(x)=\frac{x(x-2)}{x(x^2+9x-10)}[/tex], then there is a hole at [tex]x=0[/tex] as [tex]x[/tex] exists in both the numerator and denominator (however, its limit as x approaches 0 is 1/5).
Vertical Asymptotes: If we further reduce [tex]f(x)=\frac{x(x-2)}{x(x^2+9x-10)}[/tex] to [tex]f(x)=\frac{x-2}{(x+10)(x-1)}[/tex], then we see that there are vertical asymptotes at [tex]x=-10[/tex] and [tex]x=1[/tex]
Horizontal Asymptotes: As the degree of the numerator is less than the degree of the numerator ([tex]2<3[/tex]), then there is a horizontal asymptote at [tex]y=0[/tex]
Related Questions
A set of 6 art books costs $241.25. A copy of one of the books, bought separately, costs $38.25. About how much less is the cost of the 6 books if you buy the set?
Answers
The cost of the 6 books if you buy the set is $11.75 less.
The given parameters:
Total number of books, n = 6Cost of the books, c = $241.25Cost of one book, = $38.25The total cost of the 6 books when bought separately is calculated as follows;
Cost = 6 x $38.25
Cost = $229.5
The difference in price is calculated as follows;
= $241.25 - $229.5
= $11.75
Thus, the cost of the 6 books if you buy the set is $11.75 less.
Learn more about cost price here: https://brainly.com/question/19104371
Given the points (4, 5) and (-2, 8), find the slope of the line that passes through the points.
Group of answer choices
9/6
-2/1
-1/2
1/2
Answers
Answer: c
Step-by-step explanation:
Formula of slope of line :
m=y2-y1/x2-x1
m=8-5/-2-4
=-3/6
m=-1/2
Which of the following points lie in the solution set to the following system of inequalities? y > â’3x 3 y > x 2 (2, â’5) (â’2, 5) (2, 5) (â’2, â’5).
Answers
Answer:
The concept of identity, the meaning we give to ourselves and our sense of purpose, connects us to others. This concept best illustrates the link between the psychological and ____ system
huang 3 shirts that each cost the same amount, a pair of pants that cost $12, and he pays with a $100 bill. Which
expression represents the amount of change Huang should receive? Select three options.
100-(3)
100--12)
(100-12) - 3
(100-12)*x*)
100-x) - 12
Answers
Answer:
(100-12) - 3
Step-by-step explanation:
we dont know what the cost of the shirts are so that one should be it.
Find a counterexample for this statement.
A quadrilateral has four congruent sides.
Answers
Answer:
A Rhombus
Step-by-step explanation:
it's a quadrilateral, but its sides aren't congruent
HELPPPPPPP PLSSSSS!!!!!! 100 points
Given: Angle T S R and Angle Q R S are right angles; Angle T Is-congruent-to Angle Q
Prove: Triangle T S R Is-congruent-to Triangle Q R S
Triangles T S R and Q R S share side S R. Angles T S R and S R Q are right angles. Angles S T R and S Q R are congruent.
Step 1: We know that Angle T S R Is-congruent-to Angle Q R S because all right angles are congruent.
Step 2: We know that Angle T Is-congruent-to Angle Q because it is given.
Step 3: We know that Line segment S R is-congruent-to line segment R S because of the reflexive property.
Step 4: Triangle T S R Is-congruent-to Triangle Q R S because
of the ASA congruence theorem.
of the AAS congruence theorem.
of the third angle theorem.
all right triangles are congruent.
Answers
Answer:
B.of the AAS congruence theorem.
Step-by-step explanation:
hope this helps!
Erin bought 4 jars of jelly and 6 jars of peanut butter for $19.32. Adam bought 3 jars of jelly and 5 jars of peanut butter for $15.67. Find the cost of a jar of peanut butter?
Answers
Answer:
the jar of peanut butter is $2.36
Step-by-step explanation:
Answer: $2.36
Step-by-step explanation:
A pair of jeans is on sale for 20% off. The sale price is $55.00. What is the original amount of the pair of jeans?
Answers
Answer:
$ 275
Step-by-step explanation:
20/100 = 55/x (20% is 55 of what number) (%/100 = is/of)
(100 * 55) / 20 = 275
Answer:
68.75
Step-by-step explanation:
Please please help!!
Answers
Step-by-step explanation:
get add and add on ok
Walmart has white tees and joggers on sale. The white tees cost $4 each and the joggers cost $6
each. You have $36 to spend. The equation 4x + 6y = 36 can model this situation where x
represents the number of white tees and y represents the number of joggers purchased.
Graph the equation and identify (3) possible combinations of white tees and joggers that can be
bought.
cost = price x quantity
4 × X
Combination
Answers
Slope = -2/3
6 joggers and 0 tees
4 joggers and 3 tees
2 joggers and 6 tees
0 joggers and 9 tees
In a class of 50 students, 28 are boys and the rest are girls. The ratio of boys to girls in its simplest form is
Answers
What is the slope of this line?
A.) −1/2
B.) 1/2
C.) 2
D.) I don't know.
Answers
Answer:
2
Step-by-step explanation:
Wesley Snipes earns a monthly salary of $1,685, plus a 8.5% commission on all sales over $2,000 each month. This month, his sales were $6,250. What was his total
income for the month?
$2,224.50
$2,175.80
$2,112.90
$2,046.25
None of these choices are correct
Answers
Answer:
none of theses choices. wesley makes $2185 this month
Step-by-step explanation:
Davens pays $50 each week for guitar lessons. How much will he pay after 3/4 of a year
Answers
there are 52 weeks in a year and 52x.75=39
since it is $50 per lesson you do 39x50=1950, so this is how much he pays after 3/4 of a year.
Which system of equations is graphed on the coordinate plane below?
Answers
Answer: 12,2
Step-by-step explanation:
Answer:
so the answer is TRUE
Step-by-step explanation:
I'm not sure how to explain but ik it it
10. Given m and b, write the equation of the line:
m= -4; b = 2
Answers
Answer:
y = -4x + 2
Step-by-step explanation:
help me with this plss
Answers
Answer:
31-13=18
Step-by-step explanation:
so its 18 pls give brainliest
Answer:
18
Step-by-step explanation:
Since Robyn bought 13 video games and got 31 at the end, if you take away 13 then you will get 18 meaning the answer is 18
Maths Sum:
There's 2 ways you could go this, there's the algebraic way of doing it (that I don't recommend for this type of question and is a bit to advanced right for this question also) which is:
x + 13 = 31
- 13 -13
x = 18
And there's the simple way of doing that I recmmend for this type of question which is:
31 - 13 = 18
What is the value of x in the polygon below?
Answers
Answer:
x=141
Step-by-step explanation:
The measure of all the angles in a septagon (7 sided shape) add up to 900°. The current sum of the known angles 131°+122°+125°+148°+107°+126°=759°.
900° total sum minus known sum 759° equals 141°.
Please help! If possible please show your work. Thank you in advance!! :D
Answers
Answer:
(-4)³ = -64-64Step-by-step explanation:
The first step in solving the equation is to cube both sides:
(∛x)³ = (-4)³ . . . . . = (-4)(-4)(-4) = 16(-4) = -64
x = -64 . . . . . simplified
__
We're not sure what "checking" is supposed to involve here. Usually, one would check the answer by seeing if a true statement is made when the answer is put into the original equation.
∛(-64) = -4 . . . true
Many calculators will not compute √(-64) because they compute roots using logarithms. The log of a negative number is not defined.
So, the way one would check this is to cube both sides, which is how we got the answer in the first place. We expect the same result from doing the same operation again, so it isn't really a check.
Assume that you are going to open a checking account. You are examining different banks and banking accounts to choose a bank account for your needs. Which of the following statements should not be one of your reasons for examining different banks?
a. Being more informed leads to being better prepared to make financial decisions
b. Bank E offers you a chocolate bar for filling out an application for checking and credit at the same time.
c. Banks could have charges that you do not know about until reading carefully.
d. You will become more aware of how well the banks meet your particular needs.
Answers
Answer:the answer is b
Step-by-step explanation:
i took the test
SOLVE FOR ASA
-GEOMETRY
Answers
Step-by-step explanation:
Hope It Helps You
Here You Answer
It is given that kc equals bc and c=c because they are vertical angles so you just need one more angle which is b=k
Option c
Mateus recorded the number of miles driven and the amount
of gasoline used in the table below.
Gas Mileage
Distance Gas Usage
(in miles) (in gallons)
105
5
210
10
315
15
420
20
At this rate, what is the maximum miles that can be driven
with 12 gallons of gasoline?
A) 220 miles
B) 236 miles
C) 252 miles
D) 262.5 miles
Answers
Answer:
C. 252 miles.
Step-by-step explanation:
Since we already know how many miles is driven for 10 gallons of gas, we only need to find 2.
Since 105 miles runs on 5 gallons, divide 105 by 5 to find out how many miles runs on 1 gallon.
105/5=21
Then, multiply that by 2 to find out how many miles run on 2 gallons of gas.
21x2=42.
Finally, add 42 to 210 to get the amount of miles that runs on 12 gallons of gas.
210+42=252
Select the correct answer.
Which expression in factored form is equivalent to this expression?
Answers
A number minus 33 is at least -5
Answers
Answer:
28
Step-by-step explanation:
Put in calculator 28-33= -5
-10x + y = 4
help i need the steps on how to solve this pls
Answers
Answer:
slope = -10
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-10*x-y-(4)=0
1.1 Pull out like factors :
-10x - y - 4 = -1 • (10x + y + 4)
2.1 Solve -10x-y-4 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y-axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line -10x-y-4 = 0 and calculate its properties
Notice that when x = 0 the value of y is 4/-1 so this line "cuts" the y axis at y=-4.00000
y-intercept = 4/-1 = -4.00000
When y = 0 the value of x is 2/-5 Our line, therefore "cuts" the x-axis at x=-0.40000
x-intercept = 4/-10 = 2/-5 = -0.40000
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -4.000 and for x=2.000, the value of y is -24.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -24.000 - (-4.000) = -20.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -10
i hope this helps
Answer:
-10x+ y=4
-10x+y-4=0
10x-y+4=0
Dan is using tiles to add - 8 +6. He begins with the tiles shown below.
OOOOOOOO
What is the sum of -8+6?
0-14
-2
02
14
Answers
Answer:
-2
Step-by-step explanation:
I have no clue
Question 7
Answers
Answer: 27[tex]a^{-6}b^{3}[/tex]
Step-by-step explanation:
you can isolate the separate terms so you get
3^3 x a^(-2x3) x b^3 = 27 a^-6b^3
pls someone help me.
Answers
AB=EF
ABEF=ABF+AEF
NOW CONTINUES THE SOLUTION
The ages and grades of some of the 19 girls on a club soccer team are shown in the table. Which two-way frequency table correctly shows the marginal frequencies?
Answers
Answer:
Step-by-step explanation:
add up to a total of 21 girls. The question says there are 19 girls, so those two are eliminated. Table B's data doesn't even add properly so that is eliminated too
Answer:
Add up the 21 girls,
table B is out btw
Ik I'm late just want to help :)
Which of the following is the measure of an acute angle? O A. 112° O B. 90° O C. 78° O D. 182
Answers
Answer:
C
Step-by-step explanation:
because acute angles have to be less than 90 degrees so therefore it's C.
Answer:
it would be c 78 degrees because under 90 degrees makes a acute angle anything that is under 90 degrees makes acute and anything over 90 degrees makes obtuse angle so c
Step-by-step explanation: