which statement describes the graph of the function f(x)=x^2-1/x^2-2x+1
A. there is a hole at x=-1
B. there is a vertical asymptote at x=-1
C. the y-intercept is y=-1
D. there is a horizontal asymptote at y=-1
Answers
Answer:
The Y-intercept is -1
Step-by-step explanation:
M*thway is a pathway to many abilities some considered to be... unnatural
Statement (C) the y-intercept is y=-1 describes the graph of the function.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
[tex]\rm f(x) = \dfrac{x^2-1}{x^2-2x+1}[/tex]
The above function is a rational function.
The denominator cannot be zero
x² - 2x + 1 ≠ 0
(x - 1)²≠ 1
x ≠ 1
To find y-intercept plug x = 0
f(0) = -1
Thus, statement (C) the y-intercept is y=-1 describes the graph of the function.
Learn more about the function here:
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Related Questions
How many x-intercepts would the function shown below have? F(x)=-5(x^2-7)(x+6)^2(x+1)(4x+1)
Answers
Answer:
5
Step-by-step explanation:
plug this ecuation into desmos graphing calculator(it's a website). Then see how many times the graph crosses the x-axis.
To find the zeroes:
0 of a function means for what value(s) of x will the f(x) or y equal zero(0). To find the zeroes of this function, just see what numbers will make f(x) = 0. Since this equation is already factored, our job is much easier. Focus on small parts of the equation and don't get ovewhelmed by how long it its. For you problem, start by -5(x^2-7). what x will make -5(x^2-7) = 0? As long as (x^2-7) = 0, the whole equation will equal zero since any number times 0 is 0. (x^2-7)=0, move -7 to the right, x^2=7, get squre root of both sides, you will have x=plus or minus[tex]\sqrt{7}[/tex]. This is one of the zeroes. There are many more in this equation since we have more than one x-intercepts. Now using thsi tactic, you can solve for the rest of the zeroes.
there is a calculator called symbolab, It's also a website and it can calculate whatever you need.
The number of x-intercepts is five would be the given function.
What is x-Intercept?The x-intercept is defined as an intercept that is located at the x-axis of the plane, is the location or coordinate from where the line crosses,
The function is given in the question
F(x) = -5(x²-7)(x+6)²(x+1)(4x+1)
We have to determine the number of x-intercepts that would the function.
F(x) = -5(x²-7)(x+6)²(x+1)(4x+1)
The x-intercept occurs at a point where F(x) = 0
0 = -5(x²-7)(x+6)²(x+1)(4x+1)
-5(x²-7)(x+6)²(x+1)(4x+1) = 0
Here (x²-7) = 0, and (x+6)² = 0, (x+1) = 0, and (4x+1) = 0
x² = 7 , and (x+6) = 0, x = -1 , and 4x = -1
x = ±7 and x = -6 , x = -1 , and x = -1/4
x = 7, -7 and x = -6 , x = -1 , and x = -1/4
Therefore, the number of x-intercepts is five would be the given function.
Learn more about the x-intercept here:
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What is the opposite operation of the square root?
Answers
Answer:
The opposite of multiplication is division. The opposite of division is multiplication. The opposite of taking a square root is squaring
Step-by-step explanation:
632 16/25 + 31 3/10 and turn it into a decimal :)
Answers
Answer:
663.94
Step-by-step explanation:
1 Ray is making a dessert by mixing honey and yogurt in the ratio of 2 to 13. How much yogurt and honey does he need to ma 600 grams of the dessert
Answers
Answer:
80 grams honey, 520 grams yogurt
Find the missing term: 1, 1.5, x, 2.5, 3,
Answers
Answer:
x=2
Step-by-step explanation:
Counting by 0.5 pattern
anyone know how to do tables?
Answers
5.
Select the correct answer from each drop-down menu.
A school club will be competing at a state championship has been working to raise money for the club's travel expenses. The table shows
the amount of money raised each month over a nine-month period beginning in August
Month
1
2
4
5
6
7
8
9
Amount ($)
250
275
325
300
350
375
375
350
350
Based on the data in the table, Clara and Michael each use their own function to determine the amount of money the club should expect to raise
in the next three months.
Clara's function: y = -3.14.2 + 44.75 + 203.6
Michael's function: y = 44.64V1 + 1 + 246.5
How does using the different models affect the amount of money the club would expect to raise in the next three months?
If the club uses Clara's function, it would expect the amount of money to
If the club uses Michael's function, it would expect the amount of money to
each month
each month
Reset
Next
Answers
Answer:
descrease & increase
Step-by-step explanation:
Answer:
Decrease and increase.
Step-by-step explanation:
Please help me desperate......
Answers
Explanation:
Answer:
m
Step-by-step explanation:
Help needed. 30 points to complete the table and do the second part.
Answers
Answer:
-4,-6,-8,-10
Step-by-step explanation:
I am not so sure though.
In the figure below, ∆ABC ~ ∆QRS.
If AB = 50, AC = 60, QS = 6, find QR.
Write a proportion and solve.
QR = ?
Answers
QS/AC=6/60=1/10
QR/AB=QR/50=1/10
QR=5
SO THAT TRIANGLE ABC IS EQUAL TO TRIANGLE QRS(2SIDES PROPORTIONAL.INC. ANGLE)
Answer:
QR = 5
Step-by-step explanation:
It's given that ∆ABC ~ ∆QRS. As both of them are similar , the ratio of corresponding sides of both triangles will be proportional to each other.
[tex] \frac{AB}{QR} = \frac{BC}{RS} = \frac{AC}{QS} [/tex]
AB = 50 ; AC = 60 ; QS = 6
From the above proportion ,
[tex] \frac{AB}{QR}= \frac{AC}{QS}[/tex]
Putting all the values ,
[tex] \frac{50}{QR} = \frac{60}{6} [/tex]
[tex] = > \frac{50}{QR} = 10[/tex]
[tex] = > QR = \frac{50}{10} = 5[/tex]
HELP ASAP!!
Solve the following quadratic equation for all values of x in simplest form.
3(x - 2)2 – 37 = 20
Answers
pls give brainliest if you found my answer helpful
Work: Step 1) 3(x-2)2-37=20
Step 2) (3x-6)2-37=20
Step 3) 6x-12-37=20
Step 4) 6x-12= 20+37
Step 5) 6x=57+12
Step 6) 6x=69
Step 7) x=69/6
Step 8) x= 23/2
Liz wants to buy a shirt for $25.what will the total cost after tax be if Liz buys the shirt in Springfield
Answers
Answer:
ya
Step-by-step explanation:
solve:6x+2=2(x+4)-2
happy holidays!
Answers
Answer:
x = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
6x + 2 = 2(x + 4) - 2
Step 2: Solve for x
Distribute 2: 6x + 2 = 2x + 8 - 2Combine like terms: 6x + 2 = 2x + 6Subtract 2x on both sides: 4x + 2 = 6Subtract 2 on both sides; 4x = 4Divide 4 on both sides: x = 1Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 6(1) + 2 = 2(1 + 4) - 2Multiply: 6 + 2 = 2(1 + 4) - 2Add: 8 = 2(5) - 2Multiply: 8 = 10 - 2Subtract: 8 = 8Here we see that 8 does indeed equal 8.
∴ x = 1 is the solution to the equation.
Someone help!
Three customers have accounts owing money. The table shows the account balances.
Which customer owes the least amount of money?
Customer Balance
M. Palmer –$56.72
B. Leftwich –$74.19
R. Jordan –$54.31
M. Palmer
B. Leftwich
R. Jordan
Answers
jordan owes the least amount of money
12-1/5r = 2r +1 solve for r
Answers
Answer:
r=5
Step-by-step explanation:
1.simplify both sides of the equation.
2.substract 2r from both sides.
3.substract 12 from both sides.
4.multiply both sides by 5/(11)
5. your answer will be 5.
r=5
PLEASE HELP!!
Which equation is equivalent to
-3(-x - 2) = 0?
A. 3x + 6 = 0
B. 3x - 5 = 0
C. -3x + 6 = 0
D. -3x - 5 = 0
Answers
Answer:
A. 3x+6= 0
Step-by-step explanation:
When you divide - 3 with -x, you will get a positive value and same goes for - 3 and - 2
So that is how you get the answer 3x+6= 0
Does anyone know how to solve this?
Answers
Answer:
first car : 115 liters
second car: 135 liters
Answer:
car 1 = 173.08 liters
car 2 = 76.92 liters
Step-by-step explanation:
the first step is to find what ratio of car 1 is to car 2
that is 18:8
total ratio is 26
the combination of car 1 and 2 = 26
the total km = 3350
total fuel = 250 liters
car 1 = 18 x 250 liters
26
= 173.08 liters
car 2 = 8 x 250 liters
26
= 76.92 liters
173.08 + 76.92 = 250
Whats the answer please help!!!
Answers
Answer:b
Step-by-step explanation:cause i did that test yesterday
Solve for x:2/5 (x - 2) = 4x
Answers
Answer:
x= -2/9
Step-by-step explanation:
2(x-2)/5=4x
2(x-2)=4x*5
2(x-2)=20x
x-2=20x/2
x-2=10x
-2=10x-x
9x= -2
x= -2/9
A department store sells a pair of shoes with an 87% markup. If the store-bought
the pair of shoes for $55.25, what is the selling price to the nearest dollar?
Answers
Answer:
Step-by-step explanation:
55.25x.87=48.07
55.25+48.07=103.32
This recipe makes 7 pancakes.
Sanjay follows the recipe but wants to make 21 pancakes.
How much of each ingredient does he need?
Recipe: Makes 7
135 g flour
1 teaspoon (tsp) baking powder
2 tablespoons (tbsps) sugar
130 ml milk
1 egg
Answers
Answer:
he needs 3 times all the 1 to make 21 pancakes
Step-by-step explanation:
HELPPPPP MEEEEEEE PLSSSS
Math assignment
Answers
Answer:
$16 for lunch
$4 for coffee
$12 left
Step-by-step explanation:
32/2 = 16
16 * 1/4 = 4
32 - (16 +4) = 12
what is 2-4+7-6+8-0
Answers
Answer:
7
Step-by-step explanation:
Answer: Seven
Explanation: I wrote the numbers down, then added/subtracted 2 from 4, 7 from 6, and 8 from 0, then added all the totals
Instructions: Find the missing side. Round your answer to the nearest tenth.
Answers
Answer:
x ≈ 74.3
Step-by-step explanation:
Using the tangent ratio in the right triangle, that is
tan22° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{30}{x}[/tex] ( multiply both sides by x )
x × tan22° = 30 ( divide both sides by tan22° )
x = [tex]\frac{30}{tan22}[/tex] ≈ 74.3 ( to the nearest tenth )
Bill deposits $3,000 into an account that pays simple interest at a rate of 3% per year. How much interest will he be paid in the first 4 years?
Answers
Answer:
The interest he will be paid in the first 4 years is $360
Step-by-step explanation:
The rule of the simple interest is I = Prt, where
P is the initial depositr is the rate in decimalt is the time∵ Bill deposits $3,000 into an account
∴ P = 3000
∵ The account pays simple interest at a rate of 3% per year
∴ r = 3% = 3 ÷ 100 = 0.03
∵ The time is 4 years
∴ t = 4
→ Substitute these values in the rule above
∵ I = 3000(0.03)(4)
∴ I = 360 dollars
∴ The interest he will be paid in the first 4 years is $360
Giving all points
Solve for the constant of variation.
Answers
--- BONUS!---
During one night, possums ate two fifths of the fifty five fruits on a tree. If one eleventh of the
eaten fruit grew back, how many fruits are now on the tree?
Grade 8 Number Sense and Numeration
IL
Answers
Answer:
35
Step-by-step explanation:
2/5x55=22
55-22=33
22x1/11=2
33+2=35
35 left on tree
P= 2.50n - 300
How many candy bars must be sold to make a profit of $500?
Answers
Answer:
I need the answer
I dont know!!
Step-by-step explanation:
PLEASE HELP MEEEEE!!!!!
Answers
Answer:
The mass of 10mL of this liquid would be 25g.
Step-by-step explanation:
The formula for mass in relation to density and volume is:
mass=Density*volume
Knowing this, we could plug in the given volumes and solve:
m=Dv
m=(2.5g/mL)*(10mL)
m=25g
I hope this helps!
Megan drew a fraction that shows 6/8. What number can divide both the numerator and denominator to simplify this fraction?
Answers
Answer:
2Step-by-step explanation:
The required number is 2. This divides 6 into 3 and 8 into 4. The simplified fraction is 3/4, which cannot be further simplified.