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
-5(X+2)=35 APPLY THE DISTRIBUTIVE PROPERTY
Answers
Hello!
-5(x+2)=35
-5x-10=35
-5x=35+10
-5x=45
x=-9
Hope it helps!
~Just a determined gal
#CarryOnGainingKnowledge
[tex]MysteriousNature[/tex]
Answer:
x = -9
Step-by-step explanation:
-5(x + 2) = 35
~Distribute
(-5 * x) + (-5 * 2) = 35
~Simplify
-5x - 10 = 35
~Add 10 to both sides
-5x = 45
~Divide -5 to both sides
x = -9
Best of Luck!
Can some help please
Answers
Answer:
9×10^16
Step-by-step explanation:
Only if the power is the same, you can just add the first numbers
You just need to combine.
The rule (a) = a tells us we can just remove the parenthesis.
2*10^16 + 7*10^16
That would equal to 9 x 10^16 because when adding exponents, you keep them the same.
A company that manufactures small canoes has a fixed cost of $24,000. It costs $80 to produce each canoe. The selling price is $160 per canoe. (In solving this exercise, let x represent the number of
canoes produced and sold.)
a. Write the cost function.
C(x) = 150 (Type an expression using x as the variable.)
Answers
Answer:
C(x)=2400 - 80x
Step-by-step explanation:
since 24000 is a fixed cost, lets put it was the y-intercept (the cost when no canoes are produced and sold). next subtract 160 from 80 to get the amount of cost gained for every canoe produced and sold. this value is -80, it is negative since the company is earning a profit for every canoe produced and sold. now you have your equation: C(x) = 2400 - 80x
The graph of f(x) = x2 has been shifted into the form f(x) = (x - h)2 + k:
5
365
What is the value of k? (1 point)
0 1
0-1
O-2
O 2
Answers
Theresa ran 7.56 miles this week. Write her distance as a mixed number and as an improper fraction.
Answers
Answer:
Mixed=7 14/25 improper=189/25
Step-by-step explanation:
Given that f(x) is a cubic function with zeros at -3, 0, and 7, find an equation for f(x) given that f(-8) = -5.
Answers
Answer:
[tex]\huge\boxed{f(x)=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x}[/tex]
Step-by-step explanation:
[tex]f(x)=a(x+3)(x-0)(x-7)=ax(x+3)(x-7)\\\\=ax\bigg((x)(x)+(x)(-7)+(3)(x)+(3)(-7)\bigg)\\\\=ax(x^2-7x+3x-21)=ax(x^2-4x-21)\\\\=(ax)(x^2)+(ax)(-4x)+(ax)(-21)\\\\=ax^3-4ax^2-21ax\qquad(*)\\\\f(-8)=-5[/tex]
[tex]\text{substitute}\ x=-8\\\\f(-8)=(a)(-8)^3-(4a)(-8)^2-(21)(-8)a=-512a-(4a)(64)+168a\\\\=-512a-256a+168a=-600a\\\\f(-8)=-5\\\\\text{therefore}\\\\-600a=-5\qquad|\text{divide both sides by (-600)}\\\\a=\dfrac{-5}{-600}\\\\a=\dfrac{1}{120}[/tex]
[tex]\text{Substitute to}\ (*):\\\\f(x)=\dfrac{1}{120}x^3-4\cdot\dfrac{1}{120}x^2-21\cdot\dfrac{1}{120}x=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x[/tex]
A rectangle has a perimeter of 20 inches and an area of 24 square inches. What are the length and width of the rectangle?
5 inches x 4 inches
4 inches x 6 inches
6 inches x 3 inches
3 inches x 8 inches
Answers
Answer:
Length = 6in
Width = 4in
The formula for solving the perimeter of a rectangle is:
P = 2(L+W)
The formula for finding the area of a rectangle is:
A = L x W
If we substitute our values, we will get:
P = 2(6 + 4)
P = 2(10)
P = 20in
A = 6 x 4
A = 24in²
Materials and labor for each pet groomed
costs $15. The business also has fixed costs
of $1,000 each month. Define a cost
function for this business.
Answers
Answer:
f(x) = 15x + 1,000
Step-by-step explanation:
y = mx + b
the 15 is the slope or rate and 1000 is the fixed value ( y intercept)
What is the slope of the line? The graph shows the relationship between the volume of a rectangular prism and the volume of a square pyramid with an identical base and height. O-3 O- 3 Prism vs. Pyramid 1 10 M 9 8 3 Prism Volume (cubic units) 6 5 3 1 2 3 4 5 6 7 8 9 10 Duramid Valuma louhin rinite! Save and Exit Nect Submit Mark this and retum
Answers
Answer:
3
Step-by-step explanation:
y=3x
What is the area of the figure below?
16 square units
14 square units
10 square units
12 square units
Answers
How do you get this answer?
start by counting the boxes there’s a total of six in the first rectangle and 6 on the other so 6+6= 12!!!
Just count the boxes and that’s it:)
According to this diagram, what is sin 23°?
67°
13
5
Сл
23°
90°
12
O A.
13
5
12
O B.
B. 13
12
13
O c.
c.13
O D.
D.
5
13
O E.
13
12
5
OF.
Answers
Using relations in a right triangle, it is found that the sine of 23 degrees is given by:
D. 5/13.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.Looking at the graph, the side opposite to the angle of 23º is of 5, while the hypotenuse is of 13, hence the sine is given by:
sin(23º) = 5/13.
Which means that option D is correct.
More can be learned about relations in a right triangle at https://brainly.com/question/26396675
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Tara's pool is 50 yards in length and 20 feet in width. How many square feet is the pool? How many square yards in the pool? Show your work.
Answers
150’x 20’ = 3,000 sq. ft. 3,000 sq ft. divided by 3 = 1,000 sq. yd.
when a company produces 5,000 units, variable costs are $35 per unit and total cost in $200,000. What is the total cost when the company produces 8,000 units? (both 8000 and 5000 units produced are within the relevant range.)
Answers
Rachel's income for July is $3300. She spent $1000 for rent, $150 on student loans, $100 for a new
tablet, and $450 on groceries. How much of her monthly income is left?
Answers
Answer: 1300
Step-by-step explanation:
3300-1000=2000
2000-450=1550
1550-150=1400
1400-100=1300
show your solution and answer the 4 questions.
Answers
Answer:
Step-by-step explanation:
1. When the number of kilograms of paper is doubled, the points will be doubled
2. 300÷ 5 = 60
They have to collect 60 Kg of papers to earn 300 points.
3) P = 5*n
P = 5n
4) We are not only reducing the waste, the collected paper can be reused or can be sent to recycling centers.
If you deposit $400 into an account that offers a 5% interest rate. How much interest will you earn after 1 year?
Answers
Answer:
Answer: The answer is $20
Multiply 400 by .05 or 5%.
If you wanna know 6 years it would be 536 usd
Explanation:
This would be an compound interest. Meaning that your gain every year would increase exponentially.
The equation to calculate this would be: Kn = K0⋅
(1+p100)n Kn is your savings after the period nK0 is your starting deposit p is the percentage n is the period of interest for your example we would have.
Kn=400⋅
(1+5100)6
Step-by-step explanation:
CREDIT FOR ANSWER GOES TO
calderonj4588
The vector makes angles
[tex]Sin^- {}^{1} (\frac{ \sqrt{2146} }{65} ) \: and \: sin {}^{ - 1} ( \frac{12}{13} )[/tex]
with the X and Y axes.Find the Sin Ratio of the angle that is makes with Z-axis.
Answers
Answer:
To know the answer refer to attachment.
Note: There are 3 attachments
Scroll side to see the 3rd attachment
[tex]\Large\textsf{Hope \: It \: Helped}[/tex]
Fran has a monthly income of $2940, and budgets 9% of that amount for groceries.
How much money does she budget for groceries each month?
State your answer in terms of dollars, rounded to the nearest whole dollar.
Answers
Answer: $265
Step-by-step explanation: Fran has a monthly income of $2940, and she budgets 9% of it for groceries. 9% of $2940 is $265 dollars.
Hope this helps!
a ladder 7.5m long rests against a wall . the botton of ladder is 2.1m from the wall . calculate how far the ladder reaches up the wall.
Answers
Answer:
h = √(7.5² - 2.1²) = 7.2 m
Step-by-step explanation:
pleasle help with math problem
Answers
Answer: 12
I am not sure what you need help with exactly but
3 ÷ 1/4 = 12
Reason: 3 ×4/1 = 12 3×4= 12/1 take off the 1 and the answer is 12
why 4/1 you would find the reciprocal of 1/4 and the reciprocal of 1/4 is 4/1 or just 4 you dont need the 1 but if you cant handle your math problem without the 1 you can use it but always remember to take out the 1 in your final answer.
I really hopes this helps you.
3/1/4=> 3/1 x 4/1
=12
PLS HELP ASAP IM TAKING AN RXAM!!! 40 POINTS!!!!!!
Using data from the Internet, we've compiled a list of Presidents of the United States through 2012 to show party affiliations and ages during office. You completed a frequency table and bar graph using this data. The bar graph is shown below. Describe what you can say about this bar graph given the data and the graph.
Answers
The given bar graph shows the number of years that each president served in office, and the presidents of the United States are represented by the width of the bar graph.
What is a bar graph?A bar graph is one way of representing data, The height of the bar graph represents relative frequencies and the width of the bar graph represents
it's class width or an interval.
The height given bar graph represents no. of years each president lasted
and the width of the bar graph represents the Presidents of the United States.
R-Republican lasted the most no.of years which is 18 years and U-Union lasted the least no of years which is one.
learn more about bar graphs here :
https://brainly.com/question/13298277
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pls pls help i’ll mark brainliest quickly!!!
Part A: The number of cubic feet of water, y, in a pool 2 hours after the water starts flowing into the pool is a linear function. The points (40,3000) and (60,4000) lie on the line of the function. Calculate the slope of the line.
Part B: What does the slope of the line represent in Part A? Explain in your own words and use compete sentence.
Part C: Explain how the slope formula is related to the definition of slope. Use complete sentences.
Answers
Answer:
m=50
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDAS
Algebra I
Slope Formula:
Step-by-step explanation:
Step 1: Define
Point (40, 3000)
Point (60, 4000)
Step 2: Find slope m
An office manager has 10,000$ to spend on new equipment
Answers
300 divided by 72 equals (300 divided by 7) + (300 divided by 2) = 2,100 + 600 = 2,700
What is the answer for 14.8 x -2.5
Answers
Answer:
-37
Step-by-step explanation:
The answer is -37
Hope this is the answer u needed have a great rest of ur day
Answer:
the answer is -37
Step-by-step explanation:
hope this helps have a good rest of your night :)❤
Analyze the table below and complete the instructions that follow.
Blue
Brown
Green
Total
Male
10
B
1
28
Female
D
15
C
26
Total
18
A
4
E
Solve for the variables in the table.
Answers
Answer:
C
Step-by-step explanation:
-2 5/12 - (-10 8/9)
Answers
[tex]-2 \dfrac 5{12} - \left( - 10 \dfrac 89 \right)\\\\\\=- \left(2 + \dfrac 5{12} \right) + \left(10 + \dfrac 89 \right) \\\\\\=8 + \dfrac 89 - \dfrac 5{12}\\\\\\=8+ \dfrac{32}{36} - \dfrac{15}{36}\\\\\\= 8 + \dfrac{17}{36}\\\\\\= 8 \dfrac{17}{36}[/tex]
In the diagram, <4 and <5 are what type of angles?
A. corresponding angles
B. Alternate interior angles
C. Alternate exterior angles
D. Consecutive interior angles
Answers
Answer:
B. Alternate interior angles
Step-by-step explanation:
The quotient of a number p and 3 is 24
Answers
Answer:
p= 8
Step-by-step explanation:
because 8 x 3 is 24
hope this helps!❄︎
Explanation: if you think about it and divide 24 by 3 you would get 8
PLEASE SOMEBODY HELP Let x and Y be two positive integers such that x-y =75 and the least common multiple of x and y is 360. Find the value of x+y.
Answers
Step-by-step explanation:
xy=360
x-y=75
(x-y)^2+2xy=(x+y)^2-2xy hence we have for x+y= ((x-y)^2+4xy)^0.5 which somehow equals 84.1
$4800 is 60% of what number?
Answers
Answer:
8000
Step-by-step explanation:
