Show all work to identify the asymptotes and zero of the function f of x equals 3 x over quantity x squared minus 9.
Answers
Answer:
Asymptotes: x = -3, x = 3, y = 0Step-by-step explanation:
Given function:
f(x) = 3x / (x² - 9)Zero of the function:
f(x) = 03x / (x² - 9) = 0x = 0, x ≠ -3; 3Vertical asymptotes:
x² - 9 = 0x² = 9x = √9x = -3; x = 3Horizontal asymptotes:
The horizontal asymptote is y = 0, since the degree of the numerator is 1, while the degree of the denominator is 2.The graph with asymptotes and zero is attached
Related Questions
When you roast coffee, it loses 12% of its weight. How much fresh coffee do you need in order to get 14 2/25 lb of roast coffee?
Answers
Answer:
X - X/12 = 14 2/5 = 72/5 1/12 of X is lost in roasting
(12 X - X) / 12 = 72/5
11 X / 12 = 72/5
11 X = 864 / 5
X = 864 / 55
15.71 lbs handy to use calculator here
Or 864 / 55 = 15 39/55 lbs
Answer:
16 lbs
Step-by-step explanation:
the independent and dependent variables.
1) You are taking a road trip in a car and want to know how far you've traveled (read the odometer) at various times
during your trip.
A) does not describe a function
B) Independent variable, distance traveled; dependent variable, time
C) Independent variable, time; dependent variable, distance traveled
actont Writon statement that describes how one
Answers
Answer:
C) Independent variable, time; dependent variable, distance traveled
Explanation:
An independent variable (also known as the manipulated variable) is the thing you change on purpose. A dependent variable (also known as responding variable) is what you measure on different kinds of trials. You are measuring how far you've gone. You will measure this at various times (you change this).
Correct answer is C : Independent variable, time; dependent variable, distance traveled actont Writon statement that describes how one.
What is Independent variable?The independent variable exists as the variable being regulated in the problem, and the dependent variable exists as the variable that varies because of this control.
It exists a variable that stands alone and isn't altered by the other variables you exist trying to measure.
An independent variable (also known as the manipulated variable) is the thing you change on purpose. A dependent variable (also known as responding variable) is what you measure on different kinds of trials. You are measuring how far you've gone. You will measure this at various times (you change this)To learn more about Independent variable refer to:
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The figure below is a prism with a right-triangle base.
What is the surface area of the figure?
Help me please
Answers
A 60 cm bamboo is divided in the ratio 4: 2 . What is the length of the longer piece?
Answers
Answer:
40
Step-by-step explanation:
the stages in
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a
1
The diagram shows a cylinder.
8.2 cm
10 cm
The cylinder has radius 8.2 cm and height 10 cm.
The cylinder is empty.
Pam pours 1.5 litres of water into the cylinder.
Work out the depth of the water in the cylinder.
Give your answer correct to 1 decimal place.
Answers
Answer:
7.1 cm
Step-by-step explanation:
You want the height of a cylinder of radius 8.2 cm and volume 1500 cm³.
V = πr²h . . . . . formula for the volume of a cylinder
h = V/(πr²) . . . formula solved to give h
h = (1500 cm³)/(π·(8.2 cm)²) ≈ 7.1 cm
The depth of the water is about 7.1 cm.
Next, Kevin makes a cylinder-shaped candle. He uses a metal can as a mold. The can has a radius of 6 centimeters and a height of 18 centimeters. How much wax is needed to fill the metal can?
Answers
Answer:
Kevin needs approximately 2034.7 centimeters of wax to fill the metal can.
Step-by-step explanation:
To find the how much wax is needed to fill the metal can we have to find the volume of the cylinder in which we use the equation, V = 3.14(r^2)(h)
V = 3.14(r^2)(h)
3.14(6^2)(18)
3.14(36)(18)
3.14(648)
V = about 2034.7 centimeters
Lin’s father is paying for a $35 meal. He has a 15%-off coupon for the meal. After the discount, a 4% sales tax is applied.
What is the discount amount? $
What is the subtotal? $
What is the amount of tax added? $
What does Lin’s father pay for the meal? $
also there are suppose to be 4 answers so if you do know it please tell me 4 answers
Answers
Answer:
discount: $5.25
subtotal: $29.75
added tax: $1.19
total: $30.94
Step-by-step explanation:
15% of 35 = $5.25
$35 - $5.25 = $29.75
$29.75 + 4% = $30.94 Sales tax = $1.19
Answer:
Step-by-step explanation:
100% - 15% = 85% = 0.85
$35 × 0.85 = $29.75 (Subtotal)
100% + 4% = 104% = 1.04
$29.75 × 1.04 = $30.94
~~~~~~~~~~~~~~~
What is the discount amount?
$35 × 0.15 = $5.25
What is the subtotal? $29.75
What is the amount of tax added?
$29.75 × 0.04 = $1.19
What does Lin’s father pay for the meal? $30.94
Pls help with this:/
Answers
9514 1404 393
Answer:
a. y = -1/3x +7/3
b. f(6) = 1/3
Step-by-step explanation:
The two given points are (1, 2) and (4, 1). The slope of the line between them is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (1 -2)/(4 -1) = -1/3
The point-slope form of the equation of the line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
We can add k to both sides of this equation and substitute for our slope (-1/3) and the first point (1, 2). This gives ...
y = m(x -h) +k
y = -1/3(x -1) +2
y = -1/3x +7/3 . . . . eliminate parentheses
__
b. The value of y when x=6 is ...
y = -1/3(6) +7/3 = (-6 +7)/3
y = 1/3
That is, for f(x) = -1/3x +7/3, ...
f(6) = 1/3
write the following numbers as the product of a natural number with a power of 10
a) 2450
b) 35000
c)4000400
d) 10101010
Answers
[tex]\\ \sf\longmapsto 2450=2\times 35\times 35\times 1^{10}[/tex]
#2
[tex]\\ \sf\longmapsto 35000=35\times 10(10)(10)\times 1^{10}[/tex]
#3
[tex]\\ \sf\longmapsto 4000400=2\times 2\times 1001\times 100\times 1^{10}[/tex]
#4
[tex]\\ \sf\longmapsto 10101010=1010101\times 10\times 1^{10}[/tex]
Step-by-step explanation:
The numbers are given in the form of N*10ⁿ, where N is a natural number
a) 2450 = 245*10 b) 35000 = 35*10³ c)4000400 = 40004*10² d) 10101010 = 1010101*10the length of a rectangle is 10 meters more than the width. if the perimeter is 72 meters, what are the length and width?
Answers
Check the picture below.
Step-by-step explanation:
let's say a is length, and b is width:
a = 10 + b
after this, we can write:
2(a + b) = 72
2(10 + b + b) = 72
2(10 + 2b) = 72
20 + 4b = 72
4b = 72 - 20
4b = 52
b = 52 ÷ 4
b = 13
if b = 13, then a = 10 + b = 10 + 13 = 23
so: a = 23 and b = 13
A car is traveling at a speed of 54 kilometers per hour. What is the car's speed in meters per second? How many meters will the car travel in 10 seconds? Do not round your answers.
Answers
Sarah had 1 3/4 bags of trail mix. She age 1/2 of a bag. She gave 1/3 of a bag to her friend. She dropped 1/6 of a bag and she was sad. How much trail mix did she had left?
Answers
Answer:
3/4 bags of trail mix
Step-by-step explanation:
She ate 1/2 of a bag, she gave 1/3 of a bag, and she dropped 1/6 of a bag. In total she "lost" 1/2+1/3+1/6=1 bag of trail mix. So she has 1 3/4-1=3/4 bags left
8 m good wire how long is the wire in millimeters
Answers
Answer:
Converting m to mm
=> 1 m = 1000 mm
=> 8 m = 8000 mm
Therefore,
The wire will be 8000 mm long.
Hope it helps you...
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A kayak is originally priced at $130. The online retailer vives a Discount and the kayak is now priced at $65. Enter the porcentaje Discount for the cost of the kayak
Answers
Answer:
50% decrease
Step-by-step explanation:
130-65 = 65
65/130 = 0.5
0.5 x 100 = 50
use the given circle. Find the length s to the nearest tenth A. 33.5 cm B. 8.4 cm C. 16.8 cm D. 5.3 cm
Answers
Answer:
16.8
Step-by-step explanation:
s = ∅ × r
= 2π/3 × 8
= 16/3 * π
= 16.75516
= 16.8
Answer:
C.) 16.8 is your answer
Step-by-step explanation:
a
Use a trigonometric equation to
determine the leg of this triangle.
10 m
[?] m
30°
Answers
Answer:
use pythogoras therom to solve it and its say to find base its formula is h square - psquare
Explain the differences and similarities of the steps for dividing whole numbers and decimals.
Answers
Answer: Comparing a whole numbers and a decimals:
First let’s talk about the similarities of comparing whole numbers and decimals:
=> their place value always matters.
Now, let’s proceed to their differences
=> in comparing whole numbers, we don’t care about the value to the nearest decimal points or the value of ones. We always look at the highest value, not unless the highest values are all the same.
=> In comparing decimals, the value to the nearest decimal points or the tenths place value always matters.
Step-by-step explanation:
Which of the following describes a similarity between a solid and a gas
Answers
Answer:
they are both states of matterthey are both made up of atoms, molecules and ionsthey both have volumewhat should be added to -1 to get 5/7
Pls answer thiss
Answers
Answer:
The answer is 12/7.
Step-by-step explanation:
To get the answer, simply subtract -1 to 5/7
[tex]\frac{5}{7} - (-1)\\[/tex]
Find the least common denominator.
[tex]\frac{5}{7} - (-1) = \frac{5}{7} - \frac{(-7)}{7}[/tex]
= 12/7
To check, add -1 to 12/7.
[tex]\frac{12}{7} + (-1)[/tex]
Find the least common denominator.
[tex]\frac{12}{7} + (-1) = \frac{12}{7} + \frac{(-7)}{7}[/tex]
= 5/7
x + 6 - 6x + 10
integers
Answers
Answer:
-5x + 16
Step-by-step explanation:
I didn't see a equal sign so I assume that x cannot be x = -5/16
So I combined like terms of x and -6x to get -5x as well as +6 and +10 to get 16.
To get my final answer as -5x + 16.
Which graph represents a proportional relationship?
Answers
Answer:
The one shown in the photo
Step-by-step explanation:
A proportional relationship is one in which the relationship increases steadily, which looks like a straight line when graphed. Also, the line should pass through the origin, which is the point (0, 0) on a graph.
The graph shown increases steadily (it's a straight line), and passes through the origin (point 0,0) as well. So, it's proportional. Hopefully that's helpful! :)
what is the diameter of a circle that has the circumference of 400
Answers
Answer:
400/π
Step-by-step explanation:
Well, we know that the formula for circumference is πd. (d is the diameter) Then, we set up the equation 'πd = 400'. Now, simplifying for d, we get d = 200/π.
Answer:
400/π
Step-by-step explanation:
Multiply: (3x + 2)(4x + 2)
7 x2 + 12 x + 4
12 x2 + 14 x + 4
3 x2 + 4 x + 2
12 x2 + 18 x + 2
Answers
Answer:
12x²+14x+4
Step-by-step explanation:
(3x+2)(4x+2)
you will coil, multiply first term from the first bracket with the 1st term of the second bracket, and again with the 2nd term of the second bracket
do the same with the 2nd term of the first bracket, you will get the following
12x²+6x+8x+4
12x²+14x+4
Express 24 minutes as a fraction of 2'/2 hours.
Answers
Step-by-step explanation:
1hr = 60
½ hr = 30
60 + 30 = 90
Solve for x: -2(x + 3) = -2x - 6
A. 0
B. 3
C. All real numbers
D.No solution
Answers
Answer:
D.No solution
Answer:
C
Step-by-step explanation:
-2(x + 3) = -2x - 6 Remove the brackets
-2x - 6 = -2x - 6
Since the left and right sides are equal, any number will work.
If you wind up with a false statement, then there are no solutions.
2x + 4 = 2x + 7 Subtract 2x from both sides.
4 = 7
What is the average rate of change between: x = 1 and x = 2? x = 2 and x = 3? x = 3 and x = 4? x y 1 2 3 4 5 4 8 12
Answers
Answer:
The average rate of change between x = 1 to x = 2 is 2, from x = 2 to x = 3 is 4 and from x = 3 to x = 4 is 8.
Step-by-step explanation:
Louis is comparing the populations of several nearby cities. The population of Liberty Crossing can be written as 49 people, and the population of Harrisburg can be written as 47 people. The population of Glenview is 43 times the population of Harrisburg. Drag the cities to put them in order from least population (top) to greatest population (bottom).
Answers
Step-by-step explanation:
Louis is comparing the populations of several nearby cities. The population of Liberty Crossing can be written as 49 people, and the population of Harrisburg can be written as 47 people. The population of Glenview is 43 times the population of Harrisburg. Drag the cities to put them in order from least population (top) to greatest population (bottom).
The order of the cities from least population to greatest population:
Harrisburg
Glenview
Liberty Crossing
Given the information provided:
Harrisburg: This city has a population of 47 people. It's the smallest population among the three cities.
Glenview: The population of Glenview is 43 times the population of Harrisburg.
Since Harrisburg has 47 people, the population of Glenview would be 43 x 47 = 2021 people.
So, Glenview has a larger population than Harrisburg but is still smaller than Liberty Crossing.
Liberty Crossing: The population of Liberty Crossing is given as 49 people, which is the largest population among the three cities.
So, the correct order from least population to greatest population is:
Harrisburg
Glenview
Liberty Crossing
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Shirley is making a map of Main Street, which runs west to east through town. She used the number line shown, where each unit on the number line represents a block of main street and town hall was placed at zero.
After walking Main Street, she noted the following statements in her notebook. The flower boutique is five blocks west of the pet store. The pet store is four blocks east of the bank. The bank is eight blocks west of the hardware store. The hardware store is three blocks east of the bookstore. The bookstore is two blocks east of town hall.
Shirley also made a note to place an empty store in the opposite location of the bank on the number line.
Where should Shirley plot the empty store?
Answers
Answer:
3
Step-by-step explanation:
bookstore is two blocks east of town hall: 0+2=2
the hardware store is three blocks east of the bookstore: 2+3=5
the bank is eight blocks west of the hardware store: 5-8=-3
place an empty store in the opposite location of the bank: opposite of -3 is 3
What is the inequality graphed below?
Answers
Answer:
y>=5/3x+5
Step-by-step explanation:
line is y=5/3x+5
shading is above the line
line is shaded
y>=5/3x+5
Start with x and cube it
Answers
Answer:
x to the power of 3
Step-by-step explanation: