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
PLEASE HELP ME!! I really need the help with this question!!
Answers
A simple way to test if a relation may be taken as a function is by applying the Vertical Line Test. If a Vertical Line crosses the graph only once, then it is a function. In this question, only the first one can be considered to be a function.
Because in other words, only the first graph shows one value for x corresponding to another for y value. Not the case for the second and the third graph displaying two values for x for each y value.
Complete the table for the value of each digit in 123.
Answers
Answer:
1,2,3,4,5,6,7,8,9,10
2,4,6,8,10,12,14,16,18,20
3,6,9,12,15,18,21,24,27,30
Step-by-step explanation:
Triangle XYZ is similar to ABC.
Enter the missing side length.
Answers
Solve
-46 + - 4
A. 50
B. 42
C. -42
D. -50
Answers
The correct alternative that, matches the correct value of this expression is the letter D. That is, the answer will be -50.
Step-by-step explanation:To find the value of this expression, let's eliminate the parentheses and extract the numbers.
To find the value of this expression, let's eliminate the parentheses, and add the numbers, where the signs are equal.
_ When the signs are the same: just add them up.
_ When the signs are different: just subtract.
Resolution:[tex]\large \sf =-46 + (- 4)[/tex]
[tex]\large \sf =-46-4[/tex]
[tex]\boxed{\boxed{\large \sf -50 }}[/tex]
So, the numeric value of this numeric expression will be -50.
Pete says the relationship between the amount he weighs and his age are proportional do you agree or disagree? explain
Answers
Answer:
Disagree
Step-by-step explanation:
I dont think this is a math question but answering it in a science point of view it would make sense to disagree with Pete. There is a lot of factors that go into the weight of a person such as gender, age, body frame, and height. Lots of people can vary which is why its not proportional
i need help plz the question is in the image
Answers
Answer:
46<h
Hopes this helps :)
Find the equation of the line with slope −7 which goes through the point (−5,5).
Give your answer in slope-intercept form y=mx+b.
Answers
Answer:
[tex]\boxed {\boxed {\sf y= -7x -30}}[/tex]
Step-by-step explanation:
We are asked to find the equation of a line, given a point and a slope.
We can use the point-slope formula:
[tex]y-y_1= m(x-x_1)[/tex]
In this formula, (x₁, y₁) is the point and m is the slope. This line has a slope of -7 and passes through the point (-5,5). Therefore:
x₁ = -5 y₁= 5 m= -7Substitute the values into the formula.
[tex]y-5= -7 (x- -5)[/tex]
[tex]y-5= -7(x+5)[/tex]
We want to give the answer in slope-intercept form, or y=mx+b. We must isolate the variable y.
First, distribute the -7 on the right side of the equation. Multiply each term inside the parentheses by -7.
[tex]y-5= (-7*x) + (-7*5)\\y-5 = (-7x) + (-35) \\y-5= -7x -35[/tex]
5 is being subtracted from y. The inverse operation of subtraction is addition. Add 5 to both sides of the equation.
[tex]y-5+5 =-7x -35 +5 \\y= -7x -35 +5 \\y= -7x +30[/tex]
The equation of the line is y= -7x+30.
Please answer and show your work
Answers
Answer:
check online for more information
NEED HELP PLS
Find the equation of the exponential function represented by the table below:
Answers
Answer:
y = 5(4ˣ)
Step-by-step explanation:
Answer:
y = 5 * 4^x
Step-by-step explanation:
exponential functions are of the form
y = ab^x
to find a use point (0, 5)
5 = ab^0
5 = a * 1
a = 5
To find b use any other point
using (1, 20)
20 = 5(b^1)
4 = b^1
b = 4
The equation is
y = 5 * 4^x
what is perpendicular lines
Answers
Perpendicular lines are lines, segments or rays that intersect to form right angles. The symbol ⊥ means is perpendicular to . In the figure, PR⊥QS. The right angle symbol in the figure indicates that the lines are perpendicular. PLS MARK BRAINLIEST :D
If a 32 ft. tall tree casts an 8 ft. shadow , how long of a shadow dc 6 ft. tall man have?
Answers
Answer:
1.5ft
Step-by-step explanation:
32/8=4
32/4=8
6/4=1.5
What Value is equivalent to 30-6 x 3
Answers
Answer:
5/1
Step-by-step explanation: I could be wrong though
Have a Good Day <3
the sum of 22 and n is equal to 45.13
Answers
Answer:
23.13
Step-by-step explanation:
A parking area that is to be resurfaced is shaped like a trapezoid. The bases are 90 feet and 100
feet, and the height is 30 feet. What is the cost if the price of the resurfacing is $1.10 per square
foot? Answer in a whole dollar amount, without the dollar sign.
Answers
Based on the dimensions of the parking area, we know that the cost of resurfacing will be $3,135.
First find the area of the parking area:
Area of trapezoid = (Base ₁ + Base₂) / 2 x Height
= (90 + 100) / 2 x 30
= 2,850 feet²
The cost of resurfacing is:
= Area x cost per square foot
= 2,850 x 1.10
= $3,135
It will cost $3,135 to resurface the place.
Find out more at https://brainly.com/question/12451654.
Item 2
Which equation represents this sentence?
Twice the difference of 0.75 and a number is−3.
2(n−0.75)=−3
2(0.75−n)=−3
2n−0.75=−3
0.75−2n=−3
Answers
Answer:
B. 2(0.75-n)=-3
Step-by-step explanation:
twice means to multiply by 2
difference means to subtract, difference of 0.75 and a number is 0.75-n (n representing unknown number)
equals -3
Hope this helps!
Answer:
B. 2(0.75-n)=-3
Step-by-step explanation:
it's B
Please can some one help me please
Answers
Answer:
a)3
b)33
Step-by-step explanation:
a)10% is the same as 10/100 so 30/100=0.3 x 10= 3
b) 3+30 = 33
ANSWER USING STEPS: y=2/3x-5
Answers
when x=0, y=-5
when y=0, x=15/2
when x=1, y=-13/3
x=(3(y+5))/2
If a university accepts 40% of those students who apply for entrance, and 75% of admitted applicants accept, what percentage of total applicants actually accepts offers of admission?
Answers
Answer:
30%
Step-by-step explanation:
75% of 40 is 30
The percentage of total applicants that accepts offers of admission is = 30%
Calculation of percentage of total applicantsThe percentage of acceptance for students that apply for entrance is = 40%
The percentage of admitted applicants that accept the offer= 75%
This means that it is only 75% of 40% of the accepted students actually accept the offer of admission.
That is, 75/100 × 40%
= 3000/100
= 30%
Therefore, the percentage of total applicants that accepts offers of admission is = 30%
Learn more about percentage here:
https://brainly.com/question/17880579
Math expert please simplify this I am confuse thanks you
Answers
Answer:
11
Step-by-step explanation:
39 - 6 / 3
= (39 - 6) / 3
= 33 / 3
= 11
Answer:
a-2
Step-by-step explanation:
(3a-6)/3 You can factor the numerator to 3(a-2) so you have
[tex]\frac{3(a-2)}{3}[/tex]
simply divide by the 3->
a-2
the bottom the range has the same numbers so I just need the domain and range help plz!!
Answers
How to identify domain and range from co-ordinate pairs?
If a pair be (x,y)Domain=x
Range=y
Hence.
In the graph here
[tex]\\ \sf\longmapsto D_f=0\leqslant x\leqslant y[/tex]
[tex]\\ \sf\longmapsto R_f=0\leqslant y\leqslant 14[/tex]
4 kilometers x miles
Answers
Answer:
6 437 376 m2 (2.49 mi)
Step-by-step explanation:
0.62137119 miles = 1 kilometer
Give TWO different ways to write EACH expression in WORDS.
a. -8n
b. a - 1
c. x/2-4
d. 5y + 9
Answers
Answer:
a. negative eight times a number, the product of a number and negative eight
b. one less than a number, a number minus one
c. four less than the quotient of a number and two, half of a number minus four
d. nine more than the product of five and a number, five times a number plus nine
lemme know if this was a help :P
Step-by-step explanation:
Benji took out a $10,000 loan at a 13% interest rate. Benji will not make a payment for the next 3 years. How much will be owed in 3 years with monthly compounding?
Round your answer to the nearest cent.
(please help)
Answers
Answer:
Plug into calc
Step-by-step explanation:
A= P(1+r/n)^nt
A= 10000(1+.13/12)^12*3
WHAT IS THE EQUATION IN SLOPE INTERCEPT FORM FOR THE LINE THAT PASSES THROUGH THE POINT (-2,6) AND A SLOPE OF -1/4
Answers
It's a line so its equation is in the form : y = mx + b where m is the slope/gradient and b the y-intercept.
Since the slope m here is -1/4, we can write :
y = (-1/4)x + b
And since that line passes through the point x=-2, y=6, we can find the y-intercept by solving this equation of unknown b :
b + (-1/4)*(-2) = 6
b = 6 - (-1/4)*(-2)
b = 6 - (2/4)
b = 6 - 1/2
b = (12-1)/2 = 11/2
Finally, the equation is y = (-1/4)x + 11/2
Original price of shorts $53.95 Discount 30% Tax 4.5 percent %
Answers
Answer:
$39.50 is the final payment.
Step-by-step explanation:
0.3 x 53.95 = 16.185
53.95 - 16.185
= 37.765
0.045 x 37.765 = 1.699425 + 37.765
= 39.464425 and round
Is the point (4, -15) on the line y = -3x - 3
Answers
Answer:
yes
Step-by-step explanation:
since the format of ordered pairs is (x,y) we can plug in the values into the equation to see if they are on the line
y = -3x - 3
-15 = -3(4)-3........plug in values
-15 = -12 - 3........multiply
-15 = -15..............subtract
-15 = -15..............this is true
Answer:
yes
Step-by-step explanation:
y = -3x-3
Substitute the point into the equation
-15 = -3(4) -3
-15 =-12-3
-15=-15
This is true so the point is on the line
7. Veronica brought her turtle out of its aquarium for 15 minutes every
night for 7 days. How many total minutes did she bring her turtle
out of its aquarium? Write another scenario that uses the same numbers.
Help me plz I know the answer, but I need help writing another scenario that uses the same numbers.
Answers
Answer:
Brittany took a 15 minute walk every morning for 7 days. How many minutes did she walk for?
Step-by-step explanation:
You might be able to use this.
HELP ASAP ILL GIVE BRAINLIEST
Answers
Answer:
y=−2x−10
Step-by-step explanation:
Please help me and give explanation on how you got your answer if not that’s fine
Answers
The reason is because well first of the plotted dot is filled in with means that x needs to be less then or equal too so to represent that you put the line under the less then symbol and none of the other options have that exact symbol
The arrow is going to the left this is stating that x needs to be less than -2
If it’s wrong then I apologize because I don’t really remember this
need help with this question
Answers
Answer:
Between 6 & 7
Step-by-step explanation:
The square root of 45 is 6.7. So it'll be between 6 & 7.