This question is worth 100 points please answer now. Algebra 2. I will mark you brainliest.
Show all work to identify the asymptotes and zero of the function f of x equals 4 x over quantity x squared minus 16.
Answers
Answer:
The vertical asymptotes occur at x = 4 and x = -4
The zero of the function is (0, 0)
Step-by-step explanation:
The given function is [tex]f(x) = \dfrac{4\cdot x}{x^2 - 16}[/tex]
Therefore, we have;
[tex]f(x) = \dfrac{4\cdot x}{x^2 - 16} = \dfrac{4\cdot x}{(x - 4) \cdot (x + 4)}[/tex]
The asymptote is given at the value of x for which the denominator = 0, therefore, the asymptote are the values of x that make the denominator of the equation equal to zero, which are given as follows
For the asymptote, the denominator = x² - 16 = (x - 4)·(x + 4) = 0
Therefore, the vertical asymptotes are the lines x = 4 and x = -4.
The zero of the function is given as follows;
[tex]f(x) = \dfrac{4\cdot x}{x^2 - 16} = 0[/tex]
Therefore, 4·x = (x - 4)·(x + 4) × 0 = 0
x = 0/4 = 0
Therefore, when f(x) = 0, x = 0 and the zero of the function = (0, 0).
Related Questions
What is the slope of the line graphed on the coordinate plane?
Answers
Answer:
3/4 slope
Step-by-step explanation:
Mark me brainleist please ;c
don’t make me cry ;c
Step-by-step explanation:
When the line moves up 3 blocks, it also moves across 4 blocks.
Therefore the slope of the line is 3/4.
En un triangulo rectángulo, uno de los catetos mide 54 dm y su proyección sobre la hipotenusa, 32,4 dm. Calcula la medida de la hipotenusa
Answers
Answer:
63 dm (aproximadamente)
Explicación paso a paso:
Dada a medida dos dous lados do triángulo: 54 dm e 32,4 dm.
Dado que se afirma que o terceiro lado é o hipoteno, que é o lado máis longo dun triángulo rectángulo, o hipoteno (h) pódese obter así:
h = sqrt (54 ^ 2 + 32,4 ^ 2)
h = sqrt (2916 + 1049,76)
h = sqrt (3965,76)
h = 62,974280
h = 63 dm (aproximadamente)
-x + y = 5
x - 5y = 2 ---> x= 5y + 2
I have solved the second equation for x. What is the next step if solving this system with substitution?
A. -(5y+2) + y = 5
B. -x + y = 5 + 5y + 2
C. None of the Above
D. -x + 5y + 2 = 5
Answers
Answer:
A. -(5y+2) + y = 5
Step-by-step explanation:
Solving the above Equation given to us in the Question,
-x + y = 5...... Equation 1
x - 5y = 2....... Equation 2
Step 1
We make x subject of the formula in Equation 2
---> x= 5y + 2
Step 2
This would be to substitute 5y + 2 for x in Equation 1
-x + y = 5...... Equation 1
-(5y+2) + y = 5
Hence, Option A is the correct option
b) y = x2 - 10
d) y = x3 - 9
f) y = (x - 2)2
h) y = (2x + 3)
Answers
If you ask a question will the points given ne deducted from your points
Answers
Answer:
I think so yeah. not sure though
Answer:
I think I kinda get this question but can you be a little more...Specific?
Step-by-step explanation:
y < -6( x − 18) − 2 when y = 46?
Answers
Well since y would be 46 if this is just you trying to find x, the answer would be x < 10
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Answers
Answer:
a
Step-by-step explanation:
"If a number divided by 4 leaves remainder 2 or 3", then which one is the correct statement 'n why?
(a) The number is not a perfect square.
(b) The number is a perfect square.
(c) The number is a prime number.
(d)None of these
Answers
Answer:
As the number is a prime number. Therefore, option 'c' is true.
Step-by-step explanation:
Let us take the number 7 and divide it by 4
[tex]\frac{7}{4}[/tex]
We know that
[tex]Quotient\frac{Remainder}{Divisor}[/tex]as
[tex]\frac{7}{4}=1\frac{3}{4}[/tex]
so the remainder is 3. ∵ [tex]Quotient\frac{Remainder}{Divisor}[/tex]
As 7 is a prime number, and when we divide the prime number 7 by 4, we get the remainder 3.
Thus, the number is a prime number. Therefore, option 'c' is true.
Find the probability a house has at least 3 tvs
Answers
Answer:
1.1? i think
Step-by-step explanation:
2.06? I think is the answer to the question
The discount of a hat is 18 Dollars,
what is the regular price
20°/• discount
Answers
Answer:
14.4 dollars
Step-by-step explanation:
the Hat has 20 percent discount
The Hat with discounted price is 18 dollars
the 20% of 18 dollar is 3.6 dollars
hence if we subtract 3.6 dollars from 18 dollars
we get 14.4 dollars as regular price
wht is the volume of 729 cubed feet
Answers
Answer:
118085.765 hope this helps have a nice day please give me brainliest:)
Step-by-step explanation:
The graph shows the number of students enrolled in a high school over a seven years period.
Answers
Simplify
20
What the answer?
Answers
Answer:
2√5
Step-by-step explanation:
√20
√4 ×√5
2√5
Follow Me Please
Answer:
2√5
Step-by-step explanation:
√20=√2⋅2⋅5. =√22⋅5. =2√5.
Find the slope between the two points: (20, 8), (9, 16)
Answers
Answer:
[tex] \huge - \frac{8}{11} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
From the question we have
[tex]m = \frac{16 - 8}{9 - 20} = \frac{8}{ - 11} = - \frac{8}{11} \\ [/tex]
We have the final answer as
[tex] - \frac{8}{11} \\ [/tex]
Hope this helps you
Answer:
[tex] \huge \boxed{ \boxed{ \tt - \frac{8}{11} }}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:linear equationslopePEMDASgiven:points:(20,8),(9,16)to find:slopetips and formulas:[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]let's solve:let (20,8) and (9,16) be start and end points respectively
according to the question
[tex] \sf\frac{8 - 16}{20 - 9} [/tex][tex] \sf substract : \\ \sf \frac{ - 8}{11} [/tex]and we are done
Six less than a number is greater than 4. What is the smallest possible integer that would make this inequality true?
Answers
n - 6 > 4
Add six to both sides to solve.
n - 6 + 6 > 4 + 6
n > 10
I suppose the smallest integer would be 11.
Answer all questions
DO NOT ANSWER IF YOU DO NOT KNOW
DO NOT SCAM
Answers
Answer:
1. The Industrial Revolution had many positive effects. Among those was an increase in wealth, the production of goods, and the standard of living. People had access to healthier diets, better housing, and cheaper goods. In addition, education increased during the Industrial Revolution.
3.Socialism is an economic and political system. It is an economic theory of social organization. It states that the means of making, moving, and trading wealth should be owned or controlled by the workers. This means the money made belongs to the workers who make the products, instead of groups of private owners.
6.Under capitalism, you work for your own wealth. ... Socialist systems emphasize equal distribution of wealth among the people. Communism. In a way, communism is an extreme form of socialism.
Step-by-step explanation:
that's all I know!!
Calculate the volume of the prism by first finding the total number of half-unit cubes that will fill it. There are 8 half-unit cubes in every unit cube. 12 1
Answers
Answer: 3
Step-by-step explanation: QPEX VERIFIED JUST DID IT
Help on this please
Answers
Answer:
I got 25
I really hope that helps
Answer:
I got B. 25
Step-by-step explanation:
B is your answer
what is an equivalent expression for (6 powered by 4)to -1 powered
Answers
Answer:
1/1,296
Step-by-step explanation:
[tex]( {6}^{4} )^{ - 1} = {6}^{ - 4} = \frac{1}{ {6}^{4} } = \frac{1}{1,296} \\ [/tex]
express the scientific notation:4830000000 with all formula
Answers
Solve
Log(x-1)+log(2)=7
Answers
Answer:
x is 6 i believeee if you're solving for x!!
Step-by-step explanation:
Answer:
x = 1 + 0.5 * 10^7
Step-by-step explanation:
Use log(a) + log(b) = log(ab).
log(x-1) + log(2) = 7 <=> log(2(x-1)) = 7 <=> log(2x-2) = 7
Using log(a) = b <=> a = 10^b
log(2x-2) = 7 <=> 2x-2 = 10^7 <=> 2x = 2 + 10^7 <=> x = 1 + 0.5 * 10^7
X^2+7x=-49 what is x?
Answers
Answer:
In x + 2 = 7, x is a variable, but we can work out its value
Step-by-step explanation:
write .55 as a percent :(
Answers
Answer:
the answer is 55%, I hope this helps you :)
Greg went to Bed Bath and Beyond to buy Christmas gifts for his family this year. In his first trip he bought 4 candles, 5 wallflowers, and 6 lotions for a total of $123. Greg forgot some people on his list the first time so he makes a second trip and spent $48 to buy 2 candles, 3 wallflowers, and 1 lotion. The price of a lotion is 2 less than 2 times the price of a wallflower. How much does each item cost?
Answers
Answer:
Price of Candle: 12.5
Price Wallflower: 5
Price of Lotion: 8
Step-by-step explanation:
Let cost of a candle = [tex]x[/tex]
Let cost of a wallflower = [tex]y[/tex]
Let cost of a lotion = [tex]z[/tex]
Cost of 4 candles = 4[tex]x[/tex]
Cost of 5 wallflowers = 5[tex]y[/tex]
Cost of 6 lotions = 6[tex]z[/tex]
Cost of 2 candles = 2[tex]x[/tex]
Cost of 3 wallflowers = 3[tex]y[/tex]
Cost of 1 lotion = [tex]z[/tex]
As per question statement:
[tex]4x+5y+6z=123 .... (1)\\2x+3y+z=48 ...... (2)\\z=2y-2 ..... (3)[/tex]
Using equation (3) in (1) and (2), the equations get reduced to :
[tex]\Rightarrow 4x+17y = 135 ..... (4)\\\Rightarrow 2x+5y = 50 ..... (5)[/tex]
Multiplying (5) with 2 and subtracting from equation (1):
[tex]7y = 35\\\Rightarrow y = 5[/tex]
By equation (3):
[tex]\Rightarrow z =8[/tex]
By equation (4):
[tex]\Rightarrow x = 12.5[/tex]
Therefore, the answer is:
Price of Candle: 12.5
Price Wallflower: 5
Price of Lotion: 8
One of the Great Pyramids in Egypt has the shape of a square pyramid with the base length of 20 feet, and the height of 150 feet tall. If the stones that were used to build the pyramid had a volume of 40 cubic feet each, how many stones did the Egyptians need to build the pyramid?
Answers
Answer:
500
Step-by-step explanation:
Given that:
Shape of one of the Great Pyramids in Egypt is a square pyramid.
Base of pyramid is of square shape with length = 20 feet
Height of pyramid = 150 feet
Volume of each stone used for the construction of the pyramid = 40 cubic feet
To find:
Number of stones used for the construction of the pyramid.
Solution:
First, we need to find the volume of the square pyramid and then we need to divide the volume of pyramid with the volume of one stone used for the construction.
It will give us the number of stones used for the construction of pyramid.
Volume of a pyramid is given as:
[tex]V = \dfrac{1}{3}\times \text{Area of base}\times Height[/tex]
Here, base is a square, so area of base = [tex](Side)^2[/tex]
[tex]V = \dfrac{1}{3}\times 20^2\times 150 = 400\times 50 ft^3[/tex]
Number of stones of 40 cubic feet each, required = [tex]\frac{400\times 50}{40}[/tex] = 500
Can someone please explain to me how to do this
Answers
Step-by-step explanation:
u should:
7t = t + 48 » 7t - t = 48 » 6t = 48 » t = 8
and another one is:
2u + t + 13 = 10t + u - 44» 2u + 8 + 13 = 80 + u - 44»
» 2u + 21 = u + 36 » 2u - u = 36 - 21 » u = 15
2x - x -1 = -1 + x
I need help on this problem may you help please
Answers
Answer:
x=0
Step-by-step explanation:
jackie rode his bike 20 miles per hour for 1 1/2 hours. how far did he ride?
Answers
Answer:
30 miles.
Step-by-step explanation:
To calculate distance traveled, you multiply the miles per hour by the number of miles. In this problem, it is 20 times 1.5 or 20 times 1 1/2. This equals 30 miles per hour.
Pls help. I don't know how to do this and pls don't answer if you don't know the answer.
Answers
Answer:
m = 3 5/18
All you need to do is rewrite the equation as 8 1/9- 4 5/6
help a girl out plz!! im confused
Answers
Answer:
30
Step-by-step explanation:
distribute the 5 to z and 4 --> 5z + 20
same with 5 to the 2 and -z --> 10-5z
5z + 20 + 10 - 5z = ? combind like terms
the z cancle out leaving 20 + 10 = ?
Answer:
20z-10z
Step-by-step explanation:
Distribute the 5 to both z and 4 which would make it 20z
Distribute the 5 to the 2 and -z which gives you 10z
Put them together and you get the answer