Answers
Answer:
[tex]f(x)=\dfrac{1}{x+4}[/tex]
Step-by-step explanation:
Asymptote: a line which the curve gets infinitely close to, but never touches.
From inspection of the graph, we can see that there is an asymptote at [tex]x=-4[/tex], since the curve gets infinitely close to this line, but never touches it.
Therefore, the function is undefined at [tex]x=-4[/tex]
For a rational function to be undefined, the denominator must equal zero at that point. Therefore, we are looking for a rational function with a denominator that equals zero when [tex]x=-4[/tex].
Therefore, option D is the correct solution, since:
[tex]f(-4)=\dfrac{1}{-4+4}=\dfrac{1}{0} \implies \sf und efined[/tex]
Related Questions
I will give Brainliest!
Mayra bought x grams of rice.
Anika bought 1/3 more than Mayra bought.
Select ALL of the equations that represent the relationship between the amount of rice that Mayra bought, x, and the amount of rice that Anika bought, y.
y = 4/3x
y = 2/3x
y = x - 1/3x
y = x + 1/3x
y = 1/3x
Answers
Answer:
i think last one is the right answer
Step-by-step explanation:
y=1/3x
The length of the term is one year. Calculate the principal if the maturity value is $4,500 and the simple interest is $350.
Answers
Answer:
Easy! The answer is $4,150
Step-by-step explanation:
The $350 is interest so we will take that away from the maturity value to get 4,150!
mark BRAINLIEST IF YOU THINK I HELPED
Solve the system of linear equations. separate the x- and y- values with a coma. -4x+3y=-17 -3x+4y=-11
Answers
Answer:
1, 5
Step-by-step explanation:
I may be a little wrong but;
Multiply it by 3 and 4-
-12x+9y=-51
12x-16y=44
-7y=-7
y=1
x=5
A triangular swimming area is marked off by a rope.
a. If a woman swims around the perimeter of the swimming area, how far will she swim?
b. What is the area of the roped off section?
Answers
Δ perimeter of swimming area:
total length measure of all sides200√3 + 200√6 + 400 + 200( 200√3 + 200√6 + 600 ) m1436.3 mΔ area of roped off section:
1/2 base * height1/2 * (200+200√3)(200√3)20000√3 + 60000 m²94641 m²I think of a number, add 5,then square the answer. The result is 100. What could the number be?
x=
x=
Answers
Answer:
x = 5
x = -15
Explanation:
Let the number be "x"
===================
(x + 5)² = 100x + 5 = ±√100x + 5 = ±10x + 5 = 10, x + 5 = -10x = 10 - 5, x = -10 -5x = 5, -15Answer:
x= 5 or -15
Step-by-step explanation:
let the number be x
(x+5)^2=100
x^2+10x+25=100
x^2+10x-75=9
look for factors of 75 that when you gives you 10 and when you multiply gives you -75
those factors are 15 and -5
replace 10x with 15x and -5x
x^2+15x-5x-75=0
then group them, and factorize
x(x+15)-5(x+15)=0
x-5=0 or x+15=0
x= 5 or x= -15
A credit card company receives numerous phone calls throughout the day from customers reporting fraud and billing disputes. Most of these callers are put “on hold” until a company operator is free to help them. The company has determined that the length of time a caller is on hold is normally distributed with a mean of 2.5 minutes and a standard deviation 0.5 minutes. If 1.5% of the callers are put on hold for longer than x minutes, what is the value of x?
Answers
Using the normal distribution, it is found that the value of x is of 3.585.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of XIn this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 2.5, \sigma = 0.5[/tex].
The value of x is the 100 - 1.5 = 98.5th percentile, which is X when Z = 2.17, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.17 = \frac{X - 2.5}{0.5}[/tex]
[tex]X - 2.5 = 0.5(2.17)[/tex]
[tex]X = 3.585[/tex]
Hence the value of x is of 3.585.
More can be learned about the normal distribution at https://brainly.com/question/24663213
The Changs updated their bedroom by purchasing a new lamp for $89.95 and a comforter set for $239.99. They paid 6 3/5% sales tax on their purchases. If the Changs paid $351.72 total, determine if they paid the correct amount.
Answers
Answer:
Step-by-step explanation:
In order to determine the correct answer, we need to confirm it first by making the solution below:Costs: $89.95 = New Lamp $239.99 = Comforter 6 3/5% = Sales Tax (convert this to decimal and we get 6.6%) $351.72 = Total amount the Chang's paidLet's get the total costs first which is $329.946.6% of 329.94 is $21.78The total cost with the tax would be $351.72.Therefore, the Chang's paid the correct amount. The correct answer would be option D. The Chang's family paid the correct amount for their purchases.
write equivalent expressions 3(x-6)
Answers
Answer:
3(x-6)=3x-18
Step-by-step explanation:
3x-6 is one
Please mark brainliest
Tim’s weight was 320 pounds in 2010 and is 180 pounds in 2020. What is the slope?
Answers
Answer:
-14
Step-by-step explanation:
We have two points
(2010, 320) and ( 2020, 180)
The slope is
m= ( y2-y1)/(x2-x1)
= ( 180-320)/(2020-2010)
= -140/10
= -14 lbs/ year
if the length of diagonal of a square is 4√2 cm, find it's length, perimeter and area.
Answers
Answer:
As Per Provided Information
Length of diagonal of square is 4√2 cmWe have been asked to find the length , perimeter and area of square .
First let's calculate the side of square .
Using Formulae
[tex] \boxed{\bf \:Diagonal_{(Square)} \: = side \sqrt{2}}[/tex]
On substituting the value in above formula we obtain
[tex] \qquad\longrightarrow\sf \:4 \sqrt{2} = side \sqrt{2} \\ \\ \\ \qquad\longrightarrow\sf \:4 \cancel{\sqrt{2}} = side \cancel{ \sqrt{2}} \\ \\ \\ \qquad\longrightarrow\sf \:side \: = 4 \: cm[/tex]
Therefore,
Length of its side is 4 cm.Finding the perimeter of square.
[tex] \boxed{\bf \: Perimeter_{(Square)} = 4 \times side}[/tex]
Substituting the value we obtain
[tex]\qquad\longrightarrow\sf \:Perimeter_{(Square)} \: = 4 \times 4 \\ \\ \\ \qquad\longrightarrow\sf \:Perimeter_{(Square)} = 16 \: cm[/tex]
Therefore,
Perimeter of square is 16 cm .Finding the area of square .
[tex] \boxed{\bf \: Area_{(Square)} = {side}^{2}}[/tex]
Substituting the value we get
[tex]\qquad\longrightarrow\sf \:Area_{(Square)} \: = {4}^{2} \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Square)} = 16 \: {cm}^{2} [/tex]
Therefore,
Area of square is 16 cm².For questions 4 – 6, name all of the radii of the circle shown in the figure.
For questions 7 – 10, find the measure of the radius of the circle. 7. 8.
Answers
For questions 4 – 6, name all of the radii of the circle shown in the figure.
For questions 7 – 10, find the measure of the radius of the circle. 7. 8.
Answer:
center(-2,5) r=6
You need 120 pieces of chalk for art day. your teacher gar 6 boxes of chalk. Each box he's 18 pieces of chalk. Is that enough chalk for art day if there is 24 students
Answers
Answer:
No
Step-by-step explanation:
6 time 180 is only 108
108<120
There is not enough chalk.
Can someone help me with these please
Answers
Answer:
1a. 210 m^2 1b. 14 ft^2 1c. 199.5 in^2
2a. 270 cm^2 2b. 162 m^2 2c. 272 cm^2
3a. 348 ft^2 3b. 230 in^2 3c. 312.5
Step-by-step explanation:
The area of a triangle can be calculated with one equation...
A = 1/2bh
b stands for base, h stands for height
1a. A = 1/2(21)(20)
One half divides 20 easily..
A = 21(10)
A = 210
1b. A = 1/2(7)(4)
One half divides 4 easily..
A = 2(7)
A = 14
1c. A = 1/2(19)(21)
A = 1/2(399)
A = 199.5
2a. A = 1/2(36)(15)
One half divides 36 easily..
A = 18(15)
A = 270
2b. A = 1/2(18)(18)
One half divides 9 easily..
A = 9(18)
A = 162
2c. A = 1/2(32)(17)
One half divides 32 easily..
A = 16(17)
A = 272
3a. A = 1/2(29)(24)
One half divides 24 easily..
A = 12(29)
A = 348
3b. A = 1/2(23)(20)
One half divides 20 easily..
A = 10(23)
A = 230
3c. A = 1/2(25)(25)
A = 1/2(625)
A = 312.5
Finding area of triangle --> [tex]\frac{1}{2}*b*h[/tex]
b --> length of base of triangleh --> length of height of triangleQuestion 1:
a. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2}*20*21 = 210 m^2[/tex]
b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2}*4*7 = 14 ft^2[/tex]
c. [tex]Area = \frac{1}{2}*b*h= \frac{1}{2} *21*19=199.5in^2[/tex]
Question 2:
a. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *36*15 = 270cm^2[/tex]
b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *18*18 = 162m^2[/tex]
b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *17*32 = 272cm^2[/tex]
Question 3:
a. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *24*29 = 348ft^2[/tex]
b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *20*23 = 230in^2[/tex]
c. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *25*25 = 312.5cm^2[/tex]
Finding Area of Parallelogram --> b * h
b: length of base of parallelogramh: length of height of parallelogramQuestion 1
a. [tex]Area = b * h = 24 * 26 = 624cm^2[/tex]
b. [tex]Area = b * h = 15 * 30 = 450in^2[/tex]
c. [tex]Area = b * h = 21 * 31 = 651 mm^2[/tex]
Question 2
a. [tex]Area = b * h = 18 * 17 = 306 in^2[/tex]
b. [tex]Area = b * h = 10.5 * 15 = 157.5m^2[/tex]
c. [tex]Area = b * h = 12.5*11=137.5cm^2[/tex]
Question 3:
a. [tex]Area = b * h = 5.7*11.5=65.55in^2[/tex]
b. [tex]Area = b * h = 8 * 12.5 = 100ft^2[/tex]
c. [tex]Area = b * h = 1.7 * 3.6 = 6.12m^2[/tex]
Hope that helps!
Solve the following system of equations:
{−3x+4y=7, 7x−12y=−11
Provide your answer below:
Answers
Parametric Equations
1.
Anytown High School is planning a play. The script calls for two characters to meet on stage.
Lauren starts at the point (0 feet, 6 feet) and travels horizontally at a rate of 1 foot per second.
Alex starts at the point (4 feet, 0 feet) and travels vertically at a rate of 2 feet per second. If
Alex and Lauren start wa lking at the same time, will they meet?
Answers
Although Alex and Lauren will both step into position 4,6, they will not do it at the same time, so they will not meet.
How do Alex and Lauren position will change?Lauren:
Initial position: 0,6Second 1: 1,6Second 2: 2,6Second 3: 3,6Second 4: 4,6Alex:
Initial position: 4,0Second 1: 4,2Second 2: 4,4Second 3: 4,6Second 4: 4,8Do they meet?Both will step in the position 4,6, However, Lauren will be in this positon in the second 4, while Alek will do it on the second 3.
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The length of a rectangle is 10 ft less than three times the width, and the area of the rectangle is 77ft^2 . Find the dimensions of the rectangle.
Answers
Answer:
The dimensions of rectangle are 11 feet and 7 feet.Step-by-step explanation:
Given, The length of a rectangle is 10 ft less than three times the width, and the area of the rectangle is 77 ft²
Let's assume width of rectangle be x feet and Length of rectangle be 3x - 10. Using the formula of area of the rectangle we'll find the dimensions of the Rectangle.
[tex] \\ \dashrightarrow{ \red{\underline{\underline{\sf{Area (rectangle) = Length \times width }}}}} \\ \\ [/tex]
Substituting the required values:
[tex]\dashrightarrow \: \: (3x-10)(x) = 77 \\ [/tex]
[tex]\dashrightarrow \: \: 3x^2 - 10x = 77 \\ [/tex]
[tex]\dashrightarrow \: \: 3x^2 -10x -77 = 0 \\ [/tex]
[tex]\dashrightarrow \: \:3x^2 + 11x -21x -77 = 0 \\ [/tex]
[tex]\dashrightarrow \: \: x(3x+11)-7(3x+11) = 0 \\ [/tex]
[tex]\dashrightarrow \: \: (x-7)(3x+11) = 0 \\ [/tex]
[tex]\dashrightarrow \: \: { \red{\underline{\underline { x = 7 \: or \: \dfrac{-11}{3}}}} } \\ \\ [/tex]
Hence,
Width of rectangle = x = 7 feetLength of rectangle = 3x -10 = 3(7) - 10 = 11 feet[tex] \therefore[/tex] The required dimensions of rectangle are 11 feet and 7 feet.
The dimensions of the given rectangle with an area of 77 ft^2 and given dimensions are; Length = 11 ft and Width = 7 ft
How to find the Area of a rectangle?
Formula for area of a rectangle is;
A = Length * Width
We are given;
Length; L = 3W - 10
Thus;
Area; A = W(3W - 10)
Thus;
W(3W - 10) = 77
3W² - 10W - 77 = 0
Using online quadratic equation calculator, we have;
W = 7
Thus;
L = (3*7) - 10
L = 11 ft
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4 Alfie did a survey to find which soup was most popular.
The choices were:
tomato
c
chicken
mushroom
A quarter of the children chose chicken soup.
Four times as many children chose tomato soup as chose mushroom soup.
Alfie makes a pie chart to show this information.
What angle should he use for the children who chose tomato soup?
Answers
The angle that would be used to show the number of children that chose tomato soup on a pie chart is 200°.
What angle reprsents the children that chose tomato soup?
A pie chart displays data in a circle. The sum of angles in a pie chart is 360 degrees
The first step is to determine the angle that would be used for children that chose chicken soup: 1/4 x 360 = 90
Remaining angle = 360 - 90 = 250 degrees.
Angle that can be used to represent the children that chose tomato soup: 4x + x = 250
5x = 250
x = 50
50 x 4 = 200 degrees
To learn more about pie charts, please check: https://brainly.com/question/26250795
please help me i dont know the answer to this one
Answers
Answer:
centroid (2, 2.666666666...)
circumcenter (2, 1.75)
orthocenter (2, 2.5)
Step-by-step explanation:
the coordinates of the centroid of a triangle are
((x1 + x2 + x3)/3, (y1 + y2 + y3)/3)
so, we have
(-4 + 2 + 8)/3 = 6/3 = 2 = x
(0 + 8 + 0)/3 = 8/3 = y = 2.666666666...
the circumcenter is the crossing point of the lines going perpendicular through the midpoint of each side.
the orthocenter is the crossing point of the lines going perpendicular on each side through the opposing vertices (the heights of the triangle).
so, we need to calculate additionally the slopes of 2 sides and their midpoints before we can get these 2 centers. the third side would only confirm the result but not provide additional information.
A = (-4, 0), B = (2, 8), C = (8, 0)
midpoint D of AC = ((-4 + 8)/2, (0+0)/2) = (2, 0)
the slope of AC is
(y2 - y1)/(x2 - x1) = (0 - 0)/(8 - -4) = 0/12 = 0 (a flat line)
the slope of the perpendicular line is -1/slope of original line. which is -1/0 = -infinity.
but don't worry, that means it is a constant line x = ...
and since it has to go through the midpoint D, the perpendicular line is x = 2
midpoint E of BC = ((2+8)/2, (8+0)/2) = (5, 4)
the slope of BC is
(0-8)/(8-2) = -8/6 = -4/3
so, the slope of the perpendicular line is 3/4.
that line is then y = 3/4 x + b
it has to go through the midpoint E
4 = 3/4 × 5 + b = 15/4 + b
16 = 15 + 4b
4b = 1
b = 1/4
so, the full perpendicular line is
y = 3/4 x + 1/4
crossing both perpendicular lines is simply using the first in the second equation :
y = 3/4 × 2 + 1/4 = 6/4 + 1/4 = 7/4 = 1.75
for the orthocenter we can use the same slopes, but the lines go now through the opposing vertices instead through the side midpoints.
so, line 1 is going through B, which makes it also x = 2.
line 2 is going through A, so
0 = 3/4 × -4 + b
0 = -1 + b
b = 1
line 2 is then
y = 3/4 x + 1
crossing these 2 lines gives us
y = 3/4 × 2 + 1 = 6/4 + 4/4 = 10/4 = 5/2 = 2.5
Which matrix represents the system of equations shown below?
9x + 5y = -16
2x - 10y = - 48
Answers
Answer:
Step-by-step explanation:
The coefficients of x and y in the first equation will be the 2 x 2 matrix first row and the coefficients of x and y in the second equation will be the second row:
[tex]\left[\begin{array}{ccc}9&5\\2&-10\\\end{array}\right]\left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}-16\\-48\\\end{array}\right][/tex]
When you take the inverse of that 2 x 2 matrix and multiply it with the right side matrix (-16 -48), you can find the solution for x and y.
Sum of the inteor anglrs of triangle #3
Answers
Answer:
I dont see any triangle but the sum of the interior angles of every triangle is 180
Step-by-step explanation:
<+<+<=180˚
Someone help. I do not understand.
Answers
Step-by-step explanation:
SinP = sin30° = 1/2
sinQ = sin60° = root3/2
cosR = cos90° = 0
cosQ = cos60° = 1/2
sinR = sin90° = 1
Find b given to that a= 20 angle a= 30 degrees and angle b = 45 degrees in triangle abc
Answers
Answer:
Step-by-step explanation:
pls help I know its ez for you but it's not for me
Answers
Answer:
61,45627,13541,52617,04532,14478,104________________________________________________________
How to solveMultiply all numbers by the multiplier, the smaller number, and then use any extra digits you carry, bringing you to the ten thousands place.
________________________________________________________
Questions or extra enrichment on this subject?Ask me in the comments box, I can help.
the approximate z-score that corresponds to a right tail area of 0.29 is?
Answers
Answer:
0.55
Step-by-step explanation:
In this question we need to find the Z score says that the area under the standard normal curve to the right is 0.29. So here in this question I have drawn here the normal distribution curve. So at this point we need to calculate the z value And with the probability of 29%. So to find the value of Z says that probability of zero great Small, that is equal to 0.29. So I can write this left hand side as one minus probability of less than small. It's called a 0.29 probability of zero, less than or equal to zero will do 0.29 one minus .29 which is equal to 0.71. So here we know the value of probability And we need to find the value of zero and there are various methods to calculate that one is the using the normal distribution tables and then there is the um MS Excel should. So from the table you can find the area closest to 0.71. So here the flow chart for finding me value. Using normal distribution table is given. So the first thing is from this table of the standard normal distribution, look at the probability value. So as you can see from this this is the snapshot of the table we need to find the probability value. So We have got the value of 0.71. So this is the nearest value to that you need to, next second is move left until the first column is reached. So move left until the first column is rich. This is the first column. Move upward until the top row is rich. Note that value. So here as you can see it is 0.5 and here it is 0.05. The intersection of the Roman columns gives the area of the two day loves. So which is 0.5 Plus 0.05 is equal to zero 55. This is the value of Z. Or as you can use the um xxl shoot to calculate the value of Z. Here, I have given the flow chart for that. Also you can use this to calculate the value of Z. So probability of mhm Less than or equal to 0.55 Is equal to 0.71. This is the answer. 0.55 is the answer for the solution.
What is the value of x?
-5x = 60
Answers
Answer:
x = -12
Step-by-step explanation:
⇒ -5x = 60
Isolate the variable "x" by dividing by -5 on each side.
⇒ -5x/-5 = 60/-5
⇒ x = -12
The solution is x = -12
[tex]\boxed{ \sf \bold{x = -12}}[/tex]
Explanation:
[tex]\dashrightarrow \ \ \sf -5x = 60[/tex]
divide both sides by -5
[tex]\dashrightarrow \ \ \sf \dfrac{-5x}{-5} = \dfrac{60}{-5}[/tex]
simplify
[tex]\dashrightarrow \ \ \sf x = -12[/tex]
Determine the solution(s) of the equation x^2 = 36
Answers
In order to solve this equation, we need to take the square root of both sides (in order to get rid of the square and isolate x, because we are asked to determine the value(s) of x)
x²=36
√x²=√36
x=6
Is this the only solution?
A negative times a negative is a positive...
-6 is another solution of this equation! :)
Hence, the answers are:-
[tex]\boxed{\boxed{\bold{x=6; ~x=-6}}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Hello! My name's Cupcake, And I will be helping you today! :D
In order to solve this equation, we need to take the square root of both sides.
Why? Because we need to isolate x. Our goal is:- To find the value of x.
So in order to get rid of the square and find the value of x, we take the square root of both sides:-
x^2=36
x=6, x=-6 (solutions)
Hope it helps!
Any queries - comment !
You walk 3/8 miles to a grocery store.Then you walk another 1/3 miles to a music store.How many miles have you walked in all
Answers
Answer:
At this point, you have walked 17/24 miles in all.
Hope this helps
T-Mobile has a family plan of four lines for $120 and additional lines are $10 each per month. If Jason wants to spend at most $175 per month on a cell phone expenses, what is the correct inequality that represents the amount of additional lines he can afford?
Answers
Answer:
Jason can afford 5 more additional lines, making 9 lines total because
175-120=55
55/10=5.5 so He can not afford more than 5 more additional lines.
Step-by-step explanation:
What is the value of 7 – 18(-2 1/3+ 2/3)
Answers
Answer:
The answer is 37.
Step-by-step explanation:
First of all we use Pemdas. Add the parantheses first. So its 7-18(-5/3) then you multiple the -18 to 5/3 Because after Parantheses its Exponents multiplication. So it becomes 30. Then you add 7 to get 37. I hope this is helpful.
A random sample of 1400 home owners in a particular city found 644 home owners who had a swimming pool in their backyard. Find a 95% confidence interval for the true percent of home owners in this city who have a swimming pool in their backyard
