The graph of a rational function is shown below. Write the
equation that represents this function.
Answers
As a result, the equation that describes the displayed graph is: f(x) = (x - 1) / (x + 2) - 2.
what is equation ?A mathematical statement stating the parity of two expressions is known as an equation. In order to denote that the formulas along both side of an equal sign (=) have the same value, equations are often expressed using this symbol. A range of mathematical operations, including addition, reduction, multiplication, division, and exponents, can be used in equations. Equations can also assume many different shapes.
given
We may utilise the data from the horizontal and vertical asymptotes to determine the values of a and q.
The degree of the denominator polynomial, which is 1, must be the same as the degree of the numerator polynomial since the horizontal asymptote occurs at y = 1. (which is also 1). As a result, q and an are equal to 1.
By entering these values, we obtain:
f(x) = (x - 1) / (x + 2) - 2
As a result, the equation that describes the displayed graph is: f(x) = (x - 1) / (x + 2) - 2.
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Related Questions
Describe the graph of the function. y = 9x2 + 18x – 6
The graph is a parabola with axis of symmetry at x = –1.
The graph is a parabola with axis of symmetry at x = 6.
The graph is a parabola with axis of symmetry at x = 1.
The graph is a parabola with axis of symmetry at x = 9.
Answers
Answer: y = 9x2 + 18x – 6
Step-by-step explanation:Describe the graph of the function. y = 9x2 + 18x – 6
The graph is a parabola with axis of symmetry at x = –1.
The graph is a parabola with axis of symmetry at x = 6.
The graph is a parabola with axis of symmetry at x = 1.
The graph is a parabola with axis of symmetry at x = 9.
If AABC= AMNO, then what corresponding angle is congruent to angle N?
Answers
Answer:
.aabc=amn0#1211
Step-by-step explanation:
nosascoOsasco n=12.8
Does anyone know these?
Answers
Answer:
1 = - 4 - 14 √3
2 = 9 - 11 √3
Step-by-step explanation:
Question 1
(-4√3 + 2)(√3 + 4)
Apply FOIL method
= (-4√3) √3 + (-4√3) . 4 + 2 √3 + 2 . 4
Apply minus-plus rules: + (-a) = -a
= -4 √3 √3 - 4 . 4 √3 + 2 √3 + 2 . 4
Simplify
= - 4 - 14 √3
Question 2
(-3 + √3)(1 + 4 √3)
Apply FOIL method
= (-3) . 1 + (-3) . 4 √3 + √3 . 1 + √3 . 4 √3
Apply minus-plus rules: + (-a) = -a
= -3 . 1 - 3 . 4 √3 + 1 . √3 + 4 √3 √3
Simplify
= 9 - 11 √3
Which equation can be used to determine the distance between the origin and (–2, –4)? d = StartRoot ((0 minus 2) + (0 minus 4)) squared EndRoot d = StartRoot (0 minus (negative 2)) squared + (0 minus (negative 4)) squared EndRoot d = StartRoot ((0 minus 2) minus (0 minus 4)) squared EndRoot d = StartRoot (0 minus (negative 2)) squared minus (0 minus (negative 4)) squared EndRoot
Answers
Answer:person up top is right it’s B
Step-by-step explanation: on edg 2020
Answer:
The answer is B
Step-by-step explanation:
lol yw guys
There are 738 students going on a school field trip. Each bus can carry 33 students. How many buses should the school reserve?
Answers
Answer:
23 buses
Step-by-step explanation:
It comes to 22.3636364 so you need to round up.
In the system of equations shown, j and k are constants. The graphs of the
equations intersect at point P.
y = 8x + j
y=-12x + k
The x-coordinate of point P is 2. Which of the following expressions are equal to
the y-coordinate of point P?
A-24 + k
B 4+j
D 40-j
E-6+k
C K-40
F 16+j
Answers
Answer: C and E
Step-by-step explanation:
Find the surface area of a cylinder pls
Answers
The total surface area of the cylinder is 157 square feet.
Given the radius of the cylinder = 4 inches
height of the cylinder = 9 inches
Total surface area is calculated by the formula:
A = 2πr² + 2πh
A = 2 × 3.14 × 4² + 2 × 3.14 × 9
or, A = 157 square feet.
Therefore the total surface area of the cylinder is 157 square feet.
The surface area of a solid item is a measurement of the total volume that the surface of the thing occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more complicated than the definition of arc length for one-dimensional curves.
The definition of surface area for polyhedral (i.e., particles with flat polygonal faces), where the surface area is equal to the sum of the areas of its faces. When smooth surfaces, like spheres, are represented as parametric surfaces, their surface area can be calculated.
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If today there are 8 people in a class of 17 people ,what is the probability of attendance for tomorrow if the same students don't show up for class? Convert the fraction to a decimal. Round to three places.
Answers
If today there are 8 people in a class of 17 people
Total number of people = 17
Number of student present = 8
Number of student absent (17 - 8)= 9
tomorrow if the same students don't show up for class, number of students absent = 9
Probability of the attendance = Number of student present/ Total number of studnets
Probability of attendance = 8/17
Convert the fraction 8/17 into decimal
8/17 = 0.470
Probability of attendance is 0.470
Let register x5 hold the hex number 01a74cd0hex and let x6 hold the hex number 00467b44 hex. If this information is enough, then answer the following three questions, else explain what extra information you may need to proceed.a) (1.5 pts) What are the contents of register x31 after the following instruction is executed? addi x31, x5, 32
b) (1.5pts) What would be the contents of register x28 after the following instruction is executed? add x28, x5, x6
c) (1.5 pts) What would be the contents of register x29 after the following instruction is executed? ld x29, 1056decimal (x30)
d) (1.5 pts) What would be the contents of register x29 after the following instruction is executed? sd x28, 16 decimal (x29)
Answers
a) The contents of register x31 after the following instruction is executed? addi x31, x5, 32 is 277968880 decimal.
b) The contents of register x28 after the following instruction is executed is 278427652 decimal.
c)The contents of register x29 after the following instruction is executed is 1056 decimal
d) The contents of register x29 after the following instruction is executed is 278427652 decimal
In computer architecture, registers are special storage locations within the CPU that hold data temporarily. These registers can hold values in binary, decimal, or hexadecimal formats. In this scenario, we have two registers x5 and x6, holding hexadecimal values. We will use these values to answer the given questions about register manipulation.
a) To determine the contents of register x31 after the instruction "addi x31, x5, 32", we need to add 32 to the value in x5 and store the result in x31. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 in decimal. Adding 32 to this value, we get 277968880 decimal. Therefore, the contents of register x31 after the instruction is executed would be 277968880 decimal.
b) To determine the contents of register x28 after the instruction "add x28, x5, x6", we need to add the values in x5 and x6 and store the result in x28. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 decimal. The value in x6 is 00467b44hex, which is equivalent to 458804 decimal. Adding these two values, we get 278427652 decimal. Therefore, the contents of register x28 after the instruction is executed would be 278427652 decimal.
c) To determine the contents of register x29 after the instruction "ld x29, 1056decimal (x30)", we need to load the value at memory location 1056decimal + the value in register x30 into register x29. The value in register x30 is not given in this scenario, so we cannot determine the contents of register x29.
d) To determine the contents of register x29 after the instruction "sd x28, 16 decimal (x29)", we need to store the value in register x28 at memory location 16 decimal + the value in register x29. The contents of register x28 is 278427652 decimal
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Pwease help this is very important I will give you brain thing if its correct ♡
Answers
Answer:
1. x-8
2. I dont know sorry
Step-by-step explanation:
Answer:
1. 8 - x
The answer is 8 - x because the plant is 8 inches tall total this week, and to get how many it grew you would subtract it's height last week from 8.
2. The other expression, x - 8, could show how much a plant wilted, if it did. If the height went down, subtracting 8 from x could show how much the plant wilted.
Step-by-step explanation:
:-) hope this helps!
Hunter measured the middle school and made a scale drawing. The scale he used was 1 inch : 10 feet. The gym is 7 inches wide in the drawing. How wide is the actual gym?
Answers
Answer:
70 ft
Step-by-step explanation:
You want the actual width of a gym that is represented as 7 inches on a drawing with a scale of 1 in : 10 ft.
Scale factorEach inch represents 10 feet, so 7 inches will represent ...
7 × 10 ft = 70 ft
The gym is 70 ft wide.
__
Additional comment
You can also write and solve an equation that shows the measures are proportional:
actual width / drawing width = (10 ft) / (1 in) = (gym width) / (7 in)
Multiplying both sides of this proportion by 7 in, we have ...
gym width = (7 in) × (10 ft)/(1 in) = 7 × 10 ft = 70 ft
let f (x) =- 3x and g (x) = 2x - 1 Find the following f (x) + g (x) Pleas show steps
Answers
Answer:
See below.
Step-by-step explanation:
So we have the two functions:
\(f(x)=-3x\text{ and } g(x)=2x-1\)
And we want to find f(x) + g(x).
So, substitute:
\(f(x)+g(x)\\=(-3x)+(2x-1)\)
Combine like terms:
\(=(-3x+2x)+(-1)\)
Simplify:
\(=-x-1\)
So:
\(f(x)+g(x)=-x-1\)
The Lucas sequence is like the Fibonacci sequence except that the starting numbers are 2 and 1 instead of 1 and 0. What are the first ten terms of the Lucas sequence?
Answers
The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.
What is Lucas sequence?The Lucas sequence or Lucas series are an integer sequence named after the mathematician francois Edouard Lucas, which are similar to the Fibonacci numbers, each Lucas number is defined to be the sum of its two immediate previous terms, thereby forming a fibonacci integer sequence.
Now, the sequence of first 10 numbers of Fibonacci series are-
0, 1, 1 ,2, 3, 5, 8, 13, 21, 34
which are defined as set of integers that starts with zero, followed by a one,then by another one and then by series of steadily increasing numbers,The sequence follow the rule that each number is equal to the sum of preceding two numbers.
And the sequence of Lucas sequence is -
2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.
which is definedas the sum of its two immediate previous terms.
The Lucas number may thus be defined as follows;
Ln = \(\left \{ {{2} ; if n= 0 \atop {1}; if n = 1} \right.\)
Here we can see that Lucas series starts with 2 and 1 whereas Fibonacci series starts with 0 and 1.
Hence,The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.
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if you are going 55 miles per hour how long will it be til you go 70 miles
Answers
Answer
time = 60 miles / (55 miles/hour) = (60/55) (miles/(miles/hour)) = 1.09 hour
Step-by-step explanation:
Speed = distance / time
A bit of algebra will get you the formula
time = distance/speed
Answer:
15sec if its a lamboghihi
Step-by-step explanation:
A least squares regression line was calculated to relate the length (cm) of newborn boys to their weight in kg. The line is . A newborn was cm long and weighed kg. According to the regression model, what was his residual? What does that say about him?
Answers
The Residual is 0.944 kg.
What is Residual ?The discrepancy between a response variable's observed value and its expected value as predicted by the regression line.
Given:
Residual is typically defined as actuals minus predicted.
The prediction is calculated from
W = −6.07 + 0.1693L
W = −6.07 + 0.1693(48)
W = 2.0564 kg
And, The actual was 3 kg
So, the residual
= 3 - 2.0564
= 0.9436
= 0.944 kg
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the equation x^2=9 has two solutions: 3 and -3. with that in mind, what is the other solution to the equation 17=0.018268 (v,0),2)
Answers
ANSWER
31 and -31
EXPLANATION
Both equations are solved by taking the square root of a value. Square roots always have two results: one positive and one negative.
In this case, the two results of the equation are,
\(V_o=\pm\sqrt[]{\frac{17}{0.018268}}=\pm30.505557\approx\pm31\)Hence, the two results are 31 and -31, rounded to the nearest whole.
Factor the algebraic expression.
240q- 760u + 104i- 52b - 36i
Answers
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Consider the division expression 7 1/2÷ 2. Select all multiplication questions that correspond to this division expression.
A. 2 x ? = 7 1/2
B. 7 1/2 x ? = 2
C. 2 x 7 1/2 = ?
D. ? x 7 1/2 = 2
E. ? x 2 = 7 1/2
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Answers
Step-by-step explanation:
7 \(\frac{1}{2}\) ÷ 2
A. 2 × ? = 7\(\frac{1}{2}\)
Divide 2 on both sides to bring all the constants on one side...
? = 7 1/2 ÷ 2
B. 7 1/2 x ? = 2
Divide 7 1/2 on both sides to isolate the ?
? = 2 ÷ 7 1/2
C. 2 x 7 1/2
You already know that the initial problem is asking for an answer that is half of 7 1/2 not twice 7 1/2
D. ? x 7 1/2 = 2
Divide 7 1/2 on both sides
? = 2÷ 7 1/2
E. It's basically the same thing as A
Whatever is bolded is the answer
I hope this made sense and I hope this helps!!!
Solve the equation
X+2=10-x
Answers
Answer: \(x=4\)
Step-by-step explanation:
\(x+2=10-x\)
\(x+2-2=10-x-2\)
\(x=-x+8\)\(x+x=-x+8+x\)
\(2x=8\)
\(\frac{2x}{2}=\frac{8}{2}\)
\(x=4\)
write the equation of the line in fully simplified slope-intercept form. (6, 10) (4,5) (-2,-10)
Answers
Answer: the equation will be y = 5/2x -5
Step-by-step explanation:
First find the slope of the line by finding the change in the y coordinates and diving it by the change in the x coordinates.
(6,10)
(4,5)
5 - 10 = -5
4 - 6 = -2
Slope: 5/2
(4,5)
(-2,-10)
-10 - 5 = - 15
-2-4= - 6
-15/-6 = 5/2
Now we know the slope is 2, so use the formula y=mx + b to solve for the y intercept which is b by using one of the given points.
y = mx + b
5 = 5/2(4) + b
5 = 10 + b
b = -5
Determine if the ordered pair (-4,3) is a solution of
4x - y = -13
Show ALL your work here
Answers
Answer:
This is NOT a solution
Step-by-step explanation:
If we plug in the coordinates (-4,3) into 4x-y our new equation is 4×-4-3 and if we solve this equation.... 4×-4=-16 and -16-3=-19 which does NOT equal to -13
A new computer graphics company employs 10 programmers. The company decides to expand into digital animation and needs to transfer 3 of the programmers into the new department. How many different combinations of 3 programmers can be chosen to transfer to the new department?
A. 3
B. 30
C. 120
D. 840
Answers
There are 120 different combinations of 3 programmers that can be chosen to transfer to the new department
How to determine the ways of selection?From the question, we have
Total number of programmers, n = 10
Numbers to programmers to select, r = 3
The number of ways of selection could be drawn is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 10 and r = 3
Substitute the known values in the above equation
Total = ¹⁰C₃
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 10!/(7! * 3!)
Evaluate
Total = 120
Hence, the number of ways is 120
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Using the diagram, which fraction is equivalent to 1?
Answers
Answer:
5/5
Step-by-step explanation:
At the movie theatre, child admission is $5.20 and adult admission is $8.40. On Wednesday, 154 tickets were sold for a total sales of $1069.60. How many adult tickets were sold that day?
Answers
Answer:
127
Step-by-step explanation:
1069.60 divided by 8.40 equals 127.
Determine the number of triangles that could be formed with the given measurements:Angle a= 50°, a = 17cm, b = 15cm
Answers
GIVEN:
We are given the following dimensions for a triangle ABC;
\(\angle A=50\degree,a=17cm,b=15cm\)Required;
To determine the number of triangles that could be formed with the given measurements.
Step-by-step solution;
We will begin by identifying the measure of the unknown angle, which is angle B.
We shall apply the sine rule as follows;
\(\begin{gathered} \frac{a}{sinA}=\frac{b}{sinB} \\ \\ \frac{17}{sin50\degree}=\frac{15}{sinB} \\ \\ Cross\text{ }multiply; \\ \\ sinB=\frac{15}{17}\times sin50\degree \\ \\ sinB=0.675921567458 \end{gathered}\)We now take the arc sin of the value of sine B and we'll have the degree measure as follows;
\(\begin{gathered} sin^{-1}(0.675921567458)=42.5257561588 \\ \\ Rounded\text{ }to\text{ }the\text{ }nearest\text{ }tenth; \\ \\ B=42.5\degree \end{gathered}\)With these two angles, we can now determine angle C as follows;
\(\begin{gathered} A+B+C=180\degree\text{ }(sum\text{ }of\text{ }angles\text{ }in\text{ }a\text{ }triangle) \\ \\ 50+42.5+C=180 \\ \\ 92.5+C=180 \\ \\ C=180-92.5 \\ \\ C=87.5\degree \end{gathered}\)With this we can now determine the length of side c as follows;
\(\begin{gathered} \frac{a}{sinA}=\frac{c}{sinC} \\ \\ \frac{17}{sin50}=\frac{c}{sin87.5} \\ \\ Cross\text{ }multiply; \\ \\ \frac{17\times sin87.5}{sin50}=c \\ \\ 22.1708021244=c \\ \\ c\approx22.2\text{ }(Rounded\text{ }to\text{ }the\text{ }nearest\text{ }tenth) \end{gathered}\)We now have the dimensions of the sides and angles as follows;
\(\begin{gathered} \angle A=50\degree,\angle B=42.5\degree,\angle C=87.5\degree \\ \\ a=50,b=15,c=22.2 \end{gathered}\)Therefore,
ANSWER:
We cannot form any triangle from the given measurements.
This is because for any given triangle, the sum of two sides must be greater than the third side.
Observe the following;
\(\begin{gathered} a+b>c \\ \\ a+c>b \\ \\ However; \\ \\ b+c\text{ }is\text{ }not\text{ }greater\text{ }than\text{ }a \end{gathered}\)On the past two quizzes, a student scored a 75 and 83. Write and solve a compound inequality to find the possible values for the 3rd quiz score that would give her an average between 85 and 90, inclusive.
Answers
The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.
How to determine the average?In Mathematics, the average of these quiz scores can be calculated by using the following formula:
Average = Sum of quiz score/Number of quiz scores
Note: Let the variable q represent the student's score on the third (3rd) quiz.
Substituting the given parameters into the formula, we have the following;
Average = (75 + 83 + q)/3
Average = (158 + q)/3
This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:
85 ≤ (158 + q)/3 ≤ 90
Multiplying all through by 3, we have the following:
255 ≤ (158 + q) ≤ 270
Subtracting 158 from both sides of the inequality, we have the following:
97 ≤ x ≤ 112
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Let M = 925,474.85732. Find the smallest power of 10 that will exceed M.
Answers
3х + 5x
Pls help (sorry if this question got deleted)
Answers
Answer:
8x
Step-by-step explanation:
3x+5x=8x
3+5=8
x is the same variable.
I have to use sin, cos, and tan on this problem and I'm stumped.
Answers
Answer: ahhh boohoo. Where’s the photo
Step-by-step explanation:
Ba
a recycling center pays $0.10 for each bottle. It accepts at most 50 bottles from one costomer each day.
Answers
Answer:
you can earn up to $5 a day
Step-by-step explanation:
50 X .10 is 5
:))