Answers
Answer:
y=4/3x-3
Step-by-step explanation:
By using rise/run, you can see the slope in the equation, as it goes 4 units up and 3 units to the right.
For the y-intercept, you can see that the line intercepts (0,-3), which makes it the y-intercept.
Answer: y=-3+4/3x
Step-by-step explanation:
You get -3 because that is the point on the y axis
You get 4/3x from rise every additional point after
-------
run
Related Questions
Part 1 A projectile is launched from ground level with an initial velocity of v0 feet per second. Neglecting air resistance, its height in feet t seconds after launch is given by s=−16t2+v0t. Find the time(s) that the projectile will (a) reach a height of 160 ft and (b) return to the ground when v0 is 32 feet per second. Question content area bottom Part 1 (a) Find the time(s) that the projectile will reach a height of 160 ft when v0=32 feet per second. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Answers
a) The projectile cannot reach a height of 160 feet under given conditions.
b) The projectile takes a time of 2 second to hit the ground.
How to analyze the height of a projectile in time
In this question we find the case of a project under free fall, that is, a vertical uniformly accelerated motion due to action of gravity, whose formula is shown below:
s = - 16 · t² + v₀ · t
Where:
t - Time, in secondsv₀ - Initial speed, in feet per second.Part A - If we know that v₀ = 32 ft / s and s = 160 ft, then the time associated is:
- 16 · t² + v₀ · t - s = 0
- 16 · t² + 32 · t - 160 = 0
By quadratic formula:
t₁ = 1 + i 3, t₂ = 1 - i 3
It is physically impossible to reach a height of 160 feet under conditions given.
Part B - If we know that s = 0 ft and v = 32 ft / s, then the final time is:
- 16 · t² + v₀ · t - s = 0
- 16 · t² + 32 · t = 0
- 16 · t · (t - 2) = 0
The final time for the projectile is 2 seconds.
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what is the position of (L) with respect to (c)
Answers
By the method of logical reasoning and the seating positions of seven people it is obtained that F sits third to the left of C.
What is logical reasoning?
The technique of applying systematic, logical steps based on mathematical logic to solve a problem is known as logical reasoning. Based on the information provided and mathematical principles, inferences can be drawn.
This seating positing problem can be solved by logical reasoning.
There are seven people - A, B, C, D, E, F, G.
Firstly, A sits third from one of the extreme ends.
Then two people sit between A and B.
The positions can be -
__ __ A __ __ B __ or __ B __ __ A __ __
Now, F sits fourth to the left of B.
So, second seating position gets eliminated.
Also, C sits at the immediate left of B.
__ F A __ C B __
Now, G sits third to the right of E.
E does not sit at any of the extreme ends.
D F A E C B G
So, the seating arrangement is obtained.
Therefore, F sits third to the left of C.
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Seven people named A, B, C, D, E, F, and G are sitting in a row facing north but not necessarily in the same order. A sits third from one of the extreme ends. Two people sit between A and B. C sits at the immediate left of B. F sits fourth to the left of B. G sits third to the right of E. E does not sit any of the extreme ends.
What is the position of F with respect to C?
g suppose that w(t) is a real-valued signal. prove that its fourier transform magnitude is symmetric around f
Answers
Since the Fourier transform of a real value signal is the product of the even cosine transform and the odd sine transform, it is conjugate symmetric and consequently symmetric about the frequency 0.
A real-valued signal's Fourier transform is a conjugate symmetric function, which means it is symmetric about frequency 0. This is demonstrated by the fact that a real-valued signal's Fourier transform may be expressed as the product of its cosine and sine transforms:
F(w) = Fc(w) plus Fs (w)
Where the cosine and sine transforms, respectively, are denoted by Fc(w) and Fs(w). Both the sine and cosine transforms are symmetric about the frequency zero because the sine transform is an odd function and the cosine is an even function. As a result, a real-valued signal's Fourier transform also exhibits symmetry near frequency 0.
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The complete question is
g suppose that w(t) is a real-valued signal. prove that its fourier transform magnitude is symmetric around frequency 0.
Given the information below, match the step with the reason it can be stated.
Answers
Answer:
1. e its given
2. d
3. b
4. c
5. a
this all are proved by the theorem
tom and jerry have one day to work, but two tasks to focus on: building chairs and tables. if tom spends all day building chairs, he will make 16 chairs. if he instead devotes his day to building tables, tom will make 4 tables. if jerry spends his day building chairs, he will make 14 chairs; if he spends the day building tables, he will make 7 tables. based on their production possibilities frontiers, tom and jerry:
Answers
As per the unitary method, there are 10 chairs and there are 2 tables.
In math the term called unitary method is known as a process of finding the value of a single unit, and based on this value we can find the value of the required number of units.
Here we have given that tom and jerry have one day to work, but two tasks to focus on building chairs and tables.
Here we also know that if tom spends all day building chairs, then he will make 16 chairs.
And if he instead devotes his day to building tables, then tom will make 4 tables.
Where as if jerry spends his day building chairs, then he will make 14 chairs on the other hand if he spends the day building tables, then he will make 7 tables.
Based on the given details, here by using the unitary method, for one day, he will product 10 chairs and 2 tables.
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Given the following table with selected values of f (x) and g(x), evaluate f (g(1)).
x –6 –4 1 3 4
f (x) 4 –1 –6 1 3
g(x) 1 4 3 –4 –6
Answers
Check the picture below.
Maria will spend less than $29 on gifts. So far, she has spent $17. What are the possible additional amounts she will spend?
Use c for the additional amount (in dollars) Maria will spend.
Write your answer as an inequality solved for c.
Answers
Answer:
Maria is able to spend less than $12.
C < 12
Step-by-step explanation:
If Maria has already spent 17 dollars, that means she has 12 dollars left. C cannot be greater than 12. It has to be less.
So think of this C < $12
So if we do the total on one side and the $17 and C on the other side of inequality we get
C + 17 < 29
It cannot be equal to 29 so that's why we don't use a less than or equal to symbol.
Simplify this to get C < 12
I hope this is able to help you :D
3. In a picture of a woman sweeping with a broom, her broom measures 2cm long. In reality, it is 1m long. In the same picture, a wall measures 5cm in height. In reality, how tall is the wall?
Answers
Ryan claims that the cost of Plan A and Plan B differ a lot.
Which statement best explains why Ryan was misled by the graph?
a.) The two graphs use different vertical scales.
b.) The scale of intervals on the horizontal axis of both graphs
is inconsistent.
c.) The graph of Plan B shows a rapid increase in price.
E
d.) The graph of Plan A shows a gradual increase in price.
Answers
IfIf Ryan claims that the cost of Plan A and Plan B differ a lot. The statement that best explains why Ryan was misled by the graph is: b.) The scale of intervals on the horizontal axis of both graphs is inconsistent.
The reason Ryan was misled by the graph?Based on the graph we can see that the graph is inconsistent based on the fact that the scale of intervals on the horizontal axis of Plan A graph and Plan B graph are inconsistent.
The reasons why the both graphs are inconsistent was because the lines did not intersect or are not on the same line which means that they are parallel lines.
Therefore the correct option is B.
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Answer:
Step-by-step explanation:
The two graphs use different vertical scales.
Question 6.
Jim is studying growth of underwater plants in an aquarium. He notices the limiting factor on the plants is availability of light. Jim places the aquarium in a place where it will get more sunlight.
What will happen to the underwater plants?
Responses
Existing plants will grow larger and new plants will grow.Existing plants will grow larger and new plants will grow.
Existing plants will become smaller, but new plants will grow.Existing plants will become smaller, but new plants will grow.
Existing plants will become smaller and no new plants will grow.Existing plants will become smaller and no new plants will grow.
Existing plants will grow larger, but no new plants will grow.Existing plants will grow larger, but no new plants will grow.
question 7
A population of chipmunks that live in the woods near a town has learned to raid trash cans. The population of chipmunks is increasing rapidly.
The city replaces the existing trash cans with new, “chipmunk-proof” trash cans.
What most likely will happen to the population of chipmunks in the short term and long term?
Responses
The population will not change in the short term. In the long term, the population will increase dramatically.The population will not change in the short term. In the long term, the population will increase dramatically.
The population will not change in the short or long term. The chipmunks will switch to other food sources.The population will not change in the short or long term. The chipmunks will switch to other food sources.
The population will drop in the short term. In the long term, the population will stabilize as chipmunks switch to other food sources.The population will drop in the short term. In the long term, the population will stabilize as chipmunks switch to other food sources.
The chipmunks do not have other food sources. The populationwill drop in both the short and long term.
Answers
Step-by-step explanation: When a plant gets more sunlight it will grow very fast and get larger then it will grow some more
Write a word problemthat could’ve solved by one of the problem
Answers
The required word problem of expression 2(5+w)=42, can be given as twice the sum of a number, and 5 is 42,
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
The question seems to be incomplete, from sources complete expression is given as 2(5+w)=42,
So word problem of expression 2(5+w)=42 can be given as,
Twice the sum of a number and 5 is 42, when we sum a number with 5 and doubled that number gives 42 as a product.
Thus, the required word problem of expression 2(5+w)=42, can be given as twice the sum of a number, and 5 is 42,
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Which calculation shows the best method for estimating the result of 384 divided by three-sixteenths?
400 divided by one-fourth equals 1,600
400 divided by one-fourth equals 100
300 divided by one-third equals 900
300 divided by one-third equals 100
Answers
Answer:
Step-by-step explanation:
Help asap please thank thank you
Answers
The volume of the toy is 35cm^3. The solution has been obtained using the formula of triangular pyramid.
What is a triangular pyramid?
A triangular pyramid has a triangle-shaped base, and its apex is where the three triangular faces converge. There is a unique type of triangular pyramid called a tetrahedron, which features equilateral triangles on each face. The formula for a triangular pyramid consists of the volume and surface area of the pyramid, which are used to determine the height and slant height as well as the three triangular-shaped sides.
In the given figure, x represents the base(b), y represents the base height(h) and z represents the height(H).
Let's first find the pyramid's base area(B) which is given by;
⇒B = 1/2 * b * h
⇒B = 1/2 * 3 * 7
⇒B = 10.5cm^2
The volume of the toy is given by:
⇒V = 1/3 * B * H
⇒V = 1/3 * 10.5 * 10
⇒V = 35cm^3
Hence, the volume of the toy is 35cm^3.
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Is the federal reserve making nickel’s with a constant of proportionality? If so what is it?
Answers
What is ratio?
A ratio is a way of comparing two or more values or quantities. It expresses the relationship between the size of one value or quantity to the size of another. Ratios are often written as fractions or as ":".
The Federal Reserve is making nickels with a constant of proportionality. This can be determined by analyzing the relationship between the amount of nickels made and the time elapsed. If the number of nickels made is directly proportional to the time elapsed, then the ratio between the number of nickels made and the time elapsed will be constant.
As we can see from the table, the ratio between the number of nickels made and the time elapsed is constant, which is 6000 nickels per hour. This means that the Federal Reserve is making nickels with a constant of proportionality.
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The Federal Reserve is making nickels with a constant of proportionality.
What is ratio?
A ratio is a way of comparing two or more values or quantities. It expresses the relationship between the size of one value or quantity to the size of another. Ratios are often written as fractions or as ":".
The Federal Reserve is making nickels with a constant of proportionality. This can be determined by analyzing the relationship between the amount of nickels made and the time elapsed. If the number of nickels made is directly proportional to the time elapsed, then the ratio between the number of nickels made and the time elapsed will be constant.
As we can see from the table, the ratio between the number of nickels made and the time elapsed is constant, which is 6000 nickels per hour. This means that the Federal Reserve is making nickels with a constant of proportionality.
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for each of the indefinite integrals below, choose which of the following substitutions would be most helpful in evaluating the integral. enter the appropriate letter (a,b, or c) in each blank. do not evaluate the integrals. A. x= 6 tan θ B. x= 6 sin θ C. x= 6 sec θ 1. Integral (x^2 - 36)^5/2 dx 2. Integral (x^2 dx/ (root 36+x^2) 3. Integral (dx/ (root 36+x^2)^3 4. Integral (root x^2+36) dx 5. Integral x^2 (root 36+x^2)
Answers
We can use the integral x=4secθ for each of the indefinite integrals below.
In the given question we can use either 4tanθ,4sinθ or 4secθ to substitute and simplify the given indefinite integrals,
the 1st integral is,
∫ √(x²-16) dx
we can use the trigonometric substitution x=4secθ in this integral, due to which after simplification it will become as,
∫16 secθtan²θ dθ
which then can easily be solved.
the 2nd integral is,
∫ x²/√(x²-16) dx
we can use the trigonometric substitution x=4sinθ in this integral, due to which after simplification it will become as,
∫16 sin²θ dθ
which then can be solved by using a reduction formula.
the 3rd integral is,
∫ dx /(16+x²)³
we can use the trigonometric substitution x=4tanθ in this integral, due to which after simplification it will become as,
∫(1/16⁴) cos⁴θ dθ
the 4th integral is,
∫ (x²-16)^(5/2)dx
we can use the trigonometric substitution x=4secθ in this integral, due to which after simplification it will become as,
∫4096 secθtan⁶θ dθ
the 5th integral is,
∫ dx /(16-x²)^(3/2)
we can use the trigonometric substitution x=4sinθ in this integral, due to which after simplification it will become as,
∫(1/16² cos²θ) dθ
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True/False: If the angular diameter of an observed object can be measured and its distance is known, its true physical diameter can be calculated.
Answers
If the angular diameter of an observed object can be measured and its distance is known, its true physical diameter can be calculated, and the given statement is TRUE.
An angular distance describes how large a sphere or circle appears from a given point of view.
The angular diameter is calculated as:
Angular Diameter=206265X(Actual diameter/Distance)
The angular diameter of an object is the angle the object makes as seen by an observer. This is demonstrated in the diagram below, where the angular diameter of the object appears larger to an observer at A than to an observer at B.
Angular diameter can also refer to the distances between two objects, measured on the celestial sphere.
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Reason Hugo walksmile from his home to the library on
Monday. He walks mile from his home to the park on Tuesday.
• How much farther does he walk on Monday than on Tuesday?
• Is your answer reasonable? Explain.
Answers
The distance travelled on Monday is 1/2 mile more than the distance travelled on Tuesday. Yes, the answer is reasonable, the difference between the two numbers indicates the remaining distance.
What are fractions?In mathematics, a fraction is used to denote a portion or component of the total. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction.
Given that the distance travelled on Monday is 5/6 miles, and the distance travelled on Tuesday is 1/3 miles.
To find how much more distance is covered on Monday:
x= 5/6 - 1/3
x= 5/6 - 2/6
x= 3/6
x= 1/2
Hence, the distance travelled on Monday is 1/2 mile more than the distance travelled on Tuesday.
Yes, the answer is reasonable because the difference between the two numbers indicates the remaining distance, that is not covered on Tuesday, thus telling us about the extra distance.
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question content area top part 1 express the following angular speed in radians per second. 14 revolutions per second
Answers
The angular speed of 14 revolutions per second is equal to 87.96 radians per second.
Angular speed is a measure of how fast an object is rotating or revolving around an axis. It is typically measured in units of angular displacement per unit of time, such as degrees per second, revolutions per minute (RPM), or radians per second.
To convert angular speed from revolutions per second (RPS) to radians per second (RAD/s), we can use the following formula:
Angular speed (RAD/s) = 2π x Revolutions per second (RPS)
Given that the angular speed is 14 revolutions per second, we can substitute this value into the formula:
Angular speed (RAD/s) = 2π x 14 RPS
Angular speed (RAD/s) = 87.96 RAD/s
So, 14 revolutions per second is equivalent to 87.96 radians per second.
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culate absolute and relative change
Question
Upon returning from military deployment, Joseph is trying to describe to his family all that has changed at home w
was away. To illustrate his point, he gathered information about common items that had changed in his absence..
found that the average television size was 40.4 inches at the time of his deployment, and was 42.8 inches by the
returned. What is the absolute and relative change in average television sizes from the time of Joseph's deployme
time he returned?
Round your answer for relative change to the nearest hundredth of a percent.
Do not round until your final answer.
Provide your answer below:
Answers
The absolute change in average television sizes from the time of Joseph's deployment time he returned is given as follows:
2.4 inches.
The relative change is given as follows:
5.94%.
How to obtain the absolute and the relative change?The absolute change is given by the absolute value of the difference of the final value by the initial value, hence:
|42.8 - 40.4| = 2.4 inches.
The relative change is given by the division of the absolute change by the initial measure, and then multiplied by 100%, hence:
2.4/40.4 x 100% = 5.94%.
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Question 2 of 8 QUESTION: What is 3/4÷4/5?
Answers
Hope this helps
Select the correct choice that completes the sentence below. An odd function is symmetric with respect to the y-axis. origin line y =X-axis.
Answers
From the given option , the completed sentence is : An odd function is symmetric with respect to the origin .
The Odd Functions are functions which return the negative inverse when x is replaced with "-x" . which means that function f(x) is an odd function when f(-x) = -f(x) .
The Odd Functions are symmetrical about origin because ; the Odd function on one side of x-axis is sign inverted with respect to the other side or graphically, symmetric about the origin.
Therefore , the odd functions are symmetric about the origin .
The given question is incomplete , the complete question is
Select the correct choice that completes the sentence below.
An odd function is symmetric with respect to the _____ .
(a) y-axis
(b) origin
(c) line y = x
(d ) x-axis.
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Mrs. Barton's famous peanut butter cookies call for 1 cup of peanut butter for every
1
2
of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?
Answers
Mrs. Barton should use 2 cups of peanut butter in her huge batch with 1 cup of oil.
What is fraction?
Fractions are a way of representing part of a whole. They are written as two numbers separated by a slash. The top number is called the numerator, and the bottom number is called the denominator. For example, in the fraction 1/2, 1 is the numerator and 2 is the denominator. This fraction represents one part of a total of two parts.
Mrs. Carter's famous peanut butter cookies call for 1 cup of peanut butter for every 1/2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil.
From the above question:
1/2 cup of oil = 1 cup of peanut butter
1 cup of oil = x
Cross Multiply
1/2x = 1 × 1
x = 1 ÷ 1/2
x = 1 × 2/1
x = 2 cups of peanut butter.
Therefore, for huge batch with 1 cup of oil, she should use 2 cups of peanut butter.
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The measure of an interior angle of a regular polygon is 162º. Find the number of sides in the polygon.
_______sides
Answers
Answer:
20 sides
Step-by-step explanation:
The number of sides of a regular polygon, if each of its interior angles is 162° is 20.
please help fast and thank you
Answers
The order of the functions' average rates is h(x), g(x) and f(x)
How to order the functions' average ratesFrom the question, we have the following parameters that can be used in our computation:
The functions
The interval is given as
4 ≤ x ≤ 7
And the average rate is calculated as
Rate = (f(x₂) - f(x₁))/(x₂ - x₁)
So, we have
f(x) rate = (10 + 10)/(7 - 4) = 6.67
g(x) rate = (19 - 7)/(7 - 4) = 4
For h(x), we have
h(7) = 7^2 - 9 * 7 + 5 = -9
h(4) = 4^2 - 9 * 4 + 5 = -15
So, we have
h(x) rate = (-15 + 9)/(7 - 4) = -2
When compared, we have
-2 less than 4 less than 6.67
So, the order is h(x), g(x) and f(x)
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Find the value of x PLEASE I NEED HELPP
Answers
Answer:
x =~ 21.93
Step-by-step explanation:
x = hypotenusa
x² = (18 / 2)² + 20²
x² = 9² + 400
x² = 81 + 400
x² =~ 481
x = [tex]\sqrt{481}[/tex]
x =~ 21.93
Hi, please help me with this, i will be giving brainly and 5 stars once i submit and make sure everything is correct. thanks!
Answers
Answer:
see below
Step-by-step explanation:
every stage is 60m
stage one = -340+60 = -280
stage 2: -280 +60 = -220
stage 3: -220 +60 = -160
stage 4: -160+60 = -100
stage 5: -100+60= -40
stage 6: -40+60 =20
it'll take it 6 stages to fully surface
What is the quotient? 4,907 ÷ ÷ 14 =
Answers
Answer:
I believe it's 350 R(remainder) 7
The highest elevation in California is 14,505 feet, and the lowest elevation is −282 feet. Write and then evaluate an expression to determine the distance between the lowest and highest elevations.
Answers
The expression to determine the distance between the lowest and the highest point is -
{x} = 14505 + |- 282|
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that the highest elevation in California is 14,505 feet, and the lowest elevation is − 282 feet.
The expression to determine the distance between the lowest and the highest point can be written as -
{x} = 14505 + |- 282|
where -
| | represents modulus function.
Therefore, the expression to determine the distance between the lowest and the highest point is -
{x} = 14505 + |- 282|
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please help me due now Ms. Garza installed the base of the fountain shown below in her yard.
A diagram of a fountain is shown. The height of the fountain is labeled sixteen inches. A line drawn under the fountain from one side of the inner part of the fountain to the other side is labeled sixty inches.
If she filled the fountain 23 of the way with water, how much water did Ms. Garza put in the fountain in terms of π?
A) 15,360π in.3
B) 14,400π in.3
C) 10,240π in.3
D) 9,600π in.3
Answers
The amount of water placed in the fountain is given as follows:
D. 9,600π in³
How to obtain the volume of a cylinder?The volume of a cylinder of radius r and height h is given by the equation presented as follows:
V = πr²h.
The parameters for the fountain in this problem are given as follows:
r = 30 in, h = 16 in.
Then the volume of the entire fountain is given as follows:
V = π x 30² x 16
V = 14,400π in³.
Two thirds of this entire volume is given as follows:
2/3 x 14,400π in³ = 9,600π in³
Meaning that the correct option is given by option D.
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NO LINKS!!!
12. Find the inverse of the following functions using what you know about inverse operations. Some of these functions do not have a functional inverse. If it has no functional inverse, write "No inverse function"
Answers
Answer:
a) No inverse function
[tex]\textsf{b)} \quad c^{-1}(x)=5+\sqrt{x-2},\;\; c\geq2[/tex]
[tex]\textsf{c)} \quad f^{-1}(x)=-\dfrac{2x}{3x-5}[/tex]
Step-by-step explanation:
Part aGiven function:
[tex]a(x)=-4x^2+3[/tex]
To find the inverse of the function, swap x and y:
[tex]\implies x=-4y^2+3[/tex]
Rearrange the equation to isolate y:
[tex]\implies x-3=-4y^2[/tex]
[tex]\implies y^2=-\dfrac{x-3}{4}[/tex]
[tex]\implies y^2=\dfrac{3-x}{4}[/tex]
As the domain and range of function a(x) are unrestricted, the inverse relation is a “sideways” parabola and therefore it is not a function, since it fails the vertical line test.
Part bGiven function:
[tex]c(x)=(x-5)^2+2,\;\;x\geq5[/tex]
As the domain of function c(x) is restricted to x ≥ 5, the range is also restricted.
Range: c(x) ≥ 2To find the inverse of the function, swap x and y:
[tex]\implies x=(y-5)^2+2[/tex]
Rearrange the equation to isolate y:
[tex]\implies x-2=(y-5)^2[/tex]
[tex]\implies \pm\sqrt{x-2}=y-5[/tex]
[tex]\implies y=5\pm\sqrt{x-2}[/tex]
As the domain of function c(x) is restricted to x ≥ 5 then:
[tex]\implies y=5+\sqrt{x-2}[/tex]
Replace y with c⁻¹(x):
[tex]\implies c^{-1}(x)=5+\sqrt{x-2}[/tex]
The domain of the inverse of a function is the same as the range of the original function. Therefore, the domain of the inverse function is restricted to x ≥ 2.
Part cGiven function:
[tex]f(x)=\dfrac{5x}{3x+2}[/tex]
To find the inverse of the function, swap x and y:
[tex]x=\dfrac{5y}{3y+2}[/tex]
Rearrange the equation to isolate y:
[tex]\implies x(3y+2)=5y[/tex]
[tex]\implies 3xy+2x=5y[/tex]
[tex]\implies 3xy-5y=-2x[/tex]
[tex]\implies y(3x-5)=-2x[/tex]
[tex]\implies y=-\dfrac{2x}{3x-5}[/tex]
Replace y with f⁻¹(x):
[tex]\implies f^{-1}(x)=-\dfrac{2x}{3x-5}[/tex]