The mass of the rectangular box B where B is the box determined by 0≤x≤1, 0≤y≤4, and 0≤z≤4 is 736.77
According to the question,
A rectangular box B is given with density ρ(x , y , z) = ze^(x+y)
We will find the mass of rectangular box B by using Triple integration method
In the question, The boundary limit for the density is given
0≤x≤1, 0≤y≤4, and 0≤z≤4
Mass formula = [tex]\int\int\int\limits_B {\rho (x,y,z)} \, dV[/tex]
Where , dV is dz dy dx
So, [tex]\int\limits^1_0 \int\limits^4_0 \int\limits^4_0 {\rho(x,y,z)} \, dz dy dx[/tex]
Putting ρ(x , y , z) = ze^(x+y)
=> Mass = [tex]\int\limits^{1}_{0} \int\limits^{4}_{0} \int\limits^{4}_{0} ze^{(x+y)} \, dz dy dx[/tex]
=> [tex]\int\limits^{1}_{0} \int\limits^{4}_{0}e^{(x+y)} [\frac{z^{2}}{2}]^{4}_{0} \, dy dx[/tex]
=> [tex]\int\limits^{1}_{0} \int\limits^{4}_{0} 8e^{(x+y)} \, dy dx[/tex]
=> [tex]\int\limits^{1}_{0} \int\limits^{4}_{0} 8e^{x}e^{y} \, dy dx[/tex]
=> [tex]\int\limits^{1}_{0} 8e^{x} [e^{y}]^{4}_{0} \, dx[/tex]
=> [tex]\int\limits^{1}_{0} 8e^{x} (e^{4}-1) \, dx[/tex]
=> [tex]8 (e^{4}-1) [e^{x}]^{1}_{0}[/tex]
=> [tex]8 (e^{4}-1) (e^{1}-1)[/tex]
=> 8(e⁴⁺¹ - e⁴ - e¹ + 1)
=> 8(e⁵- e⁴ - e¹ + 1)
Writing value of exponential function,
Mass of rectangular box B = 736.77
Hence, The mass of the rectangular box B where B is the box determined by 0≤x≤1, 0≤y≤4, and 0≤z≤4 is 736.77
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If there is a girl with height 132cm there must be a girl with height 128
A researcher needs to assign 10 subjects, numbered 0 to
9, to one of two treatment groups: A and B. Use the table
of random digits, starting with the first row and first
column, to carry out the random assignment.
Table of Random Digits
1 07581 34728 65182 58648 53252 83952
2 23290 98227 30144 83191 12167 90414
3 79486 99776 71793 95330 58256 71156
4 46354 09077 98202 03946 07455 39303
5 00472 20787 54571 73719 04368 41032
Select the correct random assignment using the table.
A: 0, 7, 5, 8, 1
A: 0, 2, 4, 6, 8
B: 3, 4, 7, 2, 8
B: 1, 3, 5, 7, 9
B: 2, 9, 1, 7, 4
OA: 0, 3, 6, 5, 8
A: 0, 7, 5, 8, 1
B: 3, 4, 2, 6, 9
In response to the question, we may say that As a result, the right answer expression is OA: 0, 3, 6, 5, 8, corresponding to the participants assigned to therapy A.
what is expression ?An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.
To carry out the random assignment, we may utilise the following table of random digits:
Allocate the first ten topics to the table's rows, beginning with 0 and ending with 9.
Read the numerals from left to right, top to bottom, until 5 participants have been allocated to treatment A and 5 subjects have been assigned to treatment B.
We can get the following random assignment using this method:
A: 0, 3, 6, 5, 8 \sB: 1, 7, 4, 2, 9
As a result, the right answer is OA: 0, 3, 6, 5, 8, corresponding to the participants assigned to therapy A.
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Answer:
A: 0, 7, 5, 8, 1 B: 3, 4, 2, 6, 9
Step-by-step explanation:
THE ANSWER IS D
evaluate the following expression. express your answer as a fraction or a decimal number rounded to four decimal places. 11C9/11P4
The result of the expression 11C9 / 11P4 is 1 / 144
The given expression is
11C9 / 11P4
The permutation is defined as the method of arranging the numbers or object in order
The combination is defined as the method of selecting the numbers or object from a collection without any order
The given expression is
11C9 / 11P4
Find the value of each term
11C9 = 11! / (11-9)! × 9!
= 55
11P4 = 11! / (11-4)!
= 7920
Substitute the value of each term in the expression
The expression will be
11C9 / 11P4 = 55/7920
= 1/144
Therefore, the result is 1/144
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A checkerboard is 8 squares long and 8 squares wide. The area of each square is 14 square centimeters. Estimate the perimeter of the checkerboard.
The perimeter of the checker board 118.4 cm
Area of each square = 14 sq. cm.
What is the length?
Distance is measured in length. Length has the dimension of distance in the International System of Quantities. The majority of measurement systems choose a base unit for length from which all other units are derived. The meter serves as the foundational unit of length in the International System of Units.
The square root of area is the length of one side
[tex]\text { lengthofeachsquare }=\sqrt{14}=3.7 \mathrm{~cm}[/tex]
[tex]\text { lengthofoneside }=8 * 3.7=29.6 \mathrm{~cm}[/tex]
[tex]P=4 a[/tex]
[tex]=4 * 29.6=118.4 \mathrm{~cm}[/tex]
[tex]\text { Perimeterofthecheckerboard }[/tex]
Therefor we get the perimeter of the checker board 118.4 cm
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Solve. Write answers as an imaginary number. 3x^2=-12
80 POINTS
Answer:
Step-by-step explanation:
3x^2 = -12
divide both side by 3x^2 = -4
Solve the square root.x = ±√-4
this equation has no real solutions
Answer:
x = {- 2i; 2i}-------------------------------
GivenEquation 3x² = 12Solve as below3x² = - 12x² = - 4x = √-4x = ± 2√-1x = ± 2i6. If g(x)=-3x²-2 , find g(-2).
Answer:
g(-2) = -14
Step-by-step explanation:
We just need to substitute -2 for x
g(-2) = -3 * (-2)^2 - 2 = -3 * 4 - 2 = -12 - 2 = -14
1. What is the slope of the graph of 5x - 2y = 20?
A. -10
6.3/
B.
C.
5
D. 5
PLEASE HELP IM GOING TO FAIL
5. A student spends no more than two hours on his math and English homework. If math takes
about twice as long as English, what is the maximum time that the student can spend on
English?
O1/3
hour
O1/2 hour
O 1 hour
O 2/3 hour
(1 point)
Answer:
2/3 hour
Step-by-step explanation:
lets say English takes x hour to complete such that Math will take twice as long which is 2x hour. It takes 2 hours to complete both English and Math. So we can write the following equation:-
x+2x=2
or, 3x=2
or, x=2/3
Therefore, English takes 2/3 hour to complete (which is 40 minutes)
And Math takes 4/3 hour to complete (which is 80 minutes)
Which step shows the result of applying the subtraction property of equality?
Step
1
2
3
4
Step 1
Step 2
Step 3
O Step 4
(12x+8) +4=3
Solution
3x+2+4=3
3x+6=3
3x=-3
X=-1
Step 3 shows the result of applying the subtraction property of equality
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 1/4(12x+8)+4=3.
We need to find which step has the property of substitution.
The Subtraction Property of Equality states that an equal value subtracted or removed from two equal items will result in a new equal amount.
Given step 1 is 3x+2+4=3
Opened the brackets on left side and multiplied with 1/4.
Step 2: 3x + 6 = 3.
Added the numbers on the left.
Step 3: 3x = -3
Equal value subtracted or removed from two equal items will result in a new equal amount. So Subtracted both sides by 6.Step 3 shows the result of applying the subtraction property of equality
Step 4: x = -1
Divided both sides by 3.
Hence, in step 3 we have used the property of subtraction.
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A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 7 inches. A random sample of 51 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.)
Answer: Since the sample size is large (n > 30) and the population standard deviation is known, we can use the normal distribution to approximate the sampling distribution of the mean.
The standard error of the mean is the standard deviation of the sampling distribution of the mean, and it can be calculated as follows:
standard error of the mean = standard deviation / sqrt(n)
Plugging in the given values, we get:
standard error of the mean = 7 inches / sqrt(51) = 1.17 inches
The probability that x is within 0.5 inches of the claimed population mean (15 inches) is equal to the probability that x is between 14.5 inches and 15.5 inches. We can use the normal distribution to find this probability by standardizing the range 14.5 inches to 15.5 inches and using a z-table or a calculator to find the corresponding probability.
The standardized value for 14.5 inches is (14.5 - 15) / 1.17 = -0.43, and the standardized value for 15.5 inches is (15.5 - 15) / 1.17 = 0.43.
The probability that x is between -0.43 and 0.43 is equal to the area under the standard normal curve between these two values. Using a z-table or a calculator, we can find that this probability is 0.6915.
Therefore, the probability that x is within 0.5 inches of the claimed population mean is approximately 0.6915, which is the final answer.
Average Bloxyy
Which is not an equation of the line going through (3, -6) and (1, 2)?
A. y=-4x+6
B. y+ 6 = -4(x- 3)
C. y- 1=-4(x-2)
D. y - 2 = -4(x-1)
An equation of the line going through two points (x1, y1) and (x2, y2) can be written in the form y - y1 = m(x - x1), where m is the slope of the line. The slope of the line can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Plugging in the values for (x1, y1) and (x2, y2) from the problem, we get:
m = (2 - (-6)) / (1 - 3) = 8/ -2 = -4
Therefore, an equation of the line going through (3, -6) and (1, 2) is of the form y - (-6) = -4(x - 3).
Option B is of this form, so it is an equation of the line going through (3, -6) and (1, 2). The other options are not of this form, so they are not equations of the line going through (3, -6) and
12) Name three points collinear with point A.
Answer:
c, e, f
Step-by-step explanation:
Collibear means lying on or passing through the same straight line.
What’s 7 1/3 - 5 1/6 ?
Pls hurry !!!
If >p and >Q are complementary angles m>p = 7x +3, and m>q= 16x -5, find m>p
Answer:
m<P = 31°
Step-by-step explanation:
Use this symbol < for angle, not <.
<P and <Q are complementary.
That means that their measures add to 90°.
m<P + m<Q = 90°
Now we substitute 7x + 3 for m<P and 16x - 5 for m<Q.
7x + 3 + 16x - 5 = 90
Solve for x.
23x - 2 = 90
23x = 92
x = 4
m<P = 7x + 3 = 7 × 4 + 3 = 31
Answer: 31°
Find the range of the relation
Answer:
1st {-6, -3, 0, 3, 6}
Step-by-step explanation:
range is the output that is "y", so the range is a set of {-6, -3, 0, 3, 6}
A _____ shows the joint or bivariate relationship between two categorized (nominal and/or ordinal) variablesA. RegressionB. Standard ErrorC. CrosstabulationD. Confidence Interval
A Confidence Interval shows the joint or bivariate relationship between two categorized (nominal and/or ordinal) variables.
Data that is labeled without using quantitative data is known as nominal data.
Define Variables?A variable in mathematics is an alphabet or phrase that stands in for an unknowable amount, unknowable value, or unknowable number.
A variable is categorical unless it has a numerical value, in which case it is referred to as a quantitative variable.
The category and quantitative variables are now classified as follows:
Duration is a quantitative variable with interval as its unit of measurement.
Ratings are categorical variables with an ordinal level of measurement.
The degree of measurement for the categorical variable "voting status" is nominal.
Ordinal data are those that can be arranged.
The highest and smallest known values are continuous and discrete values for interval data, respectively. The order is clear here. Here, the distinction between two values means something.
All of the characteristics of interval data apply to ratio data, plus it has the definition of zero(0), meaning that no points are included. For instance, height, weight, etc.
Because ratio includes both continuous and discrete data, it is likely that the difference between any two numbers won't be the same.
It is interval data since everyone knows when a class starts and when it ends, and it also has these two times. for instance, between 9:00 to 10:00
Nominal because the information is categorical.
Ordinary, given that we may get quality products here. Good, acceptable, or poor.
Ordinal because the marks can be arranged.
Ordinary since we can arrange the ages.
Line symmetry; rotational symmetry; the reflection in the line x = 0, the reflection in the line y = 0 the reflection in the line y = x and the reflection in the line y = -x map the square onto itself; the rotations of 90°, 180°, 270° and around the point ( 0 , 0 ) map the square onto itself.
Therefore,
A Confidence Interval shows the joint or bivariate relationship between two categorized (nominal and/or ordinal) variables.
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asap!! :P
given g(x)=5x-5 find g(-6)
The calculation finds that by substituting '-6' for 'x' in the equation g(x)=5x-5, we find the value of g(-6) to be -35.
Explanation:The question asks us to find the value of g(-6) for function g(x)=5x-5. To do this, we substitute '-6' for 'x' in the equation. The calculation is as follows:
g(x)=5x-5 Substituting '-6' for 'x', the equation becomes g(-6)=5*(-6)-5 Multiplying -5 by -6 gives -30, so the equation becomes g(-6)= -30-5 Subtraction gives us g(-6)= -35Learn more about Function Substitution here:https://brainly.com/question/35064274
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Two different meal combinations at a chicken restaurant have the same number of total calories.
- The first meal has 8 chicken nuggets and a large order of fries.
- The second meal has 12 chicken nuggets and a small order of fries.
- The larger order of fries contains 288.5 calories.
- The small order of fries contains 193.5 calories.
Which equation and solution can be used to determine n, the number of calories in each chicken nugget?
A 12 n-288.5=8 n-193.5 ; n=24.1
B 8 n+193.5=12 n+288.5 ; n=23.75
C 193.5+12 n=288.5+8 n ; n=24.1
D 8 n+288.5=12 n+193.5 ; n=23.75
The equation which can be used to determine n, the number of calories in each chicken nugget would be 193.5+12 n=288.5+8n
And n = 24.1
Option (C) is correct.
What is a linear equation?
A linear equation is an equation that describes a straight line. Linear equations have the form y = mx + b, where x and y are variables and m and b are constants. The constant m is the slope of the line, and the constant b is the y-intercept, which is the point where the line crosses the y-axis.
To derive this equation, we can start with the fact that the two meals have the same number of total calories. This means that the number of calories in the first meal is equal to the number of calories in the second meal. We can represent this relationship with the equation:
8 nuggets * calories/nugget + 193.5 calories = 12 nuggets * calories/nugget + 288.5 calories
We can then rearrange the terms on the left and right sides of the equation to get the equation in the form given in option C:
193.5 + 12 n = 288.5 + 8 n
Finally, we can solve this equation for n by subtracting 8n from both sides and then dividing both sides by 4:
n = (193.5 - 288.5) / 4 = (-95) / 4 = -23.75
Therefore, the number of calories in each chicken nugget is 24.1 calories.
Hence, option (C) is correct.
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Prior to the current period, Sol Berenson had earnings subject to FICA tax of $138,600. This week, Sol has gross earnings of $4,900, so he will have $ withheld in FICA tax for this period.
The amount withheld in FICA Tax for Sol Berenson's weekly earnings is given as follows:
$749.7.
How much will be withheld by the FICA Tax?To calculate the amount withheld by Berenson's employer in FICA tax, we apply the proportion of the FICA tax to his total earnings.
Researching on a web search, the FICA tax rate is given as follows:
15.3% = 0.153.
As the FICA tax is a combination of the Medicare tax with the Social Security tax.
Sol Berenson's gross weekly earnings are given as follows:
$4,900.
(as stated in the problem).
The amount withheld is 15.3% of that, which is found applying the proportion, which is the multiplication of 0.153 by 4900 as follows:
Amount Withheld = 0.153 x 4900 = $749.7.
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Given the geometric sequence twenty-seven sixteenths comma negative nine eighths comma three fourths comma and continuing comma what is a6?
a
two ninths
b
negative two ninths
c
negative 81 over 128
d
81 over 128
The 6th term of the geometric sequence 27/16, -9/8, 3/4..... is - 2/9
The correct answer option is option B
What is the 6th term of the geometric sequence?Given: 27/16, -9/8, 3/4.....
nth term = ar^(n-1)
Where,
First term, a = 27/16
Common ratio, r = -9/8 ÷ 27/16
= -9/8 × 16/27
= -2/3
6th term = ar^(n-1)
= 27/16 × -2/3^(6-1)
= 27/16 × -2/3^5
= 27/16 × -32/243
= - 2/9
In conclusion, negative two ninths is the 6th term of the geometric sequence.
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2. Which of the following statements is correct based on the number line below?
A.
B.
C.
D.
0
√28
√28
A
1 2 3
B
844
t
C
to
5
6 7 8 9
is to the right of Point C because it is less than 5.
D
+
10
is to the right of Point C because it is greater than 5.
11
√28
is between points B and C because it is less than 0 and greater than 5.
√28
is between points B and C because it is greater than 0 and less than 5.
Denominator is 3 more than numerator. If both are increased by 2, the result is 2/3.
Eqn 1:
Eqn 2:
Answer:
Step-by-step explanation:
let numerator=x
denominator=x+3
again
[tex]\frac{x+2}{x+3+2} =\frac{2}{3} \\3(x+2)=2(x+5)\\3x+6=2x+10\\3x-2x=10-6\\x=?[/tex]
x=4
number is
[tex]\frac{4}{4+3} \\=\frac{4}{7}[/tex]
1) The rectangle below has a perimeter of 38cm. Find x.
X
2x + 7
2) Find the largest angle
2x + 15
2x + 30
-x + 17
4x + 19
cm
(2 Marks)
Answer:
4 cm 143°Step-by-step explanation:
You want the value of x that makes the perimeter of a rectangle be 38 cm when sides are x and (2x+7). And you want the largest angle in the quadrilateral with angles x+17, 2x+15, 2x+30, and 4x+19.
1. PerimeterThe perimeter of a rectangle is given by the formula ...
P = 2(L +W)
Substituting the given values, we have ...
38 = 2((2x+7) +x)
Dividing by 2 gives ...
19 = 3x +7
12 = 3x . . . . . . . subtract 7
4 = x . . . . . . . divide by 3
The value of x is 4 cm.
2. AnglesThe sum of the angles of a quadrilateral is 360°. This tells us ...
360 = (x +17) +(2x +15) +(2x +30) +(4x +19)
360 = 9x +81 . . . . . . . collect terms
40 = x +9 . . . . . . divide by 9
31 = x . . . . . . . subtract 9
The largest angle is 4x+19, or 4(31) +19 = 124 +19 = 143.
The largest angle is 143°.
Answer:
The answers are attached to this response.
Step-by-step explanation:
1.
⭐Properties of a rectangle
the opposite sides are parallel and congruent (the same)perimeter = the sum of all the sidesperimeter = 2(length)+2(width)Using the properties of a rectangle, let's form an equation of the perimeter to solve for x.
perimeter = 2(length) + 2(width)
38 = 2(2x+7) + 2(x)
38 = 4x + 14 + 2x . . . . . . . . . distribute the coefficients of the expressions
38 = 6x + 14 . . . . . . . . . . . . . add like terms
24 = 6x . . . . . . . . . . . . . . . . . subtract 14 from LHS and RHS
∴ 4 = x . . . . . . . . . . . . . . . . . . divide LHS and RHS by 6
2.
The figure shown makes the shape of a kite.
⭐Properties of a kite
the internal angles have a sum of 360°Using the properties of a kite, let's form an equation of the sum of the internal angles to solve for x, and then substitute x into the largest angle expression to find its angle measure.
(∠1) + (∠2) + (∠3) + (∠4) = 360°
(2x + 15) + (2x+30) + (4x+19) + (x+17) = 360
9x + 81 = 360 . . . . . . . add like terms
9x = 279 . . . . . . . . . . . subtract 81 from LHS and RHS
x = 31 . . . . . . . . . . . . . . divide LHS and RHS by 9
Substitute x into the largest angle expression to find its angle measure.
4(31) + 19 = 143°
∴ 143° is the largest angle
to specify that x1 must be at most 75% of the blend of x1 , x2 , and x3 , we must have a constraint of the form
The linear constraint form of the variables is X1 =< 0.75(X1 + X2 + X3)
The term linear refers the algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Here we have given that x1 must be at most 75% of the blend of x1 , x2 , and x3 ,
Abd here we must have to find the linear constraint of the form of the variables.
While we looking into the given question we have identified the three are three variables are given they are x1, x2 and x3.
And we have also given that x1 must be greater than 75% when we convert this into decimal then we get the value 0.75.
Here the term of blend refers the sum of the terms,
Then the linear constraint form of the variables is written as,
=> X1 =< 0.75 (X1 + X2 + X3)
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The linear regression equation for the data set is...
Answer: C
Step-by-step explanation: Because
Calculate two-thirds of three-quaters of one half
Answer:
0.25
Step-by-step explanation:
Step 1: Convert all fractions to decimals
Two-thirds = 0.6666
Three-quarters = 0.75
One-half = 0.5
Step 2: Multiply all fractions
0.6666 * 0.75 * 0.5 = 0.25
Step 3: The answer is 0.25
Answer:
[tex]\dfrac{1}{4}[/tex]
Step-by-step explanation:
Three-quarters of one half:
[tex]\implies \dfrac{3}{4} \times \dfrac{1}{2}=\dfrac{3 \times 1}{4 \times 2}=\dfrac{3}{8}[/tex]
Two-thirds of "Three-quarters of one half":
[tex]\implies \dfrac{2}{3} \times \dfrac{3}{8}=\dfrac{2 \times 3}{3 \times 8}=\dfrac{6}{24}=\dfrac{6 \div 6}{24 \div 6}=\dfrac{1}{4}[/tex]
I need a little bit of help with this one
Step-by-step explanation:
boy come ladies yer wait for you
hvb-amor-jon
given f(x)=2x+1,find f(-5)
Answer:
f(-5) = -9
Step-by-step explanation:
f(x) = 2x + 1
f(-5) = 2(-5) + 1
f(-5) = -10 + 1
f(-5) = -9
PLEASE ANSWER QUICK!!
Consider the functions and f(x)=|x|-2 and g(x)=2f(x).
a. Complete the table.
b. Describe the graph of f. How does each point on the graph of f map to the corresponding point on g?
The function f(x) is an absolute function and the function g(x) will be twice the function f(x). The table is completed below.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The functions are given below.
f(x) = |x| - 2 and g(x) = 2 f(x)
The function g(x) is rewritten as,
g(x) = 2 (|x| - 2)
g(x) = 2|x| - 4
The function f(x) is an absolute function and the function g(x) will be twice the function f(x).
x f(x) = |x| - 2 g(x) = 2f(x)
-2 0 0
-1 -1 -2
0 -2 -4
1 -1 -2
2 0 0
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Subtract 7x-9 from 2x² - 11.
O 2x²-7x-20
02x²-7x-2
O 2x²+7x-20
O 2x²+7x-2
The required, subtraction of 7x-9 from 2x² - 11 is 2x²-7x-2. Option B is correct.
What is arithmetic?Arithmetic is a branch of mathematics that deals with the study of numbers, their properties, and their operations. It involves the basic operations of addition, subtraction, multiplication, and division, as well as more advanced operations such as exponents, roots, logarithms, and trigonometric functions.
Here,
To subtract 7x-9 from 2x² - 11, we need to distribute the negative sign across 7x and 9, and then combine like terms.
=2x² - 11 - (7x - 9)
= 2x² - 11 - 7x + 9
= 2x² - 7x - 2
Therefore, the answer is 2x²-7x-2.
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Find the vertex of the graph of f(x) = |0.25x − 0.75|. vertex ?
The vertex of the graph (3, 0)
What is Vertex of graph?
A vertex or node is the basic building block of a graph in discrete mathematics, and more precisely in graph theory. An undirected graph is made up of a set of vertices and a set of edges, whereas a directed graph is made up of a set of vertices and a set of arcs.
According to question
when f(x) = 0
that's the minimum point, the vertex, or the intersection of two lines, g(x) = 0.25x − 0.75 and h(x) = 0.75 - 0.25x
Therefore
find the intersection of Two line which are
⇒ y = x/4 - 3/4
⇒ 4y = x - 3 → First line
⇒ y = 3/4 - x/4
⇒ 4y = 3 - x → Second line
So x - 3 = 3 - x
2x = 6 ,
x = 3
And y = 0
hence the vertex of f(x) = (3, 0)
To learn more about Vertex , check out
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