Answer: (9x–5)
(4x+5)(9x-5)= 36x^2+25x-25
How do I change my level? It says I am in high school but I am only in middle school.
Answer:
go on your profile ---> edit profile----> preferences
Step-by-step explanation:
Express as a fraction 12 1\2%
Answer:
1/8.
Step-by-step explanation:
12 1/2 %
= 12 1/2 / 100
= (25/2) / 100
= 25/200 Now 200/25 = 8 so the answer is
1/8.
please help!!
Study the following data set.
{101, 123, 94, 99, 150, 95, 112, 98, 101, 96, 99}
What is the standard deviation for the data set?
Round your answer to the nearest tenth, if necessary.
O 18
O 16.1
O 106.2
О 99
The standard deviation for the data set is approximately 18.
To find the standard deviation of the given data set, follow these steps:
1. Calculate the mean (average) of the data set: (101 + 123 + 94 + 99 + 150 + 95 + 112 + 98 + 101 + 96 + 99) / 11 = 1068 / 11 ≈ 97.1
2. Subtract the mean from each data point and square the result: (3.9², 25.9², -3.1², 1.9², 52.9², -2.1², 14.9², -0.1², 3.9², -1.1², 1.9²)
3. Calculate the sum of the squared differences: 15.21 + 670.81 + 9.61 + 3.61 + 2799.61 + 4.41 + 222.01 + 0.01 + 15.21 + 1.21 + 3.61 ≈ 3745.30
4. Divide the sum by the number of data points minus 1 (degrees of freedom): 3745.30 / (11 - 1) = 374.53
5. Take the square root of the result: √374.53 ≈ 19.36
The standard deviation for the data set is approximately 18 when rounded to the nearest tenth.
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3a²b+4ab² Terms Factors .1 Write down all the possible factors for each of the following expressions. 3a²b =
4ab²=
The expression is factorized as A = ab ( 3a + 4b )
a) 1, 3, a, a², b, ab, 3a, 3a², 3b, 3ab, 3a²b
b) 1, 2, 4, a, b, b², ab, 2b, 4b, 2ab, 4ab, 4ab²
Given data ,
Let the given expression be represented as A
Now , the value of A is
A = 3a²b + 4ab²
On factorizing the above expression , we get
A = ab ( 3a + 4b )
So , the equation is A = ab ( 3a + 4b )
For the expression 3a²b, the possible factors are:
1, 3, a, a², b, ab, 3a, 3a², 3b, 3ab, 3a²b
For the expression 4ab², the possible factors are:
1, 2, 4, a, b, b², ab, 2b, 4b, 2ab, 4ab, 4ab²
Hence , the factorized equation is A = ab ( 3a + 4b )
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Is (6,8) on the line y= x-2
Answer:
No, (6,8) is not on the line y = x - 2
Step-by-step explanation:
y = x-2
Slope: 1
Y-intercept: (0, -2)
If we add 6 to x and y, we will get the point (6, 4)
So, (6,8) is not on the line y = x - 2
Describe the follow scenario involves a permutation or combination. Then find the number of possibilities. Cody and Aaliyah are planning trips to two countries this year there in 15 countries they would be interested in visiting one trip will be one week long another two weeks
Answer:
This is a permutation problem because the order of their choice is important.
There are 210 ways in which this choice can be made.
Step-by-step explanation:
Complete Correct Question
Decide if the following scenario involves a permutation or combination. Then find the number of possibilities. Cody and Aaliyah are planning trips to two countries this year. There are 15 countries they would be interested in visiting. One trip will be one week long and the other two weeks.
Solution
Permutation is used to calculate the number of possibilities or number of ways k choices can be made from n options given that the order of picking the choices is important. If there are choices A, B and C, picking ABC is different from CAB if order of picking is important like permutation preaches.
Combination on the other hand, is used to calculate the number of possibilities or number of ways k choices can be made from n options given that the order of picking the choices is unimportant. If there are choices A, B and C, picking ABC is the same as picking CAB if order of picking is unimportant like combination preaches.
So, in this question, Cody and Aaliyah want to pick 2 countries to visit, out of 15. They plan to spend 2 weeks in one country and 1 week in the other country.
This last sentence makes the order in which they pick the countries to visit important. If they chose to spend two weeks in country A and one week in country B, it is now a different possibility from spending two weeks in country B and one week in country A.
Hence, this is a permutation problem
The number of possibilities of picking 2 countries out of 15 countries to spend 2 weeks in first country and spend 1 week in the other country is ¹⁵P₂ = 15! ÷ (15 - 2)!
= 210 ways in which this choice can be made.
Hope this Helps!!!
Chioe stops for lunch in a town that
has no meal tax. She has $20 and tips
15%. Select all the prices of meals she
could buy.
(A) $18.50
(B) $16.25
(C) $15.75
(D) $17.45
(E) $15.95
(Multiplying and Dividing with Scientific Notation LC)
Find the product of (4 x 106) and (2 x 106). Write the final answer in scientific notation.
8 x 106
8 x 1012
8 x 10012
8 x 1036
Answer:
Step-by-step explanation:
The answer is B or "8 x 10 to the 12th power"
I took the test and I got it right for 2 points.
Also, multiplying exponents was covered in the 1.06 lesson if you read the material carefully and followed the examples in the lesson.
Good Luck and have a great day.
The product in scientific notation is 8*10^2
How to multiply and divide in scientific notation?
Here we want to find the product between 4*10^6 and 2*10^6, and write that in scientific notation.
First, we can solve the direct product:
(4*10^6)*(2*10^6) = (4*2)*(10^6*10^6)
Here we used the fact that we can multiply in any order we want.
Now we will use the property:
a^n*a^n = a^{n + m}
(4*2)*(10^6*10^6) = 8*10^{6 + 6} = 8*10^12
The correct option is the second one, counting from the top.
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Which equation shows the area, in square centimeters, of the shaded figure?
Answer:
\(3\times8=24\)
Step-by-step explanation:
Notice that the shaded figure has a width of 3 cm and a length of 8 cm. The area of the rectangle is equal to the product of the width and length, so \(8\:\text{cm}\times3\:\text{cm}=24\:\text{cm}^2\) would be the area of the shaded figure.
If real gdp in a particular year is $80 billion and nominal gdp is $240 billion, the gdp price index for that year is 100. 300. 240. 200.
Answer:
If real GDP in a particular year is $80 billion and nominal GDP is $240 billion, the GDP price index for that year is: 300.
Step-by-step explanation:
Ted gets paid an hourly wage of $15 per hour. This week, Ted made an additional $27 dollars in overtime. Which expression represents the total amount of money that Ted earned this week?
A.
27 • p ‒ 15
B.
15(p ‒ 27)
C.
(15 • p) + 27
D.
15(p + 9)
Ted gets paid an hourly wage of $15 per hour. This week, Ted made an additional $27 dollars in overtime. Which expression represents the total amount of money that Ted earned this week?
A. 27 • p ‒ 15
B. 15(p ‒ 27)
C. (15 • p) + 27
D. 15(p + 9)
The volume of sphere Q is 50% more than the volume of sphere P. The volume of sphere R is 50% more than the volume of sphere Q. Find the volume of sphere P as a fraction of sphere R. Write your answer in the form a/b
Answer:
1/2.25
Step-by-step explanation:
let volume of P be x
Q will be 1.5x
R will be 150/100* 1.5x which is 2.25x
P/R = x/ 2.25x
= 1/2.25
Here we need to write the volume of sphere P as a fraction of the volume of sphere R.
We will get:
\(V_P = V_R/2.25\)
The given information is:
The volume of sphere Q is 50% more than the volume of sphere P.The volume of sphere R is 50% more than the volume of sphere Q.From the first statement, we can write:
\(V_Q = (1.5)*V_P\)
Where the 1.5 comes because the volume of sphere Q is 150% of the volume of sphere P.
From the second statement we can write:
\(V_R = (1.5)*V_Q\)
We can rewrite this last one as:
\(V_Q = V_R/(1.5)\)
Now we can replace this on the first equation to get:
\(V_R/(1.5) = (1.5)*V_P\\\\V_P =V_R/(1.5)^2 = V_R/2.25\)
This is the equation we wanted, the volume of sphere P as a fraction of the volume of the sphere R.
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PLEASE HELP
James had a collection of 500 Matchbox cars at the beginning of the summer.
After the summer, James had traded some of his Matchbox cars and now he has only 485 Matchbox cars.
What is the percent decrease of his Matchbox car collection?
Lilly bought two pieces of land. The
dimensions of the two pieces of land are 50
feet X 40 feet and 75 feet X 50 feet.
Calculate the total area of both pieces of
land.
Answer:
50*40 = 2000 sq feet
75*50 = 3750 sq feet
Step-by-step explanation:
The mean for the distribution of sample means is always equal to the mean for the population from which the samples are obtained. A) True B) False
The statement "The mean for the distribution of sample means is always equal to the mean for the population from which the samples are obtained" is A) True.
The mean for the distribution of sample means is always equal to the mean for the population from which the samples are obtained. This is a fundamental principle in statistics and is known as the central limit theorem.
The distribution of sample means is a probability distribution that shows the average values of a variable for all possible samples of a certain size taken from a population. The mean of this distribution is equal to the mean of the population.
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Determine whether the function is continuous or discontinuous at x=−8. Examine the three conditions in the definition of continuity. The function is continuous atx=−8. The function is discontinuous atx=−8
If all three conditions are met, the function is continuous at x=-8. If any of the conditions fail, the function is discontinuous at x=-8
To determine whether the function is continuous or discontinuous at x=-8, we need to examine the three conditions for continuity:
1. The function must be defined at x=-8.
2. The limit of the function must exist as x approaches -8.
3. The limit of the function as x approaches -8 must equal the function's value at x=-8.
If all three conditions are met, the function is continuous at x=-8. If any of the conditions fail, the function is discontinuous at x=-8.
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Complete the equation for the line
shown in the graph.
6.67 1
(1,4)
1.(0,1)
iš y = [?]x + [ ]
10
1
(-1,-2),
6.67
Enter
Answer:
Gradient = rise/run
3/1
=3
Y-intercept is 1
Y=3x+1
For questions 4 - 9, find the sum or difference of the polynomials. Write your answer in descending
order.
(9x2 + 3x - 2) + (3x2 - 5x - 3)
Answer:
12x^2-2x-5
Step-by-step explanation:
(9x2 + 3x - 2) + (3x2 - 5x - 3)
Combine like terms
9x^2+3x^2+3x-5x-2-3
12x^2-2x-5
A truck is carrying 513 pounds. There are 27 boxes of chocolate in the truck. About how much does each box weigh?
Answer:
19
Step-by-step explanation:
To solve this, we must divide: 513/27= 19
Have a nice day: Can I please have Brainliest? No biggie if not
PLEASE HELP! I'LL GIVE BRAINLIEST:)
The center of the circle whose equation is (x + 2)² + (y - 3)² = 25 is (2, -3) (2, 3) (-2, 3)
Step-by-step explanation:
We know that if (h,k) is the center of any circle and whose radius is = r then its equation is :
\( {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \)
Given, the equation of circle
\( {(x + 2)}^{2} + (y - 3) ^{2} = 25 = {5}^{2} \)
By comparing, we will get,
h = -2
k = 3
So, center of the circle is ( -2,3)
\(\large \green{ \: \: \: \: \boxed{\boxed{\begin{array}{cc} \bf\:Mark\\\bf\:me\:as\\\bf brainliest \end{array}}}} \\ \)
Answer:
-2;3
Step-by-step explanation:
we have a formular
(x-a)^2 +(y-b)^2=c
the center of the cirlce is (a;b)
so in this case it's (-2;3)
Find if the given series is absolutely or conditionally converges ∑n=1[infinity](−1)n12n⋅(2n−1)n. 3. Find the domain of convergence of the given series ∑n=1[infinity]3n⋅nxn. ∑n=1[infinity](−1)n12n⋅(2n−1)n=∑n=1[infinity](−1)+⋅an 3) Find the domaine P-cummare of the gik sories: ∑n=1[infinity]m⋅nxn B. Badin opas, β1=limn→[infinity]ananl =limn→[infinity](1/3n−n)(1/3n+1(n+1) limn→[infinity]3m−1(n+1)2n⋅n B1=31 Rad (u) -e cos β=3 Rod (u) oe cys Domin of c4s(B−3)=([−3,1) why? =[−3,−1)
The series is absolutely convergent.
To determine whether this series is absolutely or conditionally convergent, we can start by applying the Ratio Test. Let's calculate the ratio of consecutive terms:
∑n=1[infinity](−1)n(12n/(2n−1)n)
Simplifying the ratio, we have:
\(\lim_{n \to \infty} |(-1)^(n+1)(12(n+1)/(2n+1))(2n-1)^n/(12n*(2(n+1)-1))^n|\)
Taking the limit, we obtain:
\(\lim_{n \to \infty} a_n |(-1)^(n+1)*[(12(n+1)/(2n+1))/(12n/(2(n+1)-1))]^n|\)
Simplifying the expression inside the absolute value, we get \(\lim_{n \to \infty} |(-1)^(n+1)*[(n+1)/(n+(1/2))]^n|\)
Now, let's analyze the behavior of the ratio as n approaches infinity. Notice that as n increases, the absolute value of (-1)^(n+1) remains constant, and we focus on the term [(n+1)/(n+(1/2))]^n. We can rewrite this as:
[(n+1)/(n+(1/2))]^n = [(1+1/n)/(1+(1/(2n)))]^n
Taking the limit as n approaches infinity, we have:
lim(n→∞)\(\lim_{n \to \infty} [(1+1/n)/(1+(1/(2n)))]^n = e^(1/2)\)
Since the limit is a positive finite number (e^(1/2)), the ratio test is inconclusive. We need to apply another convergence test to determine the nature of convergence.
To proceed, we can use the Alternating Series Test because the series contains alternating terms (-1)^n. In this case, we need to check two conditions:
a) The absolute value of the terms must decrease monotonically.
b) The limit of the absolute value of the terms must approach zero.
For the given series, let's check these conditions:
a) The absolute value of the terms is given by:
|(-1)^n*(12n/(2n-1)^n)| = (12n/(2n-1)^n)
As n increases, the denominator (2n-1)^n grows faster than the numerator (12n), so the absolute value of the terms decreases monotonically.
b) Taking the limit as n approaches infinity:
lim(n→∞) (12n/(2n-1)^n) = 0
The limit of the absolute value of the terms approaches zero.
Since both conditions are satisfied, the Alternating Series Test guarantees that the given series is convergent.
Therefore, the series ∑n=1[infinity](−1)^n*(12n/(2n−1)^n) is conditionally convergent.
∑n=1[infinity]3n*(xn)
To find the domain of convergence for this series, we can use the Ratio Test. Let's calculate the ratio of consecutive terms:
lim(n→∞) |(3(n+1)(x(n+1)))/(3n(xn))|
Simplifying the ratio, we have:
lim(n→∞) |(3(n+1))/(3n)| * |(x(n+1))/(xn)|
Taking the limit, we obtain:
lim(n→∞) |(n+1)/n| * |(x(n+1))/(xn)|
Simplifying further, we get:
lim(n→∞) |1 + (1/n)| * |(x(n+1))/(xn)|
Since we want this limit to be less than 1 for convergence, we need:
lim(n→∞) |(x(n+1))/(xn)| < 1
This implies:
|(x(n+1))/(xn)| < 1
Taking the absolute value, we have:
|x(n+1)/xn| < 1
Now, considering that the series involves xn terms, we need to find the domain of convergence for the variable x. The condition above suggests that the ratio |x(n+1)/xn| must be less than 1 for convergence.
However, without additional information about the sequence {xn}, we cannot determine the specific domain of convergence for x. It depends on the behavior of the sequence and the specific values of x.
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a group conducting a survey randomly selects adults in a certain region. of the 2,500 adults selected, 1,684 are men.
assuming that men and women have an equal chance of being selected the probability of the adults being chosen this way
by chance is less than 0.01. interpret the results of this calculation
The probability of the adults being chosen this way by chance is less than 0.01 interprets that group is more likely to choose men over women
A group conducting a survey randomly selects adults in a certain region. Of the 2,500 adults selected, 1,684 are men. The men and women have an equal chance The result of the survey is significant at the 0.01 level which means that the probability of group selection being the result of chance is 0.01 or less because the event is least likely to happen the group is more likely to select men over women.
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In the model below, a 5 kg object is moving with a speed of 10 m/s, and a 10kg object is moving with a speed of 5 m/s which object in the model has more kinetic energy
An object has mass 5 kg with a speed of 10 m/s has more kinetic energy.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A 5 kg object is moving with a speed of 10 m/s, and a 10kg object is moving with a speed of 5 m/s.
Now,
We know that;
⇒ Kinetic energy = 1/2 (mv²)
Where, m is mass and v is speed of the object.
So, For an object with 5 kg mass and moving with a speed of 10 m/s.
Kinetic energy = 1/2 (mv²)
= 1/2 (5 × 10²)
= 250 J
And, For an object with 10 kg mass and moving with a speed of 5 m/s.
Kinetic energy = 1/2 (mv²)
= 1/2 (10 × 5²)
= 125 J
Thus, An object has mass 5 kg with a speed of 10 m/s has more kinetic energy.
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If the mean of a normal distribution is negative, Group of answer choices the variance must also be negative. none of these alternatives is correct. a mistake has been made in the computations, because the mean of a normal distribution cannot be negative. the standard deviation must also be negative.
The main answer to the question is: None of these alternatives is correct. If the mean of a normal distribution is negative, the variance must not be negative. The explanation to support the answer is given below:
Normal distribution is a statistical distribution that depicts how values are dispersed in a dataset. It is also known as Gaussian distribution or bell curve because of its bell-shaped pattern. It is described by two parameters, i.e., mean and standard deviation.The mean of a normal distribution specifies the location of the center of the distribution. The variance of a normal distribution indicates the amount of variation from the mean. Variance is always positive, no matter whether the mean is positive or negative.
Therefore, if the mean of a normal distribution is negative, the variance must not be negative.Hence, none of these alternatives is correct. If the mean of a normal distribution is negative, the variance must not be negative.
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Find a nonzero vector orthogonal to the plane through the point P(0, 0, -3), Q(4,2, 0), and R(3, 3, 1). Find the area of the triangle PQR
a) Nonzero vector orthogonal to the plane through the point P(0, 0, -3), Q(4,2, 0), and R(3, 3, 1) would be (12, -6, -12)
b) Area of the triangle PQR would be 4.18
What is nonzero vector of orthogonal ?
Taking the cross product of two vectors in the plane yields a non-zero vector orthogonal to the plane across the points. Calculate the difference vector of two of the points, then take the cross product of that difference vector with the difference vector of the third point.
a) A nonzero vector orthogonal to the plane through the points P, Q, and R can be found by taking the cross product of two nonparallel vectors in the plane.
For example, the vector PQ = (4, 2, 0) - (0, 0, -3) = (4, 2, 3) and PR = (3, 3, 1) - (0, 0, -3) = (3, 3, 4). The cross product of these vectors is orthogonal to the plane:
PQ x PR = (12, -6, -12)
2) The area of triangle PQR can be found using the cross product formula for the area of a parallelogram. The area is given by the magnitude of the cross product of two sides of the triangle:
\(Area =\frac{ |PQ * PR| }{2}\\\\Area =\frac{\sqrt{(12^2 + (-6)^2 + (-12)^2)} }{2}\\\\Area =3 * \sqrt(10) / 2\\\\Area =4.18\)
Thus, Nonzero vector orthogonal to the plane through the point P(0, 0, -3), Q(4,2, 0), and R(3, 3, 1) would be (12, -6, -12) and area of the triangle PQR would be 4.18.
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27 similar cubes have a total volume of 3375 cm3. what is the edge of 1 cube?
The edge length of each cube, out of 27 similar cubes with a total volume of 3375 cm³, is 5 cm.
To find the edge length of one cube, we can divide the total volume of the cubes by the number of cubes.
Given:
Total volume of 27 cubes = 3375 cm³
We need to find the edge length of one cube.
Let's denote the edge length of one cube as "x."
The volume of a cube is calculated by taking the cube of its edge length:
Volume of one cube = x³
Since we have 27 cubes with the same edge length, the total volume is the sum of the volumes of all the cubes:
Total volume of 27 cubes = Volume of one cube × Number of cubes
3375 cm³ = x³ × 27
To solve for x, we divide both sides of the equation by 27:
3375 cm³ / 27 = x³
125 cm³ = x³
Taking the cube root of both sides gives us:
∛125 cm³ = ∛x³
5 cm = x
Therefore, the edge length of one cube is 5 cm.
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PLEASE HELP SOVOR THIS MATH PROBLEM!
the range of feasible values for the multiple coefficient of correlation is from ________.
The range of feasible values for the multiple coefficients of correlation is from -1 to 1.
The multiple coefficients of correlation, also known as the multiple R or R-squared, measures the strength and direction of the linear relationship between a dependent variable and multiple independent variables in a regression model. It quantifies the proportion of the variance in the dependent variable that is explained by the independent variables.
The multiple coefficients of correlation can take values between -1 and 1.
A value of 1 indicates a perfect positive linear relationship, meaning that all the data points fall exactly on a straight line with a positive slope.
A value of -1 indicates a perfect negative linear relationship, meaning that all the data points fall exactly on a straight line with a negative slope.
A value of 0 indicates no linear relationship between the variables.
Values between -1 and 1 indicate varying degrees of linear relationship, with values closer to -1 or 1 indicating a stronger relationship. The sign of the multiple coefficients of correlation indicates the direction of the relationship (positive or negative), while the absolute value represents the strength.
The range from -1 to 1 ensures that the multiple coefficients of correlation remain bounded and interpretable as a measure of linear relationship strength.
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we have not defined the space c 1 (s 1 ) of continuously differentiable real valued functions with domain the unit circle. how would you define such a space? g
The space C1(S1) is a Banach space, which means it is a complete normed vector space, equipped with the norm ||f|| = sup{|f(θ)| + |f'(θ)| : θ ∈ S1}.
The space C1(S1) is the space of continuously differentiable real-valued functions defined on the unit circle S1, which is a subset of the complex plane given by the equation |z| = 1, where z is a complex number.
Specifically, a function f: S1→R belongs to C1(S1) if it has a continuous first derivative f': S1→R that also belongs to C(S1), the space of continuous real-valued functions defined on S1.
Formally, we can define the space C1(S1) as follows:
C1(S1) = {f: S1→R | f is continuously differentiable on S1 and f' belongs to C(S1)}
Here, f' denotes the first derivative of f, which is defined as the limit:
f'(θ) = lim [f (θ + h) - f(θ)]/h
h→0
for all θ in S1
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Simplify by finding the product of the polynomials below. Then Identify the degree of your answer. When typing your answer use the carrot key ^ (press shift and 6) to indicate an exponent. Type your terms in descending order and do not put any spaces between your characters. (12-4x)^2 This simplifies to: AnswerThe degree of our simplified answer is:
We are asked to simply the following polynomial
\((12-4x)^2\)Let us find the product of the above polynomial and simplify it
\(\begin{gathered} (12-4x)^2 \\ (12-4x)\cdot(12-4x) \\ 12\cdot12+12\cdot(-4x)-4x\cdot12-4x\cdot(-4x) \\ 144-48x-48x+16x^2 \\ 144-96x+16x^2 \\ 16x^2-96x+144 \end{gathered}\)Therefore, the simplified polynomial is
\(16x^2-96x+144\)The degree of a polynomial is the highest exponent (power)
For the given case, the highest exponent is 2
Therefore, the degree