The correct basis step for proving the statement P(n) using strong induction is to show that P(8) is true
Strong induction is a method of proving that a statement is true for all values of n by demonstrating that it is true for a base case and that if it is true for all values up to n, then it must also be true for n+1. It can be used to prove the statement P(n) that a postage of n cents can be formed using only 3-cent stamps and 5-cent stamps.
To demonstrate that P(8) is true is to do the proper basis step for strong induction. This is so that we may create an 8 cent postage using a 3-cent and a 5-cent stamp.
The following argument can be used to demonstrate that the basic step is P(8) being true:
A postage of 8 cents can be made with one 3-cent stamp and one 5-cent stamp.
Thus, P(8) must be true.
We don't need to check any other values for the base step because P(n) only depends on the values of P(k), where k n.
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Can someone please help me on this?
Answer:
For problem a: 0,4 0,5 0,6
For Problem B: 1,0 2,0 3,0
Step-by-step explanation:
Graph each equation on a graph Figure out either solid or dotted line. Then depending on <=,<,>,>= is whre you shade on your graph. The spot where both lines meet when shaded is your solution area and you pick any spot on that. You can check your answer by plugging in ordered pairs for your X,Y values in the system.
can someone help me please i don't understand this
The transformation that would not result in a congruent figure when performed on triangle RST is A. A dilation by a scale factor of 2 with respect to point R.
The equation that has the same solution as the system of equations is C. 4x + 9y = 10
4x + 6y = 24.
Which transformations changes congruency ?Transformations that change the shape or size of a figure can change its congruency. A dilation is a transformation that changes the size of a figure so this would mean that RST dilated would not result in a congruent figure.
How to find the equation?When the system of equations, 4x + 9y = 10, 2x + 3y = 12 is solved, we find that x = 13 and y = - 14/ 3.
Options A,B, and D cannot have the same value because the numbers are the same and so they should have different values., Only option C can be the same and when the values are slotted in, this is proven.
Option C, 4x + 9y = 10 , 4x + 6y = 24 is therefore correct.
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You have a bag of 10 marbles. Three of them are red, five are blue, and two are green. What is the probability of randomly picking a green or blue marble out of the bag?
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Question
You have a bag of 10 marbles. Three of them are red, five are blue, and two are green. What is the probability of randomly picking a green or blue marble out of the bag?
You have a bag of 10 marbles. Three of them are red, five are blue, and two are green. The probability of randomly picking a green or blue marble out of the bag is 7/10, 0.7 or 70%.
Given that,
there is a bag containing 10 marbles, out of which 3 are red, 5 are blue and 2 are green, and
we are supposed to find the probability of picking a green or blue marble out of the bag.
Probability is defined as the likelihood of an event occurring out of all the possible outcomes.
It is represented in the form of a fraction, decimal or percentage.
So, in order to find the probability of picking a green or blue marble out of the bag, we need to first find the total number of marbles in the bag, then the number of marbles that are green or blue, and then divide the number of green or blue marbles by the total number of marbles.
Let us calculate the probability of picking a green or blue marble from the bag.
Total number of marbles in the bag = 10
Number of green or blue marbles in the bag
= 5 + 2 = 7
Now,
the probability of picking a green or blue marble out of the bag
= Number of green or blue marbles in the bag / Total number of marbles in the bag= 7 / 10
The probability of picking a green or blue marble out of the bag is 7/10.
This can also be expressed as a decimal value of 0.7 or as a percentage of 70%.
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help me with this or u an opp
Answer:
To find the year when 164 billion dollars was spent on advertising, we need to solve the equation y = 164 for x, where y is the amount of money spent on advertising and x is the number of years since 1990.
Substituting y = 164 into the given equation, we have:
164 = 0.937 + 2.2x + 130
Simplifying the equation, we get:
2.2x = 164 - 0.937 - 130
2.2x = 33.063
x = 15.03
So, 164 billion dollars was spent on advertising 15.03 years after 1990. To find the year, we add 15.03 to 1990:
1990 + 15.03 = 2005.03
Since we are looking for a year within the range of 1990-2000, we round down to the nearest whole number:
2005.03 rounded down to the nearest whole number is 2005.
Therefore, 164 billion dollars was spent on advertising in the year 2005, which is outside the given range. Therefore, the answer is none of the options provided.
i need help ASAP
Classify the triangle
A acute, scalene
B obtuse, scalene
C obtuse, isosceles
D right, scalene by its sides and by its angles
please help me solve this i’ll mark brainliest
Answer:
Step-by-step explanation:
From the parallel lines, we know that corresponding angles are congruent, so:
(2y+78) = X
We also know that vertically opposite angles are equal:
X=5y
Substitute for X:
2y+78=5y
Solve:
2x-5x=-78
-3x=-78
x=26
Therefore, the measure of angle WXZ is 26.
Help I don’t have a clue ?
Answer: Yes
Step-by-step explanation:
Because she tested it more times, her results should (in theory) be more accurate, due to more tests leading to the results being more diverse. The results indicate that one side of the coin (the tails side) is more likely to land down, which leads the head side up.
In an experiment, a fair four-sided die (its faces are labeled 0, 1, 2, 3) is thrown once. The outcome of the throw determines how many times a fair coin is to be flipped: if N is the number that results from throwing the die, we flip the coin N times. Let K be the total number of heads resulting from the coin flips. Suppose the die roll results in a 2. What form does the conditional distribution of distribution along with its parämeters calculated the probabilities in the table a) K have given that N-2? You don't need to calculate anything. Just state the b) Fill in this table for the joint PMF of N and K. Show your work for how you I k 0 2 3 c) Using the joint PMF, obtain the marginal for N. Show your work. d) Using the joint PMF, obtain the marginal for K. Show your work. e) What is the conditional PMF of N given K-2? i.e., what is pNk(njk-2)? Show your work f) Are N and K independent? Show work to support your answer
For N and K to be independent, the joint probability mass function should factorize into the product of the marginal probability mass functions:
P(N=n,K=k) = P(N=n) * P(K=k)If this condition is not satisfied, then N and K are dependent.
The distribution of K given that N=2 can be calculated using the conditional probability formula:
P(K=k|N=2) = P(K=k and N=2) / P(N=2)
Let X be the outcome of the coin flip. Then the joint probability mass function of N and K can be expressed as:
P(N=n,K=k) = P(X=0) for n=0 and k=0
P(N=n,K=k) = P(X=1) for n=1 and k=0, 1
P(N=n,K=k) = P(X=2) for n=2 and k=0, 1, 2
P(N=n,K=k) = P(X=3) for n=3 and k=0, 1, 2
The marginal probability mass function of N can be obtained by summing over all possible values of K:
P(N=n) = P(N=n,K=0) + P(N=n,K=1) + P(N=n,K=2)
The marginal probability mass function of K can be obtained by summing over all possible values of N:
P(K=k) = P(N=0,K=k) + P(N=1,K=k) + P(N=2,K=k) + P(N=3,K=k)
The conditional probability mass function of N given that K=2 can be calculated using Bayes' theorem:
P(N=n|K=2) = P(K=2|N=n) * P(N=n) / P(K=2)
For N and K to be independent, the joint probability mass function should factorize into the product of the marginal probability mass functions:
P(N=n,K=k) = P(N=n) * P(K=k)
If this condition is not satisfied, then N and K are dependent.
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Help againnnn pleaseeee
Answer:
20- gon
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
given the sum of the interior angles is 3240° , then
180° (n - 2) = 3240 ( divide both sides by 180° )
n - 2 = 18 ( add 2 to both sides )
n = 20
then the polygon is a 20- gon
please answer with explanation!
The maximum value of f on the given region is 9 and the minimum value of f is 25.
Describe Function?In plainer terms, a function creates an output in response to an input. As an illustration, the formula f(x) = x2 takes the input value x, squares it, and outputs the square of x. The set of all potential output values is referred to as the range, while the set of input values that can be employed with a specific function is referred to as the domain.
In order to simulate real-world processes and make predictions, functions are frequently employed in mathematics, physics, engineering, and many other disciplines. They can be represented by mathematical equations, tables, or graphs, and can take on a variety of shapes, such as linear, quadratic, exponential, trigonometric, and many more.
We need to find the extreme values of the function f(x,y) subject to the constraint x² + y² <= 16. We can use the method of Lagrange multipliers to solve this problem.
Let g(x,y) = x² + y² - 16, then the Lagrangian function is given by:
L(x,y,λ) = f(x,y) - λg(x,y)
= 2x² + 3y² - 4x - 7 - λ(x² + y² - 16)
Taking partial derivatives of L(x,y,λ) with respect to x, y and λ, and equating them to zero, we get:
∂L/∂x = 4x - 4λx = 0
∂L/∂y = 6y - 4λy = 0
∂L/∂λ = x² + y² - 16 = 0
Solving these equations, we get two critical points:
(2/λ, 0, λ) and (-2/λ, 0, λ)
To find the extreme values of f, we need to evaluate f at these critical points and at the boundary of the region x² + y² = 16.
At the critical points, we have:
f(2/λ, 0) = -7 - 16λ/3
f(-2/λ, 0) = -7 - 16λ/3
At the boundary, we have:
f(x,y) = 2x² + 3y² - 4x - 7
= 2x² + 3(16 - x²) - 4x - 7 (substituting y² = 16 - x²)
= -x² - 4x + 41
To find the extreme values, we need to compare the values of f at these points:
f(2/λ, 0) = f(-2/λ, 0) = -7 - 16λ/3
f(x,y) = -x² - 4x + 41
Now, we need to find the maximum and minimum values of f on the given region. Since the coefficient of x² is negative, the maximum value of f occurs at the boundary of the region, where x = ±4. Therefore, the maximum value of f is:
f(4,0) = -4² - 4(4) + 41 = 9
To find the minimum value of f, we need to compare the values of f at the critical points and the boundary. Since the coefficient of x² is negative, we can see that f(2/λ, 0) and f(-2/λ, 0) approach -∞ as λ → 0. Therefore, the minimum value of f occurs at the boundary of the region, where x = ±4. Therefore, the minimum value of f is:
f(-4,0) = -(-4)² - 4(-4) + 41 = 25
Hence, the maximum value of f on the given region is 9 and the minimum value of f is 25.
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Mr. Clark has these two spinners. A student wins a prize by spinning a 1 or an X. Nathan spins both spinners one time. How many possible outcomes will include a 1 or an X?
There are two possible outcomes that include a 1 or an X.
How to determine the number of possible outcomes that include a 1 or an X.
First we need to count the number of outcomes on both spinners that have a 1 or an X.
Spinner 1 has 3 possible outcomes: 1, 2, or 3.
Spinner 2 has 4 possible outcomes: X, Y, Z, or W.
To find out how many possible outcomes will include a 1 or an X, we can use the principle of inclusion-exclusion. We start by adding the number of outcomes on each spinner that have a 1 or an X:
Number of outcomes on spinner 1 that have a 1: 1Number of outcomes on spinner 2 that have an X: 1Total number of outcomes that have a 1 or an X: 1 + 1 = 2However, we need to subtract the number of outcomes that have both a 1 and an X, as we have counted these twice:
Number of outcomes that have both a 1 and an X: 0
Therefore, the total number of possible outcomes that include a 1 or an X is:
2 - 0 = 2
So, there are two possible outcomes that include a 1 or an X.
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there are three urns, each with 6 red balls, 3 brown balls, and 8 purple balls. you draw 1 ball from the first urn, 2 from the second, and 3 from the third, and set all 6 aside. what is the probability that exactly 4 are red?
The probability of drawing exactly four red balls when drawing six balls from three urns, each with 6 red balls, 3 brown balls, and 8 purple balls is 0.3147 or 31.47%.
The probability of drawing exactly four red balls when drawing six balls from three urns, each with 6 red balls, 3 brown balls, and 8 purple balls is calculated using the following equation:
P(4 red balls) = (6C4) × (3C2) × (8C0)/(17C6)
Where C denotes the combination and the denominator represents the total possible outcomes.
In this case, the numerator consists of three parts, the first being the combination of four red balls from the first urn (6C4) where 6 represents the total number of red balls, and 4 represents the number of red balls chosen. The second part is the combination of two brown balls from the second urn (3C2) where 3 is the total number of brown balls, and 2 is the number of brown balls chosen. The last part is the combination of zero purple balls from the third urn (8C0) where 8 is the total number of purple balls and 0 is the number of purple balls chosen.
Finally, the denominator represents the total number of possible outcomes when drawing 6 balls from 17 balls (17C6) where 17 is the total number of balls, and 6 is the total number of balls drawn.
The probability of drawing four red balls is 0.3147 or 31.47%.
Therefore, the probability of drawing exactly four red balls when drawing six balls from three urns, each with 6 red balls, 3 brown balls, and 8 purple balls is 0.3147 or 31.47%.
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which formula represents the volume of a cyclinder
Answer:
[tex]\pi r^2h[/tex]
Step-by-step explanation:
A cylinder is a surface or solid bounded by two parallel planes and generated by a straight line moving parallel to the given planes and tracing a curve bounded by the planes and lying in a plane perpendicular or oblique to the given planes
The formula for calculating the volume of a cylinder is similar to calculating the volume of a cube. The volume of a cube is equal to the Area of the Base (length times width) times the height of the cube.
[ V = (L x W) x H ] or [ V = A x H ]
The volume of a cylinder is the Area of the Base times the Height of the Cylinder
[ V = A x H ].
The Base of a cylinder is a circle. The formula for calculating the Area of a Circle is the constant Pi (∏) times the square of the Radius
[ A = ∏ x R² ]
and the formula for calculating the Radius of a Circle is the Diameter divided by 2
[ R = 1/2D ].
Therefore the formula for calculating the volume of the cylinder is
[ V = (∏ x (1/2D)² ].
The data to the right represent the number of chocolate chips per cookie in a random sample of a name brand and a store brand. Complete parts (a) to (c) below.(a) Draw side-by-side boxplots for each brand of cookie. Label the boxplots "N" for the name brand and "S" for the store brand. Choose the correct answer below.(b) Does there appear to be a difference in the number of chips per cookie?(c) Does one brand have a more consistent number of chips per cookie?
(a) Since I cannot draw boxplots in text, I recommend using a boxplot tool, such as a graphing calculator, Excel, or an online boxplot generator. Input the data for each brand and create side-by-side boxplots, labeling them "N" for the name brand and "S" for the store brand.
(b) To determine if there is a difference in the number of chips per cookie between the two brands, compare the median values, the range, and the interquartile range of each brand's boxplot. If these values differ significantly, then there is a difference in the number of chips per cookie between the two brands.
(c) To determine which brand has a more consistent number of chips per cookie, compare the interquartile ranges (IQR) of each brand's boxplot. The brand with the smaller IQR has a more consistent number of chips per cookie, as the IQR measures the spread of the middle 50% of the data.
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Find the percent of kci by a mass of a solution of 2 moles of kci dissolved in 1 liter of pure water (h2o). round to 1 decimal place. (k=39,ci=35)
13.0% of kci by a mass of a solution of 2 moles of kci dissolved in 1 litres of pure water
To find the percent of KCI in a solution of 2 moles of KCI dissolved in 1 liter of pure water (H2O), we first need to calculate the molar mass of KCI.
Molar mass of KCI = atomic mass of K + atomic mass of Cl = 39 + 35.5 = 74.5 g/mol
Next, we need to calculate the mass of KCI in the solution using the formula:
mass = moles x molar mass
mass of KCI
= 2 moles x 74.5 g/mol
= 149 g
Finally, we can calculate the percent of KCI in the solution using the formula:
percent of KCI = (mass of KCI / total mass of solution) x 100%
The total mass of the solution is equal to the mass of KCI plus the mass of water, which is:
total mass of solution
= 149 g + 1000 g
= 1149 g
So, the percent of KCI in the solution is:
percent of KCI
= (149 g / 1149 g) x 100%
= 12.96%
Rounding to one decimal place, the percent of KCI in the solution is approximately 13.0%.
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Subtract.
(x + 1) − (−2x − 5)
Answer:
Answer: 3x+6
Step-by-step explanation:
= x+1+2x+5
= 3x+6
Answer:
3x + 6
Step-by-step explanation:
you have to distribute the negative to get the parentheses away and simplify
Find the slope of the line that passes through A(3 , 7) and B(2, 2).
Answer:
5
Step-by-step explanation:
To find the slope, we will use this equation.
[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} } = m[/tex]
m = slope
When we plug in the values of y2, y1, x2, and x1, we get this:
[tex]\frac{2-7}{2-3} = m[/tex]
when we simplify:
[tex]\frac{-5}{-1}[/tex]
-5 / -1 = 5 / 1 = 5
The slope is 5.
A three-column table is given.
Part 8 B D
Part 10 15 45
Whole A C 81
What is the value of C in the table?
18
27
24
71
Using the proportionality we know that 24 is the value of C.
What is proportionality?Every relationship that has a constant ratio is said to be proportionate.
For instance, the ratio of proportionality is the average number of apples per tree, and the amount of apples in a crop is proportional to the number of trees in the orchard.
An illustration would be the ratio of a circle's circumference to its diameter, which is equal to pi.
So, the table is as follows:
Part 8 B D
Part 10 15 45
Whole A C 72
Due to the fact that the two parts will be proportional to the whole.
Then,
C /72 = 15/45
C = 72/3
C = 24
Therefore, using the proportionality we know that 24 is the value of C.
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Pls help I need this today
Answer:
In a 45° 45° 90° triangle, the two legs are congruent and the hypotenuse is √2 times the length of each leg.
Let x be the length of each leg.
Then, using the Pythagorean theorem, we have:
x^2 + x^2 = 24^2
2x^2 = 576
x^2 = 288
x = √288 = 12√2
Therefore, the length of each leg is 12√2.
Answer:
each leg is 16.97
Step-by-step explanation:
[tex]\frac{24}{\sqrt{2} }[/tex] = 16.97
4. Small amounts of weight are often measured in grams or ounces. Recall from Exercise #6
that there are 16 ounces per pound. Grams are even smaller. Camilla weighs an onion and
finds that it is 112 grams. On another scale, she finds that it weighs four ounces.
(a) Using the information from Camilla's onion,determine the ratio of grams to ounces.State as a unit rate using proper “per” units
Thus, Camilla's onion weighs about 28 grammes per ounce in terms of grammes to ounces.
What exactly is weight?Weight is the force of gravity that pulls objects towards the centre of the Earth. The resulting force that pulls a substance towards Earth is known as gravity. In contrast to gravity force, which occurs among any two masses, this only occurs between Planet and a mass.
To convert from grams to ounces, we can use the conversion factor of 1 ounce = 28.35 grams. Therefore:
1 gram = 1/28.35 ounces
To find the ratio of grams to ounces for Camilla's onion, we can divide the weight in grams by the weight in ounces:
112 grams ÷ 4 ounces ≈ 28 grams per ounce
So the ratio of grams to ounces for Camilla's onion is approximately 28 grams per ounce.
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Determine the value of X
Answer:
x = 26.
Step-by-step explanation:
Given: 2x + 3x + 50 = 180
First, write it down:
2x + 3x + 50 = 180
Then, collect like terms:
2x + 3x = 180 - 50
Then calculate:
5x = 130 (Divide both sides by 5)
x = 26
What is the value of (-14^0)^-2 a) 1/-196 b)1/196 c) 0 d) 1
From the given information provided, the value of the expression (-14⁰)⁻²
is 1 that is option d.
We need to follow the order of operations, which is to evaluate any exponents first, before performing any other operations.
Exponent rules are mathematical rules that describe how to simplify expressions that involve exponents.
(-14⁰)⁻² can be simplified as follows:
(-14⁰)⁻² = (-1)⁰ × 14⁰ × (-1)⁻² [Using the rule ([tex]a^m[/tex])ⁿ = [tex]a^(m*n)[/tex]]
(-14⁰)⁻² = 1 × 1 × 1/(-1)⁻² [Using the rule a⁰ = 1]
(-14⁰)⁻² = 1 × 1 × 1/1
(-14⁰)⁻² = 1
Therefore, the value of (-14⁰)⁻² is 1. Answer: d) 1
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Solve this quadratic equation.
x⁴ - x³ - 4x² - x + 1 = 0 is the solution of quadratic equation.
What in mathematics is a quadratic equation?
A quadratic equation is a second-order polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0. Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution.
The answer could be simple or complicated. The equation of the second degree is a quadratic equation. This indicates that it contains a phrase that is squared, at least once.
x² + 1/x² - x - 1/x - 4 = 0
x⁴ + 1 -x³ - x - 4x²/x² = 0
x⁴ - x³ - 4x² - x + 1 = 0
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For each of the following quadratic equations written in standard form, y = ax² + ba+c, enter the values of a, b, and c in order, separated by commas. a) y = 3x² - 8x +1 b) y = 4x² - 3 c) y = 8x² + 2x
Answer:
Step-by-step explanation:
[tex]y=ax^2+bx+c[/tex]
a) [tex]a=3,b=-8,c=1[/tex]
b) [tex]a=4,b=0,c=-3[/tex]
c) [tex]a=8,b=2,c=0[/tex]
About 32,000 people in a region with an area 201 square miles. Find the population density in a people per square mile.
The population density of the people living in the given square area would be = 159.20 persons pre square miles.
What is population density?Population density can be defined as the amount of people that can be found in a unit area of a land.
Population density is found by dividing the total population by the total land area.
The total population of the region = 32,000 people
The total land area = 201 miles².
Therefore the population desity = 32,000/201 = 159.20 persons pre square miles.
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Five interior angles of a hexagon measure 119°, 129°, 104°, 139°, and 95°. What is the measure of the sixth angle?
Answer:
A
Step-by-step explanation:
explain the difference between cardinality and join type. describe why one-to-many cardinality is often handled using a one-to-one join.
The difference between cardinality and join type is that cardinality describes the relationship between two data tables, while join type is the specific method used to combine the two tables.
Cardinality defines the maximum number of records that can exist in one table for a relationship with another table. Cardinality can be either one-to-one, one-to-many, or many-to-many.
A one-to-many cardinality relationship is when one record in one table can be related to multiple records in another table. For example, a customer can have multiple orders. In this situation, a one-to-one join type is often used because it is the most efficient way to retrieve the related data. This is because one-to-one join type only requires that one record be searched, while a one-to-many join type would require that multiple records be searched in order to find the related records. Additionally, a one-to-one join type ensures that no duplicate records will be returned in the result.
In summary, cardinality describes the relationship between two tables while join type is the specific method used to combine the two tables. A one-to-many cardinality relationship is when one record in one table can be related to multiple records in another table. To efficiently retrieve the related data, a one-to-one join type is often used. This is because it only requires that one record be searched and it ensures that no duplicate records will be returned in the result.
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ten families have an average of 2 children per family. if exactly two of these families are childless, what is the average number of children in the families with children? express your answer as a decimal to the nearest tenth.
Answer:
Step-by-step explanation:
If there are ten families and exactly two of them are childless, then there are 10 - 2 = 8 families with children.
The total number of children in these families is 8 x 2 = 16.
Therefore, the average number of children in the families with children is:
16 / 8 = 2
So the average number of children in the families with children is 2.0 (to the nearest tenth).
The average number of children in the families with children is 2.2.
To calculate this, first we need to determine the total number of children in the ten families. Since each family has an average of 2 children, this means that the total number of children in the ten families is 10 x 2 = 20.
Since two of these families are childless, this means that the total number of children in the remaining 8 families is 20 – 0 = 20.
Now, we need to determine the average number of children in the 8 families with children. To do this, we divide the total number of children (20) by the number of families with children (8):
20/8 = 2.5
Finally, we express the answer to the nearest tenth, which is 2.2.
In conclusion, the average number of children in the families with children is 2.2.
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The length of the radius of a cylinder is twice its height. If its volume is 864x in', what is the
length of its radius?
A. 3 inches
B.6 inches
C. 12 inches
D. 24 inches
Answer: C. 12 inches
Step-by-step explanation: Let's use the formula for the volume of a cylinder, which is:
V = πr^2h
where V is the volume, r is the radius, and h is the height.
We ar given that the length of the radius is twice the height, which can be written as:
r = 2h
We are also given the volume of the cylinder, which is 864 cubic inches. Substituting the given values, we get:
864 = π(2h)^2h
Simplifying and solving for h:
864 =4πh^3
h^3 = 864/(4π)
h = 6
Now that we know the height of the cylinder is 6 inches, we can find the radius using the equation r = 2h:
r = 2(6) = 12 inches
Therefore, the length of the radius of the cylinder is 12 inches, which is option C.
Factor out the GCF from the polynomial.
3x³y² - 9xz4 + 8y²z
The expression 3x³y² - 9xz⁴ + 8y²z have no GCF greatest common factor but the terms 3x³y² and 8y²z have GCF equal to y².
What is (GCF) greatest common factor?The GCF defines the highest common factor present in between given two or more numbers or algebraic expressions.
we shall determine the GCF greatest common factor for the algebraic expression 3x³y² and 8y²z as follows:
3x³y² = y² × 3x³
8y²z = y² × 8z
both terms 3x³y² and 8y²z have y² common to them, so we can write;
3x³y² + 8y²z = y² × 3x³ + y² × 8z
3x³y² + 8y²z = y²(3x³ + 8z)
In conclusion, the expression 3x³y² - 9xz⁴ + 8y²z have no GCF greatest common factor but the terms 3x³y² and 8y²z have GCF equal to y².
Know more about GCF here:https://brainly.com/question/21504246
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