Which ordered pairs are on the graph of 7x−y=2?
Select ALL that applies.
A. >>(−3,−19)open paren negative 3 comma negative 19 close paren
B. (−1,−9)open paren negative 1 comma negative 9 close paren
C. (0,−2)open paren 0 comma negative 2 close paren
D. (1, 9)(1, 9)
(3, 23)(3, 23)
Answers
The ordered pairs which are on the graph of 7x - y = 2 as required in the task content are; Choices B and C; (-1, -9) and (0, -2).
Which ordered pairs are on the graph of 7x - y = 2 as required in the task content?It follows from the task content that the ordered pairs which are on the graph of 7x - y = 2 be determined.
Hence, by testing each pair as follows; we have;
For (-3, -19); we have; 7(-3) - (-19) = 2; -21 + 19 = 2; -2 ≠ 2. Hence, FALSE.For (-1, -9); we have; 7(-1) - (-9) = 2; -7 + 9 = 2; 2 = 2. Hence, TRUE.For (0, -2); we have; 7(0) - (-2) = 2; 0 + 2 = 2; 2 = 2. Hence, TRUE.For (1, 9); we have; 7(1) - (9) = 2; 7 - 9 = 2; -2 ≠ 2. Hence, FALSE.For (3, 23); we have; 7(3) - (23) = 2; 21 - 23 = 2; -2 ≠ 2. Hence, FALSE.Ultimately, the required ordered pairs are; (-1, -9) and (0, -2).
Read more on ordered pairs;
https://brainly.com/question/24880873
#SPJ1
Related Questions
use inductive reasoning to prove that if the sum of all the digits of a number are divisible by 9 then the number itself is divisible by 9 (let n be the number of digits)
Answers
Sum of all the digits of a number are divisible by 9.
How to prove that if the sum of all the digits of a number are divisible by 9?Base Case:
Let's consider a single-digit number, say 9. The sum of its digits is 9, which is divisible by 9, and the number itself is also divisible by 9. So, the statement holds true for the base case.
Inductive Hypothesis:
Let's assume that the statement holds true for a number with n digits, where n is some positive integer.
Inductive Step:
Now, we need to prove that the statement also holds true for a number with (n+1) digits. Let's consider such a number, say M, with (n+1) digits. We can write M as follows:
\(M = a_n * 10^n + a_{n-1} * 10^{n-1} + ... + a_1 * 10 + a_0\)
where a_n, a_{n-1}, ..., a_1, a_0 are the digits of the number M.
We know that the sum of all the digits of M is divisible by 9, so we can write:
\(a_n + a_{n-1} + ... + a_1 + a_0 = 9k\)
where k is some positive integer.
We can also write M as follows:
M = \(a_n * 10^n + a_{n-1} * 10^{n-1} + ... + a_1 * 10 + a_0= a_n * (10^n - 1) + a_{n-1} * (10^{n-1} - 1) + ... + a_1 * (10 - 1) + (a_0 + a_n + a_{n-1} + ... + a_1)\)
Now, we know that \(a_0 + a_n + a_{n-1} + ... + a_1\) is divisible by 9, so we can write:
M = \(a_n * (10^n - 1) + a_{n-1} * (10^{n-1} - 1) + ... + a_1 * (10 - 1) + 9j\)
where j is some positive integer.
We can simplify this expression as follows:
M = \(a_n * (10^n - 1) + a_{n-1} * (10^{n-1} - 1) + ... + a_1 * (10 - 1) + 9j= a_n * 10^n + a_{n-1} * 10^{n-1} + ... + a_1 * 10 + (a_n + a_{n-1} + ... + a_1 + a_0 - a_n - a_{n-1} - ... - a_1) + 9j\)
= \(a_n * 10^n + a_{n-1} * 10^{n-1} + ... + a_1 * 10 + (9k - a_n - a_{n-1} - ... - a_1) + 9j\)
= \(10(a_n * 10^{n-1} + a_{n-1} * 10^{n-2} + ... + a_1) + 9(k + j - a_n - a_{n-1} - ... - a_1)\)
We can see that the first term in this expression is divisible by 9.
Learn more about inductive reasoning
brainly.com/question/8419798
#SPJ11
If someone could help me out on these two questions that would be great! ( will mark brainliest if optional )
Answers
Answer:
Both answers are 47 degrees
Step-by-step explanation:
1. This is an isosceles triangle so the angle x is going to be the same as the opposite angle given which is 47. So x = 47 degrees
2. For this one, we are given the angle outside the same base angles so we take the 86 given from 180. 180-86=94. This 94 needs to be split between the two remaining angles so we divide it by 2. 94/2 = 47 degrees.
x=47
where ST=TU
angle TSU will equal to angle TUS
therefore you will have an equation 180-86=2c (angle sum of triangle)
Angie has spent $150 on birthday presents for her daughter so far. If this is 50% of what she plans to spend, how much money does she plan to spend?
Answers
Answer:
$300.00
Step-by-step explanation:
Since 50% means half, we can take the $150.00, and multiply it by two, getting $300.00.
Hope This Helped!state the definition of the directional derivative using the gradient vector of a function f(x,y). using the definition, show why the maximum rate of change always occurs in the direction of the gradient.
Answers
The maximum rate of change always occurs in the direction of the gradient.
The directional derivative of a function f(x, y) in the direction of a unit vector v = ⟨a, b⟩ is defined as follows:
D_vf(x, y) = ∇f(x, y) · v
∇f(x, y) represents the gradient vector of f(x, y), which is defined as ∇f(x, y) = ⟨∂f/∂x, ∂f/∂y⟩. It is a vector that points in the direction of the steepest ascent of the function at a given point (x, y).
v = ⟨a, b⟩ is the unit vector that determines the direction in which we want to compute the derivative.
To show why the maximum rate of change of a function always occurs in the direction of the gradient, we can use the definition of the directional derivative.
Let's consider the dot product ∇f(x, y) · v, where v is a unit vector:
∇f(x, y) · v = ||∇f(x, y)|| ||v|| cosθ
In this equation, ||∇f(x, y)|| represents the magnitude (or length) of the gradient vector, ||v|| is the magnitude of the unit vector v (which is 1), and θ is the angle between ∇f(x, y) and v.
Since ||v|| = 1, the equation simplifies to:
∇f(x, y) · v = ||∇f(x, y)|| cosθ
The maximum value of the cosine function is 1, which occurs when the angle θ between the vectors is 0° (or when they are parallel). In this case, cosθ = 1, and the equation becomes:
∇f(x, y) · v = ||∇f(x, y)||
Therefore, the maximum rate of change of the function f(x, y) occurs when the angle between the gradient vector ∇f(x, y) and the direction vector v is 0°, or when they are parallel. In other words, the maximum rate of change happens when we move in the direction of the gradient.
This result is intuitive since the gradient vector points in the direction of the steepest ascent of the function. Moving in the direction of the gradient allows us to maximize the rate of change of the function at a given point.
If we were to move in a different direction, the dot product would be smaller than the magnitude of the gradient vector, resulting in a slower rate of change.
Therefore, the maximum rate of change always occurs in the direction of the gradient.
To know more about maximum click here :
https://brainly.com/question/17019148
#SPJ4
In an office, there are 75 women and 125 men .Find the ratio of
the number of men to the number of women.
Answers
Given:
In an office, there are 75 women and 125 men.
To find:
The ratio of the number of men to the number of women.
Solution:
We have,
Number of men = 125
Number of women = 75
The ratio of the number of men to the number of women is:
\(\text{Required Ratio}=\dfrac{\text{Number of men}}{\text{Number of women}}\)
\(\text{Required Ratio}=\dfrac{125}{75}\)
\(\text{Required Ratio}=\dfrac{5}{3}\)
\(\text{Required Ratio}=5:3\)
Therefore, the ratio of the number of men to the number of women is 5:3.
16. Determine if each graph pictured below represents a function and explain your reasoning.Graph A and B are functions because each x-value is represented only once.Neither Graph A or Graph B are functions because both fail the vertical line test.Graph A is a function because each x-value is represented only once. Graph B is not a function because it does not pass the vertical line test.Graph A is not a function because it does not pass the vertical line test. Graph B is a function because it passes the vertical line test.
Answers
Graph A is a function because each x-value is represented only once.
Graph B is not a function because it does not pass the vertical line test.
what is the probability rule for deciding whether events a and b are independent
Answers
Events A and B are considered independent if and only if the probability of their intersection (P(A ∩ B)) is equal to the product of their individual probabilities (P(A) * P(B)).
Independence: Two events A and B are independent if the occurrence or non-occurrence of one event does not affect the probability of the other event.
Joint Probability: The joint probability P(A ∩ B) represents the probability of both events A and B occurring together.
Multiplication Rule: According to the multiplication rule for independent events, if events A and B are independent, the probability of their intersection is equal to the product of their individual probabilities.
P(A ∩ B) = P(A) * P(B)
Interpretation: If the equation holds true, events A and B are considered independent since the probability of their intersection can be determined solely by multiplying their individual probabilities.
Dependence: If the equation does not hold true, it implies that the occurrence of one event affects the probability of the other event, indicating dependence between the two events.
In summary, the multiplication rule for independent events states that events A and B are independent if and only if P(A ∩ B) = P(A) * P(B).
Know more about the joint probability click here:
https://brainly.com/question/32099581
#SPJ11
I don’t understand???
Answers
Answer:
C
Step-by-step explanation:
Its D because the arrow is facing away from 50 so that means she will have at least 50 then it says 6m and m stands for month soo 6 new shells every month and she already has 8. I hope my answer helps i might sound kinda confusing sorry
Question
In order to save for a new car, Charles adds money each month to a savings account which earns interest that is compounded monthly. Charles has created the expression 400((1+0.0212)12⋅3−10.0212) to calculate how much money he will have in his savings account when he is ready to purchase the car.
What do the values 400, 0.02, 12, and 3 represent in the expression?
Answers
Answer:
Step-by-step explanation:
PLEASE HELP ASAP
An element with a mass of 660 grams decays by 5.1% per minute. To the nearest tenth of a minute, how long will it be until there are 280 grams of the element remaining?
Answers
The time in minutes until there are 280 grams of the element remaining is given as follows:
16 minutes.
How to model the situation?A decaying exponential function is modeled as follows:
y = a(1 - r)^t.
In which the parameters are given as follows:
a is the initial amount.r is the decay rate, as a decimal.The parameter values for this problem are given as follows:
a = 660, r = 0.051.
Hence the function is modeled as follows:
y = 660(0.949)^t.
The time until there are 280 grams remaining is given as follows:
280 = 660(0.949)^t.
(0.949)^t = 280/660
tlog(0.949) = log(280/660)
t = log(280/660)/log(0.949)
t = 16 minutes.
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
a data analyst creates a scatterplot. the analyst wants to put a text label on the plot to call out specific data points. what function does the analyst use?
Answers
The analyst should use the alpha aesthetic. The alpha aesthetic makes some points on a plot more transparent than others to call out specific data points.
What is scatterplot?A set of points plotted on a horizontal and vertical axis is known as a scatter plot. Because they can demonstrate the degree of correlation, if any, between the values of observed quantities or phenomena, scatter plots are crucial in statistics (called variables). In an effort to demonstrate the degree to which one variable is influenced by another, scatter plots are used to plot data points on a horizontal and vertical axis. The values of the columns set on the X and Y axes determine the position of the marker that represents each row in the data table.
To know more about scatterplot,
https://brainly.com/question/25280625?referrer=searchResults
#SPJ4
Which value of k would cause the system of linear equations 35 x 14 y = 119 and 5 x 2 y = k to have an infinite number of solutions? 3 7 17 21.
Answers
To solve the question we must know about the System of equations.
System of equationInconsistent SystemA system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System1. Dependent Consistent SystemA system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent SystemA system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.
The value of k should be 17 so that the system of equations gives infinite number of solutions.
ExplanationGiven to us
35x + 14y = 1195x +2y = kAs we know that for a system of equations to give an infinite number of solutions. the equations of the system must be either same or in ratio.
In Equation 1\(35x + 14y = 119,\)
dividing both the sides of the equation by 7,
\(\dfrac{35x + 14y}{7} = \dfrac{119}{7}\\\\ \dfrac{35x}{7}+\dfrac{14y}{7} = \dfrac{119}{7}\\ 5x+2y = 17\)
As already discussed the system of equations to give infinite number of solutions, the equations must be the same. therefore, comparing both the equations we see that the value of k should be 17.
Hence, the value of k should be 17, so that the system of equations gives infinite number of solutions.
VerificationAs we can see in the below image on equating the value of k as 17, the line of the system of equations coincides, therefore, the system will have infinite number of solutions.
Learn more about System of Equations:
https://brainly.com/question/12895249
Answer:
answer is c
Step-by-step explanation:
i took the test on edge and i passed it. good luck
Shakeva buys a car for $41.9K. Her state charges a 5% sales tax, $27 for registration, $19 for a new title certificate, and $45 for a state safety and emissions inspection. How much will she owe in total for the purchase of the car, including all the fees?
Answers
Answer:
Shakeva will pay $44,086 for the purchase including all the fee.
Step-by-step explanation:
Given that:
Cost of car = $ 41.9K = 41.9*1000 = $41900
Sales tax = 5%
Sales tax = 0.05 * 41900 = $2095
Registration = $27
New title certificate = $19
State safety and emissions inspection = $45
Total amount = 41900 + 2095 + 27 + 19 + 45 = $44086
Hence,
Shakeva will pay $44,086 for the purchase including all the fee.
4. Komal sells five cups of hot chocolate for R30.
She writes the record of her sales in the equation 5x = 30.
If x is the cost of each cup of hot chocolate, at what price did
Komal sell each cup?
Answers
Answer:
R6 for each cup
Step-by-step explanation:
5x=30
Divide 5 from both sides
5x/5=30/5
x=6
Hope this helps
A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. \( 87,87,215,154,288,235,231 \) Find the median number of newspapers sold.
Answers
The median number of newspapers sold over seven weeks is 223.
The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.
The formula for the median is as follows:
Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)
We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288
The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.
Median = (215 + 231)/2
= 446/2
= 223
In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.
Hence, the median number of newspapers sold over seven weeks is 223.
To know more about the median, visit:
brainly.com/question/300591
#SPJ11
What is -7 + 1/3?
Answers:
-7 1/3
-6 2/3
6 2/3
7 1/3
Answers
Answer:
-6 2/3
Step-by-step explanation:
Answer
- 6 2 / 3
Step-by-step explanation:
answer is - 6 2/ 3
Evaluate the following expression and give your answer in scientific notation, rounded to the correct number of significant figures. Also include units in your response. [(0.00034 kg)/((0.0000598 L+2.54×10 −6
L))]=
Answers
The answer, rounded to the appropriate number of significant figures, is 5.45 kg/L. To express it in scientific notation, we can write it as:
5.45 × 10^(0) kg/L.Since 10^0 equals 1, the final answer in scientific notation is:5.45 × 1 kg/L
The given expression [(0.00034 kg)/((0.0000598 L+2.54×10^(-6) L))] represents a division calculation. To evaluate the expression, we substitute the given values into the equation and perform the necessary calculations. The final answer is expressed in scientific notation, rounded to the appropriate number of significant figures, and includes the correct unit.To evaluate the expression [(0.00034 kg)/((0.0000598 L+2.54×10^(-6) L))], we substitute the given values and perform the division:
Numerator: 0.00034 kg
Denominator: (0.0000598 L + 2.54×10^(-6) L)
Adding the terms in the denominator, we get:
0.0000598 L + 2.54×10^(-6) L = 0.00006234 L
Now we can rewrite the expression as:
(0.00034 kg) / (0.00006234 L)
Performing the division:
(0.00034 kg) / (0.00006234 L) ≈ 5.453 kg/L
The answer, rounded to the appropriate number of significant figures, is 5.45 kg/L. To express it in scientific notation, we can write it as:
5.45 × 10^(0) kg/L.Since 10^0 equals 1, the final answer in scientific notation is:5.45 × 1 kg/L
Therefore, the evaluated expression is 5.45 kg/L.
Learn more about division here:
https://brainly.com/question/33183138
#SPJ11
Use the drawing tool(s) to form the correct answer on the provided number line. Will brought a 144-ounce cooler filled with water to soccer practice. He used 16 ounces from the cooler to fill his water bottle. He then took out 16 plastic cups for his teammates and put the same amount of water in each cup. Find and graph the number of ounces of water, x, that Will could have put in each cup.
Answers
According to the information, we can infer that the number of ounces of water, x, that Will could have put in each cup is 8 ounces.
What is the number of ounces of water "x" that Will could have put in each cup?Will initially had a cooler filled with 144 ounces of water. After using 16 ounces to fill his water bottle, there were 144 - 16 = 128 ounces of water remaining in the cooler.
Will then took out 16 plastic cups for his teammates. Since the same amount of water was put in each cup, the remaining amount of water, 128 ounces, needs to be divided equally among the cups.
Dividing 128 ounces by 16 cups gives us 8 ounces of water for each cup.
So, Will could have put 8 ounces of water in each cup.
Learn more about water in: https://brainly.com/question/28465561
#SPJ1
need help with the two questions please:)
Answers
Answer: 6/5 and -3/4
Step-by-step explanation:
(2x-3)/9=(3x-4)/6
18*(2x-3)/9=18*(3x-4)/6
2(2x-3)=3*(3x-4)
4x-6=9x-12
-5x=-6
x=6/5
(8x+2)/4=4x/3
12*(8x+2)/4=12*4x/3
3(8x+2)=4*4x
24x+6=16x
8x=-6
x=-3/4
Given AC with A(3, 4) and C(-9, -2), if B partitions AC such that the ratio of AB to BC is 1:5, find the coordinates of B.
Answers
Answer:
Step-by-step explanation:
Please help !!!!!!!!!!
Answers
Answer:
100, -20 times time -5 makes the negatives turn it positive
Consider the following data set. Round your answers to the nearest hundredth as needed.83 91 104 72 97118 118 118 8996Mean =Median =Mode =Range =Sample Standard Deviation =Check Answer
Answers
Arrange the data in ascending order,
\(72,83,89,91,96,97,104,118,118,118\)The mean is ,
\(x=\frac{72+83+89+91+96+97+104+118+118+118}{10}\)\(x=\frac{986}{10}\)\(x=98.6\)The mean is 98.6.
The median is,
\(M=\frac{(\frac{n}{2})th+(\frac{n}{2}+1)th}{2}\)\(M=\frac{(\frac{10}{2})th+(\frac{10}{2}+1)th}{2}\)\(M=\frac{96+97}{2}\)\(M=\text{ 96.5}\)The median is 96.5.u
The mode is the value that appears most often in a set of data values.
\(m=\text{ 118}\)The range is determined as the difference between the maximum and minimum value.
\(R=118-72\)\(R=\text{ 46}\)The length of one of the diagonals of a rhombus is 6, and the perimeter is 20. What is the length of the other diagonal?
Answers
Answer:
4
Step-by-step explanation:
It can be the line of best nt because itIt can be the line of best fit because it passes through all the scatter points.
Answers
The line can not be line of best fit because it's not closest to lost of the point.
What is line of best fit?A line of best fit is a straight line that minimizes the distance between it and some data. It is an output of regression analysis and can be used as a prediction tool for indicators and price movements.
Line of best fit must pass through as many as possible points on the graph. Looking at the line above is on the graph but doesn't not pass through most of the points.
The points are actually representing a value and the line must also represent the value.
Therefore the line above is not a line of best fit
learn more about line of best fit from
https://brainly.com/question/17013321
#SPJ1
Answer:
C) It cannot be the line of best fit because it is not closest to most of the points.
Step-by-step explanation:
A scatter plot is a graphical representation of a dataset in which individual data points are plotted as dots on a two-dimensional coordinate system. It is used to visually examine the relationship between two variables and identify patterns or trends in the data.
The line of best fit is a straight line that represents the general trend or pattern in a scatter plot, and minimizes the overall distance between the line and the data points.
To determine if a line on a scatter plot is the line of best fit, you can assess its alignment with the data points. The line of best fit should pass as close as possible to the majority of the data points, minimizing the overall distance between the line and the points.
From observation of the given scatter plot, the line does show a positive association, but it cannot be the line of best fit because it is not closest to most of the points.
Note: The correct line of best fit is shown in red on the attached diagram.
esto es verdadero oh falso
como se resuelve
3/4 + 1/2 + 1/3 + 2/9 + ...... = 9/4
Answers
Answer
The missing value is 4/9
A video game randomly chooses your car color and type. The probability of
getting a red car is 0.25, and the probability of getting a convertible is 0.40.
Event A = You get a red car.
Event B = You get a convertible.
A and B are independent events if
A. The probability of getting a red car or a convertible is 0.10.
B. The probability of getting a red car or a convertible is 0.65.
C. The probability of getting a red convertible is 0.10.
D. The probability of getting a red convertible is 0.
Answers
The correct option regarding the probabilities of the two events when they are independent are given by:
C. The probability of getting a red convertible is 0.10.
What is the probability of independent events?If two events, A and B, are independent, the probability of both events happening is the multiplication of the separate probabilities of each event happening, that is.
P(A and B) = P(A) x P(B).
For this problem, the separate probabilities are given by:
P(A) = 0.25.P(B) = 0.40.Then, for them to be independent, we need that:
P(A and B) = 0.25 x 0.40 = 0.10.
A and B means a red convertible car, hence the correct option is:
C. The probability of getting a red convertible is 0.10.
More can be learned about probabilities of independent events at https://brainly.com/question/14478923
#SPJ1
The yearbook club had a meeting. The meeting had 24 people, which is one-half of the club. How many people are in the club?
Answers
54 kids with cell phones: a marketing manager for a cell phone company claims that more than of children aged - have cell phones. in a survey of children aged - by a national consumers group, of them had cell phones. can you conclude that the manager's claim is true? use the level of significance and the critical value method with the table.
Answers
We can conclude that the marketing manager's claim is true.
To determine whether the marketing manager's claim is true, we need to conduct a hypothesis test.
Let p be the proportion of all children aged 8-12 who have cell phones. The marketing manager claims that p > 0.5, while the national consumers group survey found that 39/54 or p' = 0.722 have cell phones.
The null hypothesis is that the true proportion of children with cell phones is less than or equal to 0.5:
H0: p ≤ 0.5
The alternative hypothesis is that the true proportion of children with cell phones is greater than 0.5:
Ha: p > 0.5
We will conduct a one-tailed hypothesis test with a level of significance of 0.05.
Under the null hypothesis, the sample proportion follows a binomial distribution with parameters n = 54 and p = 0.5. The standard error of the sample proportion is given by:
SE = √[p(1-p)/n] = √[0.5(1-0.5)/54] = 0.070
The test statistic is calculated as:
z = (p' - p) / SE = (0.722 - 0.5) / 0.070 = 3.14
The critical value for a one-tailed test with a level of significance of 0.05 is 1.645, using the standard normal distribution table.
Since the test statistic (z = 3.14) is greater than the critical value (1.645), we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that more than half of the children aged 8-12 have cell phones.
Therefore, we can conclude that the marketing manager's claim is supported by the data from the survey.
Learn more about hypothesis at https://brainly.com/question/15960871
#SPJ11
the mean time it takes for workers at a factory to insert a delicate bolt into an engine is 15 minutes. the standard deviation of time to insert the bolt is 4.0 minutes and the distribution of time is approximately normally distributed. 4% of the time, the bolt is inserted in less than which time value? round to the nearest whole number.
Answers
4% of the time, the bolt is inserted in time less than 8 minutes.
For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.
If the probability is 4%, then, using the z-table, the z-score would be -1.75287.
at p = 0.04 z = -1.75287
Using the formula for finding the z-score, solve for the data value, x.
z-score = (x – μ) / σ
where x = individual data value
μ = mean = 15
σ = standard deviation = 4.0
-1.75287 = (x - 15) / 4.0
x - 15 = -7.01148
x = 7.98852
Round off to the nearest whole number.
x = 8
Learn more about probability here: brainly.com/question/26822684
#SPJ4
Your teacher finds a catalog that sells posters for $2 each. There is an additional charge of $4 to ship and order. Suppose that your class paid $54 for posters.