Option • 12 is the answer .The number of treatments in the experiment is 12.
The understudy is directing a trial to comprehend the connection between microwave power and time on the quantity of unpopped bits in a pack of popcorn. There are three degrees of microwave power: low, medium, and high. Each sack of popcorn can be popped for either 3 minutes or 4 minutes, which provides us with a sum of double cross variables. To cover every one of the potential mixes of time and power, the understudy runs 12 distinct medicines (3 degrees of force x 2 degrees of time). Every treatment addresses one sack of popcorn that is popped for a particular time frame and with a particular power setting. The quantity of unpopped parts is recorded for every treatment, and the outcomes are utilized to make determinations about the impacts of microwave power and time on the quantity of unpopped pieces.
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11
3
Question 8
Upon purchasing a new car for $15,000, you discover that its value will decrease
linearly for the next 10 years until it is worth $0. Complete the mathematical model
below that describes the value of the car as a function of the number of years you
have owned the car.
This is a linear function that describes the value of the car as a function of the time (t) in years.
What is linear function?A linear function is a type of mathematical function that shows a linear relationship between two variables. It is represented as a straight line when plotted on a graph. Linear functions are used to describe a wide variety of phenomena, including position, velocity, acceleration, and much more. Linear functions are also used in various fields of mathematics, such as algebra, calculus, and optimization. Linear functions can be written in the form of an equation, with the equation representing the line.
V(t) = 15000 - 1500t
This is a linear function that describes the value of the car as a function of the time (t) in years. V(t) is equal to the initial value of the car (15000) minus 1500 multiplied by the amount of years (t) since the car was purchased. As t increases, V(t) decreases, linearly, until it is worth $0.
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What is the arc length of the sector shown?
The required length of the sector shown is given as 22π feet.
What is the perimeter?Perimeter is the measure of the figure on its circumference.
Here,
A circle is shown, where radius = 36 feet and the measure of the length of the arc for a sector with an angle of 110° is to be determined.
We know that,
arc = angle × radius
arc= 110 × π/180 π 36
arc = 22π
Thus, the required length of the sector shown is given as 22π feet.
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whats the sum of
1/2 and 1/14 pleaseee
Answer:
0.571428571
Step-by-step explanation:
To find the sum of two fractions with different denominators, a common denominator must be found.
In this case, the two in the denominator must be multiplied to make it 14.
14/2 = 7, so multiply 2 by 7 to get 14, and what you do to the bottom you must do to the top, so 1 * 7 = 7.
Now, your two fractions are 7/14 and 1/14. Add the numerators as the denominators are equal.
7+1 = 8
8/14 is the sum, which can be divided by 2 on the top and bottom to simplify.
8/2 = 4, and 14/2 = 7
4/7
solve for x.
NM=X-6, ML=9, LK=2X-19, NK=23
The value of the variable x is 11
How to determine the value of the variableFrom the information given, the segment is from N - K
We have the midpoints as; NM, ML, LK
This is represented as;
NM + ML + LK = NK
Substitute the values, we get
x - 6 + 9 + 2x - 19 = 23
collect like terms, we get;
x + 2x = 23 +6 - 9 + 19
add or subtract the like terms
3x = 42 - 9
3x = 33
Now, make 'x' the subject of formula by dividing both sides by the coefficient of x, we get;
3x/3 = 33/3
Divide the values
x = 11
Hence, the value is 11
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√3x is equivalent to what expression
The statement is false the expression √3x is equivalent to the expression x√3.
What is an expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.let us check by an example put the value of x = 3
√3x = x√3.
and, √3 x 3 = 3√3
and, √9 ≠ 3√3
Here we can see that the two values are not equal.
Thus, the statement is false the expression √3x is equivalent to the expression x√3.
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A Harris Interactive survey for InterContinental Hotels & Resorts asked respondents, “When traveling internationally, do you generally venture out on your own to experience culture, or stick with your tour group and itineraries?” The survey found that 23% of the respondents stick with their tour group. In a sample of six international travelers, what is the probability that two will stick with their tour group? In a sample of six international travelers, what is the probability that at least two will stick with their tour group? In a sample of 10 international travelers, what is the probability that none will stick with the tour group? in statistics
Brad is putting up a circular flower garden with a radius of 4.5 feet in his yard. He
will put plastic edging along the flowerbed. How many feet of edging will Brad need
to enclose his flower garden?
According to the problem Brad will need 28.27 feet of edging to enclose his flower garden.
What is edging?Edging in math is a technique that involves finding the maximum or minimum value of a function. It is typically used to optimize or increase the performance of a particular solution. In other words, edging is a process by which a function is “reduced” to its most efficient form. For example, a function that is non-linear can be “edged” to become more linear, thereby increasing its efficiency. Additionally, edging can be used to identify certain features within a solution, such as local maximums or minimums. Edging is an important tool in math, and it can be used in a variety of different applications, from optimization to data analysis.
Brad will need 28.27 feet of edging to enclose his flower garden. This is because the circumference of a circle is equal to 2πr, where r is the radius. Therefore, the circumference of Brad's flower garden with a radius of 4.5 feet is 28.27 feet.
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56 parts were lost 3% of the total parts were lost. how many total parts were there
The total parts that were lost is 1867
How to determine the total parts that were lostLet's call the number of total parts "x".
From the question, we have the following parameters that can be used in our computation:
56 parts were lost, which is 3% of the total, so we can write:
56 = (3/100) * x
To isolate x, we can divide both sides by (3/100):
56 / (3/100) = x
Rewrite the equation as
x = 56/(3/100)
Express as product
So, we have
x = 56 * 100/3
Evaluate the product
x = approximately 1867
So there were approximately 1867 total parts.
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Mother Money Bags has d dollar bills in her wallet. She splits the bills equally between her five kids, then gives each of them 3 more dollars in
change. If each child gets a total of $14, how many dollar bills did
Mother have in her wallet?
Answer:
Let's call the original number of dollar bills Mother had "d". Each child received d/5 + 3 dollars.
Since each child received $14, we have:
d/5 + 3 = 14
Multiplying both sides by 5, we get:
d + 15 = 70
Subtracting 15 from both sides, we get:
d = 55
So, Mother had 55 dollar bills in her wallet.
EASY POINTS!
Let's say you are ordering books online and the online store is having a 12% off sale. If the subtotal of the books, before the discount, is $25, what is the total cost of the books if there is also a state sales tax of 7.5%?
$23.65
$26.13
$22.00
$23.13
The lengths of the four sides of a quadrilateral (in feet) are consecutive integers. If the perimeter is
86
86 feet, find the value of the longest of the four side lengths.
Answer:
23
Step-by-step explanation:
because consecutive integers, that means each one is longer than the previous one
length 1= x
length 2 = x+1
length 3 = x+2
length 4 = x+3
so 4x+6 =86
x = 20
longest =20+3 =23
Accounting systems are important because they are a primary source of information for managers.
Thw given statement " Accounting systems are important because they are a primary source of information for managers" is true.
What kinds of accounting systems exist?Two categories of accounting systems exist: In the first, a small business uses a single entry system to log each transaction as a line item in a ledger. The alternative is a double entry system, in which each transaction is entered in two different accounts as both a debit and a credit.
Accounting systems are crucial since they serve as managers' main informational resource. The accounting system is likely to provide the information that is needed for many, if not most, decisions. Whether the accounting system is giving managers access to the "best" information is our main concern.
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complete question:
TRUE OR FALSE Accounting systems are important because they are a primary source of information for managers.
Find the quotient of these complex numbers.
Answer: The answer is B
Step-by-step explanation:
( 2 + 2 ) divided by ( 5 + 4) is the same as 4/9 which is also the same as 2/9 + 2/9 which equals 4/9.
can someone help me out?
Answer: I'm pretty sure it's z<-6, so on the number line it would be an open circle at -6 and an arrow pointing left
how many numbers are there in pie
Answer:
62.8 trillion
Step-by-step explanation:
Records are made to be broken. In 2019, we calculated 31.4 trillion digits of π — a world record at the time. Then, in 2021, scientists at the University of Applied Sciences of the Grisons calculated another 31.4 trillion digits of the constant, bringing the total up to 62.8 trillion decimal places
Answer:
Step-by-step explanation:The following are the trial balance and other information related to Soft Tech, a
consulting engineer.
Soft Tech, Consulting Engineer
Trial Balance
December 31, 2022
Debit Credit
Cash Br. 59,000
Accounts Receivable 99,200
Allowance for Doubtful Accounts Br. 1,500
Supplies 3,920
Prepaid Insurance 2,200
Equipment 50,000
Accumulated Depreciation—Equipment 12,500
Notes Payable 14,400
Share, Capital 104,020
Dividend 34,000
Service Revenue 200,000
Rent Expense 19,500
Salaries and Wages Expense 61,000
Utilities Expense 2,160
Office Expense 1,440
Br. 332,420 Br. 332,420
Other data:
1. Fees received in advance from clients Br.12,000.
2. Services performed for clients that were not recorded by December 31,
Br.9,800.
3. Bad debt expense for the year is Br.2,860.
4. Insurance expired during the year Br.960.
5. Equipment is being depreciated at 10% per year.
6. Fine Tech gave the bank a 90-day, 10% note for Br.14,400 on December 1,
2022.
7. Rent of the building is Br.1,500 per month. The rent for 2022 has been
paid, as has that for January 2023.
8. Salaries and wages earned but unpaid December 31, 2022, Br.5,020.
(Slope-Intercept Form MC)
Which equation represents the graph?
a graph of a line that passes through the points 0 comma negative 2 and negative 2 comma 2
y equals negative 2 times x plus one half
y equals negative one-half times x plus one half
y = −2x − 2
y equals negative one-half times x minus 2
Question 2(Multiple Choice Worth 5 points)
(Slope MC)
What is the slope of the linear relationship shown on the graph?
a graph of a line that passes through the points 0 comma negative 2 and negative 2 comma 1
negative two thirds
two thirds
negative three halves
three halves
Question 3(Multiple Choice Worth 5 points)
(Systems of Linear Equations MC)
Which graph shows the solution to the system of linear equations?
y equals one third times x
x + 3y = 6
coordinate plane with one line that passes through the points 0 comma negative 4 and 2 comma negative 5 and another line that passes through the points 0 comma 0 and 2 comma 1
coordinate plane with one line that passes through the points 0 comma 2 and negative 3 comma 3 and another line that passes through the points 0 comma 0 and negative 3 comma negative 1
coordinate plane with one line that passes through the points 3 comma negative 3 and 0 comma negative 2 and another line that passes through the points 0 comma 0 and 3 comma 1
coordinate plane with one line that passes through the points 0 comma 4 and negative 1 comma 1 and another line that passes through the points 0 comma 0 and 1 comma 3
Question 4(Multiple Choice Worth 5 points)
(Systems of Linear Equations LC)
Determine the number of solutions to the system of linear equations shown on the graph.
coordinate plane with one line that passes through the points negative 1 comma 4 and 0 comma 1 and another line that passes through the points 0 comma negative 1 and 2 comma negative 3
One solution at (1, −2)
One solution at (−2, 1)
Infinitely many solutions
No solution
Question 5(Multiple Choice Worth 5 points)
(Systems of Linear Equations MC)
Which point is a solution to the system of linear equations?
y = −x + 3
x − 3y = 15?
(−1, 5)
(0, 3)
(3, 0)
(6, −3)
Question 6(Multiple Choice Worth 5 points)
(Slope MC)
Superior Segway Tours gives sightseeing tours around Chicago, Illinois. It charges a one-time fee of $60, plus $28 per hour. What is the slope of this situation?
28
32
60
88
Question 7(Multiple Choice Worth 5 points)
(Slope-Intercept Form MC)
A student is measuring the length of an icicle, y, every hour, x. The icicle is currently 14 inches long and is melting at a rate of 0.9 inches per hour. Find and interpret the slope for this relationship.
−0.9; for every additional hour, the length of the icicle decreases by 0.9 inches
0.9; for every additional hour, the length of the icicle increases by 0.9 inches
−14; the length of the icicle when the student first measures it
14; the length of the icicle when the student first measures it
Question 8(Multiple Choice Worth 5 points)
(Graphing Linear Equations MC)
A restaurant at the food court in a mall is offering a lunch special. The table shows the relationship between the number of side dishes and the total cost of the special.
Restaurant
Number of Side Dishes Total Cost
2 $8.50
4 $11.50
5 $13.00
8 $17.50
Which of the following graphs shows the relationship given in the table?
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 7 and 25 hundredths through the point 3 comma 11 and 75 hundredths
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 7 and 75 hundredths through the point 3 comma 12 and 25 hundredths
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 5 and 25 hundredths through the point 3 comma 9 and 75 hundredths
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 5 and 5 tenths through the point 5 comma 13
Question 9(Multiple Choice Worth 5 points)
(Systems of Linear Equations MC)
The system of linear equations 3x + 2y = −4 and y equals one half times x plus 1 is graphed on a coordinate plane. Approximate the solution to the system.
coordinate plane with one line that passes through the points 0 comma negative 2 and negative 2 comma 1 and another line that passes through the points 0 comma 1 and 2 comma 2
(−1.5, 0.25)
(−0.5, 0.75)
(1.5, 0.25)
(−2.5, 1.5)
On solving the provided question we can say that we have the slope -5/7 and the equation will be 5x +7y -c = 0
what is slope?A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).
here,
we have the slope -5/7
y = /5x/7 +c
7y = -5x +c
5x +7y -c = 0
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During an election for city council, you hear a candidate say that 68% of children in the city live in poverty. A
typical school in this city has about 1,200 students.
Based on the candidate statement about how many children in a typical school live in poverty
It can be estimated that about 816 children in the typical school are living in poverty.
Percentage calculationBased on the candidate's statement, approximately 816 children in a typical school in this city live in poverty.This is calculated from the 68% of children in the city that live in poverty, multiplied by the 1,200 students in a typical school. This rate of poverty among children is a concerning statistic, and one that needs to be addressed. It highlights the need for effective solutions to help children in this city out of poverty.These solutions could include initiatives such as providing better access to education and employment opportunities, increasing access to healthcare, or providing more social services and supports. Given that poverty has a long-term, negative effect on the health, wellbeing and life chances of children, this is a pressing issue that needs to be addressed.It is important that city council candidates have a plan in place to tackle this issue and help improve the lives of children in this city.To learn more about percentage calculation refer to:
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Please help me with this
Extra points
Answer:
2x + 9
Step-by-step explanation:
Suppose you take a random sample of size 25 from a population with mean of 120 and a standard deviation of 15. Your sample has a mean of 115 and a standard deviation of 13.8. Which of the following has a mean of 120 and a standard deviation of 3?answer choicesthe distribution of the populationthe distribution of the sample datathe sampling distribution of the sample mean.the sampling distribution of the population mean.No important distribution related to this situation has the given mean and standard deviation.
After taking the random sample, the following has the mean sample of (c) the sampling distribution of the sample mean.
A random sample is a group of people chosen at random, all with the same probability, from a larger group of people as mentionedinstatistics. It makes sure that the results you get from your sample should be close to what you would have gotten if you measured the entire population.
All units in the population have an equal chance of being chosen using the simplest random sample. Sampling should completely eliminate any signs of bias. Every person in the big population set has the same chance of being chosen because the people who make up the subset of the bigger group are selected at random.
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for the data given below, we construct a 90% confidence interval for the population mean n. 42.3 59.2 45.4 55.8 49.0 39.7 56.2 54.6 45.8 60.6 55.7 46.1 58.3 44.4 find the lower bound (round off to first decimal place).
The lower bound of the 90% confidence interval for the population mean is 44.3.
To calculate the lower bound of the 90% confidence interval for the population mean, we will use the formula:
Lower bound = sample mean - (1.645 * (standard deviation / square root of sample size))
Calculate the sample mean:
Sample mean = (42.3 + 59.2 + 45.4 + 55.8 + 49.0 + 39.7 + 56.2 + 54.6 + 45.8 + 60.6 + 55.7 + 46.1 + 58.3 + 44.4) / 14 = 51.09
Calculate the sample standard deviation:
Sample standard deviation = √(((42.3 - 51.09)2 + (59.2 - 51.09)2 + (45.4 - 51.09)2 + (55.8 - 51.09)2 + (49.0 - 51.09)2 + (39.7 - 51.09)2 + (56.2 - 51.09)2 + (54.6 - 51.09)2 + (45.8 - 51.09)2 + (60.6 - 51.09)2 + (55.7 - 51.09)2 + (46.1 - 51.09)2 + (58.3 - 51.09)2 + (44.4 - 51.09)2) / 13) = 8.37
Calculate the lower bound:
Lower bound = 51.09 - (1.645 * (8.37 / √14)) = 44.3
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2. Sarah and James are selling hot dogs and
hamburgers at the State Fair. Sarah sold 4 hot
dogs and 7 hamburgers for a total of $68. James sold 7 hot dogs and 3 hamburgers foratotal of
$67. How much do the hot dog and hamburger
cost?
Step-by-step explanation:
115 its rhe reuth i rhibk lol
Answer:
To find the cost of a hot dog and hamburger, we can set up a system of equations based on the information given. For example, let x be the cost of a hot dog and y be the cost of a hamburger. Then we have:
4x + 7y = 68 (equation 1)
7x + 3y = 67 (equation 2)
We can use substitution or elimination methods to solve the system of equations.
Substitution method:
Solve equation 1 for y in terms of x: y = (68 - 4x)/7
Substitute this expression into equation 2: 7x + 3((68 - 4x)/7) = 67
Simplifying and solving for x: 7x + 3(68 - 4x)/7 = 67
7x + 204 - 12x = 469
-5x = -401
x = 80
Substitute x = 80 back into equation 1: 4(80) + 7y = 68
320 + 7y = 68
7y = -252
y = -36
Therefore, the cost of a hot dog is $80, and the price of a hamburger is $-36 (which is not possible, it could be a typo or mistake in the given information)
Step-by-step explanation:
29.Rewrite the equation so that y is a function of x:
3x + 5y = 15
30.Use the result in question #29 to find y when x = -1.
The equation so that y is a function of x is y = [15 - 3x]/5 and the value of y is 18/5.
What is a linear equation?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Both linear equations with one variable and those with two variables exist.
Given the equation 3x + 5y = 15
to convert it in form of y,
5y = 15 - 3x
and divide both sides by 5
y = [15 - 3x]/5
substitute x = -1
y = [15 - 3x]/5
y = [15 - 3(-1)]/5
y = 18/5
Hence equation is y = [15 - 3x]/5 and y = 18/5.
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F(x)=0.25x-2;H(x)=-F(x)
The solution to the function's operation of h(x) is -0.25x + 2.
What is a function?A function connects an element x to an element f(x) also known as (y) in another set. The domain of a function refers to the x-values and the range of the function is the set of values of f(x) i.e. (the y-values) that are produced by the values in the domain of the function, which is the set of values of x.
Given that:
f(x) = 0.25x - 2
h(x) -f(x)
We are going to simply replace the value of f(x) with h(x), i.e.
h(x) = -(0.25x - 2)
h(x) = -0.25x + 2
Therefore, we can conclude that the solution to the function's operation of h(x) is -0.25x + 2.
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Which of the following attributes describes a sphere?
1 apex
curved surface
2 edges
circular base
Answer: Curved surface!
Step-by-step explanation:
Answer:
curved surface:) good luck in school guys!
Step-by-step explanation:
pls HELP ME ASAP DUE TODAY NOW HURRY PLEASE
Answer: so yea its the first one. im not that sure im just like saying what I know
Step-by-step explanation:
What is the value of the expression 30-(-6)?
Answer:
-5
30x6=5
5 and convert to negative -5
Need help with these questions:
1. If you have $330 in the bank but your bank balance shows $331, what is the percentage error? Do not put a minus sign.
2. A rectangle has width 4.1 and height 3.9. What is the percentage error if an approximate value of 4×4=16 is used for the area of this rectangle?
Answer: they are stilling your money
Step-by-step explanation:
In Exercises 15-18, each linear equation is in the form y= mx + b. Identify m and b.
15. y = 52 +8
16. y=-2x - 6
Estimate the area between the x-axis and the curve y = 2x' +1 on the interval (0, 2). Be sure to draw the correct picture for each approximation 5) Use a left hand approximation. a) Use 4 boxes b) Use 8 boxes
Using a left-hand approximation means that we will use the left endpoint of each interval to approximate the area under the curve.
a) Using 4 boxes:
The interval from 0 to 2 can be divided into 4 equal parts, so each part has a length of 0.5.
The height of each box will be the value of y at the left endpoint of each interval.
The area of each box can be calculated as follows:
For the first box, the left endpoint is (0, 1) and the height is 2(0) + 1 = 1. The area is 0.5 * 1 = 0.5.
For the second box, the left endpoint is (0.5, 2) and the height is 2(0.5) + 1 = 2.5. The area is 0.5 * 2.5 = 1.25.
For the third box, the left endpoint is (1, 3) and the height is 2(1) + 1 = 3. The area is 0.5 * 3 = 1.5.
For the fourth box, the left endpoint is (1.5, 4) and the height is 2(1.5) + 1 = 4.5. The area is 0.5 * 4.5 = 2.25.
The total area is the sum of the areas of all the boxes, so the total area is 0.5 + 1.25 + 1.5 + 2.25 = 5.
b) Using 8 boxes:
The interval from 0 to 2 can be divided into 8 equal parts, so each part has a length of 0.25.
The height of each box will be the value of y at the left endpoint of each interval.
The area of each box can be calculated as follows:
For the first box, the left endpoint is (0, 1) and the height is 2(0) + 1 = 1. The area is 0.25 * 1 = 0.25.
For the second box, the left endpoint is (0.25, 2.5) and the height is 2(0.25) + 1 = 2.5. The area is 0.25 * 2.5 = 0.625.
For the third box, the left endpoint is (0.5, 3) and the height is 2(0.5) + 1 = 3. The area is 0.25 * 3 = 0.75.
And so on, for all 8 boxes.
The total area is the sum of the areas of all the boxes, so the total area is 0.25 + 0.625 + 0.75 + ... + 3.375 = 5.125.
So, the area between the x-axis and the curve y = 2x + 1 on the interval (0, 2) can be approximated as 5 or 5.125 depending on the number of boxes used.
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A table of values of a linear function is shown below.
X
y
0
-3
y-intercept:
slope:
equation:
1
-1
Find the y-intercept and slope of the function's graph, and find the equation for the function.
-3
0
2
1
y = 0
3
3
4
5
8 08 0-0
3
X
Step-by-step explanation:
The y-intercept of a function can be found by looking at the point where the x-coordinate is 0. In this case, the y-intercept of the function is -3, as the point (0,-3) is on the graph.
The slope of a function can be found by looking at the change in y divided by the change in x between two points on the graph. In this case, we can use the points (0,-3) and (1,-1) to find the slope. The change in y is -1 - (-3) = 2 and the change in x is 1 - 0 = 1. So the slope is 2/1 = 2.
Therefore, the equation of the function can be written in slope-intercept form as y = mx + b, where m is the slope and b is the y-intercept. So the equation of the function is:
y = 2x - 3
It's the equation of a line that pass through (0,-3) and (1,-1) and (2,1) and (3,3) and (4,5)
