Answer:
Step-by-step explanation:
If you used good technique, you would expect the range of measurements to be small. Good technique would include using a measuring instrument that is calibrated correctly, measuring in the same position and at the same time of day, and being consistent in how you position your body during the measurement. All of these factors would help to reduce the amount of measurement error and therefore lead to a smaller range of measurements.
Andrew is conducting a survey to determine the most common eye color. Why doesn't he use mode, not the mean or the median, to analyze his results
The mode is the most common value in a set of data and is typically used for categorical data such as eye color.
Why is the Mode used and not the Mean or Median?The mean and median, on the other hand, are measures of central tendency used for numerical data.
Since eye color is a categorical variable, the mode would be the appropriate measure to use to determine the most common eye color in Andrew's survey.
It can be seen that the mean, median, and mode are the most common measures of central tendency for a set of data, and typically, you use the mode with categorical, ordinal, and discrete data and this is the appropriate data collection that Andrew should use to find the most common eye color and not mean or median.
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Solve the linear equation using equivalent equations to isolate the variable. Express your solution as an integer as a simple fraction or as a decimal number.
t-5=9
The solution to the given linear equation is t = 14
Solving Linear equationsFrom the question, we are to solve the given linear equation.
From the given information,
The given linear equation is
t - 5 = 9
To solve the equation, we will use the addition property of equality
Solving the equation
t - 5 = 9
Add 5 to both sides of the equation
t - 5 + 5 = 9 + 5
Simplify
t = 14
Hence, the solution is t = 14
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Which of the following is equivalent to cosine of 2 times x over the quantity cosine of x end quantity question mark
cos x − (sin x)(tan x)
2 times sine of x minus the quantity 2 over cotangent of x end quantity
2cos x − sec x
I only
I and II
I and III
I, II, and III
The trigonometric identities equivalent to cos(2·x)/cos(x) are;
cos(x) - (sin(x))/(tan (x))
2·cos(x) - sec(x)
What are trigonometric identities?Trigonometric identities are equations of trigonometric functions that are correct for the values of the input and output variables in the equations.
The trigonometric identity for cos(2·x) is specified as follows;
cos(2·x) = cos²x - sin²x
Therefore;
cos(2·x)/(cos(x)) = (cos²x - sin²x)/(cos(x))
(cos²x)/(cos(x)) = cos(x)
sin²(x)/(cos(x) = sin(x) × sin(x)/(cos(x)) = sin(x)·tan(x)
(cos²x - sin²x)/(cos(x)) = (cos²x)/(cos(x)) - sin²(x)/(cos(x)
(cos²x)/(cos(x)) - sin²(x)/(cos(x) = cos(x) - sin(x)·tan(x)
cos(2·x)/(cos(x)) = cos(x) - sin(x)·tan(x)cos(2·x) = 2·cos²x - 1
Therefore; cos(2·x)/cos(x) = (2·cos²x - 1)/cos(x)
(2·cos²x - 1)/cos(x) = 2·cos(x) - 1/cos(x)
2·cos(x) - 1/cos(x) = 2·cos(x) - sec(x)
cos(2·x)/cos(x) = 2·cos(x) - sec(x)cos(2·x) = 1 - 2·sin²x
cos(2·x)/cos(x) = (1 - 2·sin²x)/cos(x)
(1 - 2·sin²x)/cos(x) = sec(x) - 2·sin(x)
The expressions equivalent to cos(2·x)/cos(x) are therefore;
cos x - (sin x)·(tan x) and 2·cos x - sec x, which are I and III
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A jailer carries a large key ring. The key ring has a diameter of 4 inches. What is the key ring's radius?
Answer:
2 inches
Step-by-step explanation:
The radius is simply the distance from the edge if you were at the center, which is equal to half the diameter. So given the diameter is 4 inches, we divide that by two, [tex]\frac{4\text{ inches}}{2}=2\text{ inches}[/tex] and that's our radius!
The angle measurements in the diagram are represented by the following expressions. A=6x+5 B=4x+45 solve for x and then find the measure of A
To solve for x in the equation A = 6x + 5, we can first subtract 5 from both sides, giving us A - 5 = 6x. This simplifies to A = 6x + 5. Dividing both sides by 6 gives us x = (A-5)/6.
Similarly, we can solve for x in the equation B = 4x + 45. Subtracting 45 from both sides gives us B - 45 = 4x, and dividing by 4 gives us x = (B-45)/4.
To find the measure of A, we can substitute the value of x that we found into the equation for A.
A = 6x + 5
A = (6 * (B-45)/4) + 5
A = (3/2) * B - 45/2 + 5
A = (3/2) * B + 5/2
So the measure of A is (3/2) * B + 5/2.
A $5000 loan at 5% dated July 5 is due to be paid on November 10.calculate the amount of interest. assuming ordinary interest
Answer:
$250
Step-by-step explanation:
because we have to do 5,000 of 5% = 250 in sale's tax or interest.
The solution is, $250 is the amount of interest.
What is interest?Interest is the outlay you pay to borrow money. Interest is often deliberated as an annual percentage of a loan amount.
here, we have,
Explanation:
given that,
A $5000 loan at 5% dated July 5 is due to be paid on November 10.
Since the borrower is to pay 5% of the money by November 10(Due time)
so, we get,
5% of the principal is simply
(5/100)* 5000
= $250
Hence, The solution is, $250 is the amount of interest.
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NEED HELP ASAP THANK YOU!!!!!!!!!
Answer: 510$
Step-by-step explanation:
So you multiply the number of bookmarks by the amount they were sold for. So, 340 x 1.50 = 510. 510$!
Which of these lines would make a better trend line for this data?
Answer:
option A
Step-by-step explanation:
Slope-Intercept Form:The slope intercept form of a linear equation is expressed as: [tex]y=mx+b\text{ where }m\ne0[/tex]
The slope described how the y value changes as x changes. If it's positive then that means as x increases, y increases and if it's negative then that means as x increases, y decreases.
Knowing this information, there is only one reasonable option in this case. Given the equation: [tex]y=x+6[/tex], we know that it has a slope of positive one, meaning it's increasing. Given the equation: [tex]y=-\frac{3}{4}x+4[/tex], we know that it has a slope of negative three fourths, meaning it's decreasing.
The graph shown is increasing so option A is the only reasonable option in this case.
Explain why “r”, the correlation coefficient, has a range from -1 to 1?
Step-by-step explanation:
Possible values of the correlation coefficient range from -1 to +1, with -1 indicating a perfectly linear negative, i.e., inverse, correlation (sloping downward) and +1 indicating a perfectly linear positive correlation (sloping upward). A correlation coefficient close to 0 suggests little, if any, correlation
A company will issue stock and bonds to raise
$35,000,000 to finance a project. The company will
need to pay specialty fees and service commission
as part of this process. 0.5% of the money raised
will be spent on specialty fees, and 2% of the
money raised will be spent on service commission.
Calculate the amount of money that will be spent
on specialty fees.
fees = $ [?]
Enter
PH
Skip
The specialty fees will of the project will be $175,000.
What is specialty fee in a project?
Specialty fee of a project is associated with the cost or money that is given for some special task for e.g. hiring a architect or other specialist.
To calculate the amount of money that will be spent on specialty fees, we need to multiply the total amount of money raised (35,000,000) by the specialty fee percentage (0.5%).
specialty fees = 35,000,000 * 0.005 = 175,000
So, $175,000 will be spent on specialty fees.
Also, To calculate the amount of money that will be spent on service commission, we need to multiply the total amount of money raised (35,000,000) by the service commission percentage (2%).
service commission = 35,000,000 * 0.02 = 700,000
So, $700,000 will be spent on service commission.
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To raise $35,000,000 for a project's financing, a corporation will issue shares and bonds. The project's specialist fees will be $175,000 in total.
What is specialty fee in a project?The cost or amount paid for a project's specialty work, such as employing an architect or another specialist, is known as the specialty fee. We must multiply the entire cash raised ($35,000,000) by the proportion of speciality fees ($0.5%) to determine the amount that will be used for fees.
35,000,000 * 0.005 = 175,000 in specialist fees.As a result, specialist fees will cost $175,000. Additionally, we must multiply the total sum of funds raised (35,000,000) by the service commission rate (2%), in order to get the amount that will be used for service commission. service commission: 35,000,000 * 0.02 = 700,000 , The service commission will therefore receive $700,000.
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boron consists of 2 isotopes. One of those isotopes has a mass of 10.012938 amu with an abundance of 19.80%. The other isotope has a relative abundance of 80.20% What is the mass number of the other isotope?
Answer:
The mass number of the other isotope is 10.01613 amu.
Step-by-step explanation:
Let the percentage abundance of the first isotope be: 10B5 = 19.80%
Then, the percentage abundance of the second isotope will be xB5 = 80.20%
Mass of one isotope = 10.012938 amu
(10*19.80 + x*80.20)/100 = 10.012938
198 + x*80.20 = 1001.2938
x*80.20 = 1001.2938 - 198
x*80.20 = 803.2938
x = 803.2938 / 80.20
x = 10.01613
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3.5% as a fraction or mixed number
Answer:
[tex]3.5\% = \frac{3.5}{100} = \frac{35}{10} (fraction) = 3 \frac{5}{10} (mixed)[/tex]
HELP PLSS
Perform the following
The line running through endpoints (5.-4) and (-1,8) has an equation in slope-intercept form of y = -4x + 8
What does equation mean?Using the equal symbol (=) to indicate equivalence, a mathematical equation is a formula that joins two statements. Equations are mathematical statements that prove the equality of several mathematical equations and are used in algebra. In the solution 3x Plus 5 = 14, for example, the equal sign places the variables 3x Plus 5 and 14 apart. It is possible to explain the relationship between two sentences that are located on each side of a letter using a mathematical formula.
Here,
provided are points 5.–4. (-1,8)
slope is equal to m=y2-y1/x2-x1.
form of the slope intercept: y = mx + c
In order to determine the equation for the line passing between the points (5, -4), (-1, 8),
The slope and intercept are represented by the formula y = mx + c.
-4 is the slope, while 8 is the intercept.
The line's equation for going through the endpoints (5.-4) & (-1,8) is y = -4x + 8 in slope-intercept form.
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a) Choose two vectors vw in R2 and a third vector b also in R2, and express b as a linear combination of v,w by finding scalars c₁,c2 such that c₁v + c₂w = b. Sketch the situation in R2 with an illustration that uses the parallelogram rule. (b) Repeat part (a) with vectors in R3 such that the augmented matrix [v w | b] gives a consistent system, again illustrating by graphing but this time in R3. (c) Why is it harder to find a consistent system for part (b) compared to part (a)? Explain your idea clearly using complete sentences.
Previous question
Next q
a) The linear combination of v, w by finding scalars c₁, c₂ such that c₁v + c₂w = b is [v w | b]
b) The graph of the equation is attached below.
c) The matrix representation is a useful tool for finding linear combinations of vectors, but it becomes more complex as the number of dimensions increase.
A linear combination of two vectors is when a third vector is expressed as a sum of the two vectors multiplied by scalars.
In R2, this can be represented using a parallelogram, where the vectors are drawn and the third vector is the diagonal of the parallelogram.
To find the scalars, we use the matrix representation [v w | b]. If the matrix gives a consistent system, it means that the third vector b can be expressed as a linear combination of the two vectors v and w.
In R3, the matrix representation is still used but it becomes more challenging to find a consistent system because there are more variables involved.
The vectors are graphed in 3D, and the third vector is found as the diagonal of a parallelogram that is now a parallelepiped.
However, it may not always be possible to find a consistent system in R3, as the third vector may not lie in the plane formed by the two vectors.
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please solve and show how!
Answer:
x = 0 and x = 16
Step-by-step explanation:
You want the solution to √(2x+4) -√x = 2.
SolutionWe eliminate the radicals by squaring until there aren't any. After the first squaring, we have to separate the radical term from the others.
[tex]\sqrt{2x+4}-\sqrt{x}=2\\\\(2x+4)-2\sqrt{(2x+4)(x)}+(x)=4\qquad\text{square both sides}\\\\3x=2\sqrt{x(2x+4)}\qquad\text{add $\sqrt{x(2x+4)}-4$}\\\\9x^2=4(2x^2+4x)\qquad\text{square both sides}\\\\x^2-16x=0\qquad\text{subtract the right side from both sides}\\\\x(x -16) = 0\qquad\text{factor}[/tex]
Zero product ruleThe solutions to this are the values of x that make the factors zero. Those values are x=0 and x=16. Trying these in the original equation, we have ...
√(2·0 +4) -√0 = 2 -0 = 2 . . . . . . x=0 is a solution
√(2·16 +4) -√16 = 6 -4 = 2 . . . . . x=16 is a solution
The two solutions to the equation are x=0 and x=16.
The gate code at your apartment complex is three numerical digits followed by the "#" sign. If each code
contains non-repeating digits, how many possible gate codes does your apartment complex have?
There are 720 possible gate codes your apartment complex have.
What is algebra?The subject matter of the math discipline of algebra is symbols and the arithmetic operations performed on them. Variable describes these symbols because they don't have any fixed values. We frequently notice values that are in constant flux in our day-to-day problems.
To represent these shifting values, however, is always necessary. These values are frequently represented in algebra with symbols like x, y, z, p, or q; these symbols are referred to as variables.
The gate code at your apartment complex is three numerical digits followed by # sign.
There are 10 digits (0 to 9).
Compute the number of possible gate codes if each code contains non-repeating digits as follows.
The first 3 place in the code must be filled by three non-repeating digits.
So, there are 10 possibilities for the first digit, 9 possibilities for the second digit and 8 possibilities for the third digit.
Hence, the three non-repeating digits can occur in 10×9×8 ways.
The three non-repeating digits are followed by "#" sign. The sign # can occur in only one way.
Combine the above results and obtain the number of possible gate codes as,
10×9×8×1=720
Thus, there are 720 possible gate codes.
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Which graph represents the solution to the following equation?
[tex]|x| \ \textless \ 3[/tex]
Answer:
a
Step-by-step explanation:
|x|<a means -a<x<a
or x lies between -3 and 3
if g(x) =
[tex] {x }^{3} - 2x[/tex]
find
[tex] \frac{g(2 + h) - g(2)}{h} [/tex]
Answer:
[tex] {h \: }^{2} + 6h + 10[/tex]
in an exam 11 student got the following marks. find the median and no of students above and below the median 60,64,95,99,65,70,72,80,85,90,75
The precise middle value of a data set when it is ordered is called the median.Consequently, 7 is the needed median for the specified data set.
What is the median?The precise middle value of a data set when it is ordered is called the median.Separating the lowest 50% of data from the top 50% of values is a measure of central tendency.If you have an odd or even number of data points, the processes for calculating the median will be different.
The exact middle value in an ordered data set is known as the median.It is a metric of central tendency that separates the bottom and top half of the data.
Sort the provided data set into the following order: 1, 4, 5, 7, 8, 9, 15, and 16.
Eight terms total, all even.
The data set's median is equal to the nth term, the eighth term, and the fourth term. = 7
Consequently, 7 is the needed median for the specified data set.
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Answer questions but the top being the following instead of image
Investment a: $3,000 invested for six years compounded, semi annually at 6%
Investment b: $4000 invested for four years compounded quarterly at 2.7%.
Answer:
B will get more $
Step-by-step explanation:
3000 annual rate 6% so half a year is 3%, compounding semiannually for 6 years = 12 times
so 3000*(1+3%)^12 =4277.28
$4000 invested for four years compounded quarterly at 2.7%. so every quater is 2.7%/4 =0.675%, compounding quarterly for 4 years = 16 times
so 4000*(1+0.675%)^16=4454.57
A high school band director is designing a marching formation. To design formations, he uses a coordinate grid with the origin representing the middle of the field. On the grid, each mark represents one yard. One band member is moving from point G(-2, -2) to point H(3, 4). Use this graph to answer the questions in this activity.
Part D
Estimate the square root of c that you found in part C to the nearest tenth.
The required distance c between the point of marching formation is given as C = √61.
What is Distance?Distance is defined as the object traveling at a particular speed in time from one point to another.
Here,
The distance formula is given as,
C = √[[x₂ - x₁]² + [y₂+ - y₁]²]
Put the given point in the above equation,
C = √[[3 + 2₁]² + [4 + 2]²]
C = √25+36
C = √61
Thus, the required distance c between the point of marching formation is given as C = √61.
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Choose the correct option.
Which option is most similar in relation to the following word pair?
Water: Ocean
OPTIONS
House: Bricks
Book : Library
Biscuit : Tea
Cloth: Body
Answer:
Book: Library is most similar in relation to the following word pair Water: Ocean. Both pairs are closely related and are often found together.
ILL give brainleist to the person who anwers
Answer:
m∠14 = 80°
Step-by-step explanation:
Angles m∠13 and m∠14 lies on a straight line. Angles on a straight line sums up to 180°.
Hence we can say that,
m∠13 + m∠14 = 180
100 + m∠14 = 180
m∠14 = 180 - 100
m∠14 = 80
Which number is less than it’s square?
9/10
12/11
15/16
13/13
The number which is lesser than its square is 12/11
What is a square number ?When a number is multiplied by itself, the result is a square number. For instance, 25 is a square number as it is composed of 5 lots of 5, or 5 × 5.
The opposite of squaring an integer is finding its square root. The result of multiplying a number by itself yields its square value, whereas the square root of a number may be found by looking for a number that, when squared, yields the original value. It follows that a a = b if "a" is the square root of "b." Every integer has two square roots, one of a positive value and one of a negative value, because the square of any number is always a positive number. For instance, the square roots of 4 are both 2 and -2. However, the square root of a number is typically only expressed as the positive value.
The numbers are
9/10 , 12/11 , 15/16 and 13/13
The squares are
81/100, 144,121, 225/256, 1
here
81/100 < 9/10 abd
225/256 < 15/16
144/121 > 12/11
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Guys slove this I have to sumbit my assignment
(a) -3,-11,-19, -27, -35,-43, -51, -59, -67, -75.
(b) -9,-18,-36,-72,-144,-288,-576,-1152,-2304,-4608.
(c) 2, 6, 12, 20, 30, 42, 56, 72, 90, 110.
In the provided sequence, we will find the difference between two consecutive integers.
The difference between the second and first numbers is 622=4.
The difference between the third and second numbers is 126=6.
The difference between the fourth and third numbers is =2012=8.
We can see that the difference between two consecutive integers starts at 4 and grows by 2 each time.
As a result, the supplied sequence is created by adding the difference between a number and the preceding number, as well as 2 to the number.
Using the rule, we can determine the following three words.
The difference between the fifth and fourth numbers is =8+2=10.
As a result, the fifth number of the series equals the fourth number of the sequence plus ten.
As a result, we get the fifth number from the series =20+10=30
The difference between the sixth and fifth numbers is 10+2=12.
As a result, the sixth number of the series equals the fifth number of the sequence plus twelve.
As a result, we receive the sixth number as the sequence's sixth number =30+12=42.
The difference between the seventh and sixth numbers is 12+2=14.
As a result, we get the sequence's seventh number = the sequence's sixth number + 14
As a result, we receive the seventh number as the sequence's seventh number =42+14=56.
As a result, the following three terms in the specified sequence are 30, 42, and 56.
The sequence is changed to 2, 6, 12, 20, 30, 42, 56.
The word 'prime numbers' was used in the answer. The numbers are known as prime numbers. It has just two variables, 1 and the number itself. For instance, 2 is the sum of 2 and 1. As a result, the components of 2 are 2 and 1. As a result, 2 is a prime number.
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Transformed functions
See image below:
A function transformation is one that converts one function or graph into another, usually related function or graph.
What is transformation of a function?Given function, f(x)
Transformed function is y = -3f(x + 2)
To find each points transformed function:
Given point (-4 , 5)After transformation the function becomes,
y = -3(-4 + 2)
y = -3 x -2
y = 6
Then the transformed points are (-4 , 6).
Point (-2,3)After transformation the function becomes,
y = -3(-2 + 2)
y = 0
Then the transformed points are (-2 , 0).
Point (0,0)After transformation the function becomes,
y = -3(0 + 2)
y = -3 x 2
y = -6
Then the transformed points are (0 , -6).
Point (1,-2)y = -3(1 + 2)
y = -3 x 3
y = -9
Then the transformed points are (1 , -9).
Point (3,-4)y = -3(3 + 2)
y = -3 x 5
y = -15
Then the transformed points are (1 , -15).
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Margie has 64 rectangular steppingstones to arrange in an array in her backyard . How many arrays can Margie make with the 64 steppingstones
If Margie has 64 rectangular steppingstones to arrange in an array in her backyard. The number of arrays that Margie can make with the 64 steppingstones is: 2 × 32, 4 ×16, 8 × 8.
How to find the number of array:Given data:
Rectangular steppingstones to arrange in an array =64
In order to determine the number of arrays we have to find the number that will give us 64 when multiply.
The number that will gives us 64 as the answer when multiply are:
2 × 32 = 64
4 ×16 = 64
8 × 8 = 64
The arrays are 3 which are:
2 × 32
4 ×16
8 × 8
Therefore we can conclude that the number of array that Margie can make with the 64 steppingstones is: 2 × 32, 4 ×16, 8 × 8.
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Classify each of the following attributes as either categorical or numerical. For those that are numerical, determine whether they are discrete or continuous.
(a)
number of students in a class of 32 who turn in a term paper before the due date
categorical
numerical (discrete)
numerical (continuous)
(b)
gender of the next baby born at a particular hospital
categorical
numerical (discrete)
numerical (continuous)
(c)
amount of fluid (in ounces) dispensed by a machine used to fill bottles with soda pop
categorical
numerical (discrete)
numerical (continuous)
(d)
thickness of the gelatin coating of a vitamin E capsule
categorical
numerical (discrete)
numerical (continuous)
(e)
birth order classification (only child, firstborn, middle child, lastborn) of a math major
categorical
numerical (discrete)
numerical (continuous)
The correct classifications for these variables are a = numerical discrete, b= categorical, c= numerical continuous, d= numerical continous, e= categorical.
What is the difference between a numerical and a categorical variable?As indicated by their name, numerical variables can be measured using numbers; here are some examples:
Weight of a person: 170 poundsDistance between two cities: 645 kilometersNumber of students in a class: 25 studentsOn the other hand, categorical variables fit into categories, for example:
Female vs Male
Dog vs cat
What is the difference between discrete and continuous?Discrete variables differ from continuous variables because they are obtained by counting, for example, the number of students in a classroom, while continuous variables need to be measured, for example, the distance.
Based on this the correct classification is:
A. Numerical (discrete) = the number of students in a class of 32B. categorical =gender of the next baby born at a particular hospitalC. Numerical (continuous) =amount of fluid (in ounces)D. Numerical (continuous) =thickness of the gelatin coating of a vitamin E E. Categorica, =birth order classification (only child, firstborn, middle child, lastborn)Learn more about variables in: https://brainly.com/question/17344045
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For a dinner taste testing event, a total of cases of forks and cases of spoons were ordered. Each case of forks contains packages each containing forks. Each case of spoons contains packages each containing spoons. It is planned that each guest will receive forks and spoons at the beginning of the event. At the end of the event, forks and spoons were not given out to guests. Which question about the event can be answered from the given information?
A How many dinners were offered for tasting at the event?
B How many people attended the event?
C How much was earned from the tickets sales for the event?
D How much silverware was used?
It is possible to find out the number of people who attended the event. Hence option B is correct.
What is the system of equations?
System of equations, also known as simultaneous equations, Two or more equations to be solved together in algebra (i.e., the solution must satisfy all the equations in the system). The number of equations must equal the number of unknowns for a system to have a unique solution.
Given that, a total of 24 cases of forks and each case of forks contains 36 packages each containing 12 forks.
Form about information, calculate the number of forks.
A total of 24 cases of spoons and each case of spoons contains 45 packages each containing 12 spoons.
Form about information, calculate the number of spoons.
Given that at the end of the event, 12 forks and 18 spoons were not given out to guests.
Form these we can get information that how many spoon used.
Since each guest will receive 2 forks and 3 spoons at the beginning of the event.
Using this information we can get the number of people who attend the event.
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A track runner counted the number of races he had during a season. The graph shows the relationship between the number of track meets, x, and the number of races, y.
coordinate plane with the x axis labeled number of track meets and the y axis labeled number of races with a line that passes through the points 0 comma 5 and 1 comma 7
Part A: Calculate the slope of the linear equation shown in the graph. Show all necessary work. (3 points)
Part B: What does the slope mean for the relationship between the number of races and the number of track meets? (3 points)
Part C: Interpret the y-intercept in the situation. (3 points)
Part D: Write the equation of the line shown on the graph in slope-intercept form. (3 points)
A. The slope of the linear function is given as follows: m = 2.
B. The slope means that the number of races increases by two when the number of track meets increases by one.
C. The y-intercept of 5 means that when there are 5 races when there are 0 track races.
D. The slope-intercept definition of the linear function is given as follows: y = 2x + 5.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change of the output variable relative to the input variable.b is the intercept, representing the value of y when x assumes a value of zero.The input and output variables for this problem are given as follows:
Input x: number of track meets.Output y: number of races.Two points in the function are given as follows:
(0,5) and (1,7).
Hence the slope and the intercept are given as follows:
Slope of 2, as when x increases by one, y increases by two.Intercept of 5, as when x = 0, y = 5.Meaning that the function is defined as follows:
y = 2x + 5.
More can be learned about linear functions at https://brainly.com/question/24808124
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