What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line.
A. y= -1.5x + 6
B. y= 1.5x +6
C. y= 1.5x - 12
D y=2x+6
Answers
We can also rule out choice C as the y intercept is definitely not -12. The y intercept is some positive value above 5, so 6 is probably a good guess or the correct y intercept.
This leaves choice B or choice D. They both have a y intercept of 6, so let's ignore that part. The slopes are different. For choice B we have 1.5 as the slope and choice D we have 2 as the slope.
Pick the two points closest to the line which are (4, 12) and (20,36). Start by using the graph to find the two closest points. Then use the table to confirm that you have the proper numeric values.
Slope formula:
m = (y2-y1)/(x2-x1)
m = (36-12)/(20-4)
m = 24/16
m = 1.5
So this points to choice B as the final answer
Option B is correct. The required for the linear model in the scatter plot is y = 1.5x + 6
The standard formula of expressing the equation of a line is;
y = mx + b where;
m is the slope
b is the y-intercept
Using the coordinate points (20,36) and (4, 12)
Get the slope:
[tex]Slope = \frac{12-36}{4-20}\\Slope = \frac{-24}{-16}\\Slope=\frac{3}2}=1.5[/tex]
The point where the line meets the y-axis is the t intercept. From the graph, the y-intercept is b = 6
Get the required equation:
[tex]y=mx+b\\y=1.5x + 6[/tex]
Hence the required for the linear model in the scatter plot is y = 1.5x + 6
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Related Questions
Writing equations from graphs
Answers
Kevin has $4.85 in nickels and dimes. If he has 34 fewer dimes than nickels, how many coins (nickels and dimes) does he have altogether?
A.) 74 coins
B.) 75 coins
C.) 76 coins
D.) 77 coins
Answers
Answer:
The answer would be (D) 77 coins :)
Step-by-step explanation:
root of 108 is between______ and ______
Determine what two whole numbers the square root is between without using a calculator or table. Then use a calculator or table to check.
Answers
How I found the answer:
I know 10 * 10 = 100
I know 11 * 11 = 121
So the root of 100 = 10 and the root of 121 = 11 so that means the root of 108 is somewhere between 10 and 11, which the root of 108 = 10.3923
ASAP HELP FOR NUMBER 21!! DO 21 B, C, AND D!! PLS!
(CORRECT ANSWERS PLS)
(Random ANSWERS get moderated)
Answers
Jonah : y = 3x + 20
21 c) m in both equations stand for the amount of money the Anchee and Jonah are paid each week. b stands for the amount of money the two are paid initially.
Y = 5x
Y = 3x + 20
Part C:
In each equation, the values of m show the earnings and the values of b show the amount of money they had already started with.
Part D:
The values of m and b for each line tell me that they will eventually intersect.
Find the next two terms of the sequence. 2, 6, 10, 14, ... (1 point)
Answers
Noticing this sequence, we will find that the sequence increases by 4 each time. This means that:
The next number = the current number + 4
In other words:
2
2+4 = 6
6+4 = 10
10+4 = 14
14+4 = 18
Therefore, the next number in the sequence would be 18
Answer:
C. 18,22
Step-by-step explanation:
Mr. rodriguez, a college instructor, can grade his class papers in 3 hours while it takes his assistant 4.5 hours. if mr. rodriguez graded the papers for 1 hour and then left the job for his assistant to complete, how long will it take his assistant to finish grading papers?
Answers
The rate of mr Rodriguez to complete 1 job is 1/3 while that of his assistant is 1/4.5.
So if mr Rodriguez works for 1 hour, the job left would be 2/3 of the job. So the total time needed by assistant is:
(2/3) / (1/4.5) = 3 hours
Answer:
3 hours
A printer prints 28 photos in 8 minutes.
How many minutes does it take to print 21 more photos?
Answers
PLAESE HELP ME FAST THIS IS WORTH 20 POINTS
Answers
The robber stole 280 dollars' worth of one-dollar bills. He also stole some 100-dollar bills, 50-dollar bills, and 20-dollar bills. Which expression could represent the amount of money that was stolen? A) 280(100x+50y+20z) B) 100x+50y+20z-280 C) 280x+170 D) 170x+280170x+280 E) 100x+50y+20z+280
Answers
30 POINTS!! WILL VOTE BRAINIEST
The table shows a linear function
(a) Determine the difference of outputs of any two inputs that are 1 unit apart. Show your work.
(b) Determine the difference of outputs of any two inputs that are 2 units apart. Show your work.
(c) Determine the difference of outputs of any two inputs that are 3 units apart. Show your work.
(d) What do you notice about the ratios of the differences in the outputs to the input intervals? Explain your answer.
Answers
Consider from x = -5 to x = -4, they are 1 unit apart and the difference of their outputs is given by:
-3 - (-11) = -3 + 11 = 8.
Thus, the value of the output increases by 8 units for each one unit increase in the input.
Part B:
Consider from x = -3 to x = -1, they are 2 units apart and the difference of their outputs is given by:
21 - 5 = 16.
Thus, the value of the output increases by 16 units for each two units increase in the input.
Part C:
Consider from x = 0 to x = 3, they are 3 units apart and the difference of their outputs is given by:
53 - 29 = 24.
Thus, the value of the output increases by 24 units for each three units increase in the input.
Part D:
It can be noticed that the ratio difference in the outputs to the input intervals are equal for all the given input intervals.
i.e 8 / 1 = 16 / 2 = 24 / 3.
A card is drawn from a deck of 52 cards. find the probability of drawing a king or a red card
Answers
drawing a red car:26/52
drawing a red king: 2/52
4/52 +26/52 -2/52=28/52
change to decimal if required: 0.5385
An urn contains two red and four white balls. balls are drawn from the urn successively, at random and with replacement. what is the probability that exactly three whites occur in the first five trials?
Answers
Given: 4 white balls, 2 red balls
Required: Probability of three (3) whites will be drawn out of five (5) trials
Solution:
Balls are drawn at random and with replacement.
Probability = (4/6)*(4/6)*(4/6) =29.6%
ANSWER: The probability of white, white, white is 29.6%
BRAINLIEST FOR THE RIGHT ANSWER!!!
Jim Smith is a salesman who receives a $1,100 draw per week. He receives a 12% commission on all sales. Sales for Jim were $205,000 for the month. Assuming a four-week month, Jim's commission after the draw is
Answers
205,000 - 1,100w - 12% = e
w = weeks he worked
e = earnings
If he works 4 weeks, then we fill in w with 4:
205,000 -1,100(4) - 12% = e
1,100 x 4 = 4,400
Now subtract:
205,000 - 4,400 = 200,600
Now to get his commission, turn the percent into a decimal:
12% ----> .12
Then multiply that by the sales after draws:
200,600 x .12 = 24072
That means that Jim Smith got $24072 from commission.
Hope this helps!
A floor plan shows the area of a room is 271.25 square feet. if the room is 15.5 feet wide, how long is it?
Answers
Final answer:
The length of the room is calculated by dividing the area of 271.25 square feet by its width of 15.5 feet, resulting in a length of 17.5 feet.
Explanation:
To find the length of the room given its area and width, we will divide the area by the width. The formula for finding the area of a rectangle is Area = length × width. So, to find the length, we can rearrange this formula as length = Area ÷ width, which means dividing the given area by the width.
We know the area of the room is 271.25 square feet and the width is 15.5 feet. So the calculation for the length will be:
Length = 271.25 sq ft ÷ 15.5 ft
Length = 17.5 ft
Therefore, the length of the room is 17.5 feet.
The width of a rectangle is equal to m cm, but its length is five times greater than the width. Find the area of the rectangle.
Answers
I hope this helps.
width=m
length=5m
Area= l x w
Area=5m x m
Area=5m^2
(^ the exponent or power)
Fatema loves to run marathons. The last one she participated in took her 2 hours to complete. The year before (2016) , she completed the same marathon in 8/11 of the time and the year before that (2015) she completed it in 9/12 of the time. What year did Fatema run the fastest? JUSTIFY YOUR ANSWER PLEASE I NEED HELP ASAP!
Answers
2016 = 8/11 x 120 mins = 87.27 mins
2015 = 9/12 x 120 mins = 90 mins
Therefore, Fatema ran the fastest in 2016.
What is the value of x in the equation 1/5x-2/3 y = 30, when y = 15?
A.4
B.8
C.80
D.200
Answers
The value of x in the given equation 1/5x-2/3 y = 30 when y = 15 is given by option D. x = 200.
To find the value of x in the equation 1/5x - 2/3y = 30 when y = 15,
substitute the value of y into the equation and then solve for x.
Equation is 1/5x - 2/3y = 30
Substitute y = 15:
1/5x - 2/3(15) = 30
Now, calculate the value of 2/3(15):
2/3 × 15 = 30/3 = 10
Now, the equation becomes:
1/5x - 10 = 30
To isolate the term with x, add 10 to both sides of the equation:
1/5x = 30 + 10
1/5x = 40
Finally, to find x, multiply both sides by 5:
x = 40 × 5
x = 200
Therefore, the value of x in the equation when y = 15 is option D. x = 200.
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Mr.Traynor's class is taking a field trip to the zoo.The trip will cost $26 for each student.There are 22 students in her class.What is a good estimate for the cost of the students' field trip?
Answers
Perform the indicated operations. x+1/3y+x-2/4y-x=3/6y
Answers
The student's question seems to be about algebraic operations with an unclear equation, but the provided example with y = 9 + 3x demonstrates how to create a table and graph of a linear equation with a slope of 3 and y-intercept of 9.
Explanation:The student's question involves performing the indicated operations with algebraic expressions that include variables and fractions. The expressions mentioned resemble an equation that could potentially be simplified or solved, but the question as written contains typos and lacks clear structure. Consequently, to provide an accurate answer, we would need the correct and complete version of the equation.
However, in similar problems, one would typically combine like terms, find a common denominator for fractions, and simplify the equation to solve for the variable. For the equation y = 9 + 3x, to create a table of values, one can choose different values of x, substitute them into the equation, and calculate the corresponding y values. Then, plotting these points on a graph would show the linear relationship represented by the equation with a slope (m) of 3 and a y-intercept (b) of 9.
Write an equation of the line through (5,5)and parallel to the line 4x+3y=-2
Please help
Answers
4x + 3y = -2
Subtract 4x from both sides.
3y = -4x - 2
Divide all terms by 3.
y = -4/3x - 2/3
The slope in this equation is -4/3 (4 down, 3 to the right).
Using that slope, input the coordinates (5, 5) into the equation of a line:
y - y1 = m(x - x1)
y - 5 = -4/3(x - 5)
y - 5 = -4/3x + 20/3
y = -4/3x + 35/3
The equation of the line is y = -4/3x + 35/3.
Which of the following inequalities is graphed below I'll give 5 stars if you want
Answers
What is 15 + 17- 100 + 1000 + (-132) x 0?
Answers
= 932 + (-132) * 0
= 932
You stated that the answer should be 0 which is utterly incorrect. Had the question been
=(15 + 17 - 100 + 1000 + (-132)) * 0
Then you'd be correct. But as the way the actual question is written the multiply by 0 is only applied to the (-132)
The result of the expression 15 + 17 - 100 + 1000 + (-132) x 0 is 932.
Multiplication first according to the order of operations (PEMDAS/BODMAS):
(-132) x 0 = 0
Now, substitute the result back into the equation:
15 + 17 - 100 + 1000 + 0
Next, perform the addition and subtraction from left to right:
15 + 17 = 32
32 - 100 = -68
-68 + 1000 = 932
So, the final answer is 932.
The prices on many of the cafeteria food change during the year. Elvira finds that she has order veggie burgers four times and paid $78,$72,$87, and $90 on the orders. To stay within budget, she needs to be sure her average order of veggie burgers is not more than $82. How much can she spend on the fifth order to keep the average within her budget ?
Answers
Elvira can spend $83 to keep the average not more than $82
Elvira spend $83 on the fifth order to keep the average within her budget.
What is Average mean?
The average mean of numbers is calculated by dividing the sum of all numbers by the total number of terms.
Given that;
Elvira finds that she has order veggie burgers four times and paid $78, $72, $87, and $90 on the orders.
And, To stay within budget, she needs to be sure her average order of veggie burgers is not more than $82.
Now, Let the fifth order to keep the average within her budget = $x
Then, By the definition of average mean we get;
= 78 + 72 + 87 + 90 + x / 5 = 82
= 327 + x = 82 × 5
= 327 + x = 410
= x = 410 - 327
= x = 83
Thus, Elvira spend $83 on the fifth order to keep the average within her budget.
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Is the square root of 37 rational or irrational
Answers
Hope this helps!
Find the diameter of a cone that has a volume of 56.52 cubic inches and a height of 6 inches. use 3.14 for pi. (1 point) 3 inches 6 inches 9 inches 12 inches
Answers
To find the answer, set the volume of the cone (56.52) equal to the formula for the volume of the cone (3.14(r)squared times height) Plug in the height and solve for the radius. When you have the radius (3) multiply it by 2 to get the diameter (6).
Answer:
Diameter= 6 inches
Step-by-step explanation:
Let a and b be real numbers where a=b=0. Which of the following functions could represent the graph below?
f(x)=x(x-a)^3(x-b)^3
f(x)=(x-a)^2(x-b)^4
f(x)=x(x-a)^6(x-b)^2
f(x)=(x-a)^5(x-b)
Answers
Answer:
Option: b is the answer.
( f(x)=(x-a)^2(x-b)^4 )
Step-by-step explanation:
Clearly from the graph of the function we could see that zero is not a root of the polynomial function hence option (a) ( f(x)=x(x-a)^3(x-b)^3 ) and option (c) ( f(x)=x(x-a)^6(x-b)^2 )are discarded.
Now we will check for option (b) and option (d)
As the graph touches the x-axis at two point i.e. a and b that means that both the roots of the polynomial equation are of even degree.
Hence, the correct option is:
option: b ( f(x)=(x-a)^2(x-b)^4 ).
It can be deduced that the option that represents the graph is B. f(x)=(x-a)²(x-b)⁴
How to solve the graphFrom the graph, a and b be real numbers where a=b=0. In this case, zero is not a root of the polynomial function
When the graph touches the x-axis at two point l, it implies that means that both the roots of the polynomial equation are of even degree.
In conclusion, the correct option is B.
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The population of bees has been decreasing at a rate of 10% per year in 2012 there were 6000 bees in particular hive how many bees were there in 2014
Answers
10% of 6000 is 60
so 6000 - 60 = 5940
2013 = 5940 bees
10% of 5940 = 59.4
so 5940 - 59.4 = 5880.6
so in 2014 you 5881 because you cant have a 0.6 of a bee
QUICKK EXPERTS/ACE OR ANYONE WHO WANTS TO HELP!!
Answers
bottom left,
since the lines are parallel with each other there is no solution
Determine if the lines are parallel, perpendicular, or neither 4x+5y=10 and 5x -4y= 28
Answers
4x + 5y = 10
5y = -4x + 10
y = -4/5x + 2.....the slope here is -4/5...the y int is 2
5x - 4y = 28
-4y = -5x + 28
y = 5/4x - 7...the slope here is 5/4...and the y int is -7
for the lines to be parallel, they would need the same slope and different y intercepts. So, as u can see, they are not parallel because they do not have the same slope.
for the lines to be perpendicular, the lines would have to have negative reciprocal slopes. They do....u have perpendicular lines. To find the negative reciprocal of a number, u flip the number and change the sign. One line had a slope of -4/5....the negative reciprocal is : flip the number making it -5/4....change the sign, making it 5/4...which is the slope of the other line...so these slopes are negative reciprocals.
so u have perpendicular lines
The two lines 4x + 5y = 10 and 5x - 4y = 28 are perpendicular to each other as they have slopes that are negative reciprocals of each other.
What is a slope?The slope is generally defined as the rate of change of the y-axis with respect to the x-axis.
We know we can determine if two lines are parallel or perpendicular to each other by their slope.
If they are parallel they will have the same slope and if they are perpendicular they will have slopes that are negative reciprocals of each other.
Given are two lines 4x + 5y = 10 and 5x - 4y = 28.
We know the equation of a line is y = mx + b.
∴ 4x + 5y = 10 can be written as 5y = -4x + 10 Or y = -(4/5)x + 5/2.
And 5x - 4y = 28 can be written as -4y = -5x + 28 Or y = (5/4)x - 7.
Thus we can conclude that these two lines are perpendicular to each other as (-4/5) is the negative reciprocal of (5/4).
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QUICKK EXPERTS/ACE OR ANYONE WHO WANTS TO HELP!!
Answers
the correct graph is bottom left
the one that the 2 lines cross each other