ASAP: Which equation best represents the line of best fit for the data in the scatterplot above?
Answers
Answer:
F : y = -x + 4
Step-by-step explanation:
The first observation about this scatterplot is that the best line of fit will be a line going diagonally from top left to bottom right(or bottom right to top left)
Such a line has negative slope
Equation will be of the form
y = mx + b where m is a negative number
We can eliminate H and I since both lines have a positive slope which means that the line will go in a diagonal bottom left to top right direction
Let's examine options F and G
F: y = - x + 4
G: -9x + 3
Plug in some values for x from the graph and see which of the lines comes closest to the y values computed from the equations
At x = -5, the y value from the graph appears to be either 7 or 8
F: y = -x + 4 ==> -(-5) + 4 = 5 + 4 = 9; pretty close to graph's point value
G: -9x + 3 ==> -9(-5) + 3 = 45 + 3 = 48; this is greatly different from the graph value
At x = 0; the y value from graph is close to 4
From the equations we get
F: y = -x + 4 ==> y = -(0) + 4 = 4; pretty darn close
G: y -9x + 3 => y = -9 + 3 = -6; large difference
One more point
At x = 20, the point on the graph appears to be close to -19
From the equations we get
F: y = -x + 4 = -20 + 4 = -16; not too different
G: y = -9x + 3 = -9(20) + 3 = -180 + 3 = 177; way off
So the best line of fit would be
F : y = -x + 4
The equation that best represents the line of fit from the scatter plot is given as follows:
y = -x + 4.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation shown as follows:
y = mx + b
The coefficients m and b have the meaning presented as follows:
m is the slope of the function, representing the increase/decrease in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, it is the value of y when the graph of the function crosses or touches the y-axis.From the scatter plot, we have that when x = 0, y = 4, hence the intercept b is given as follows:
b = 4.
When x = 20, y is approximately -16, hence the slope m is obtained as follows:
-16 = 20m + 4
20m = -20
m = -1.
Hence the function is:
y = -x + 4.
More can be learned about linear functions at https://brainly.com/question/15602982
#SPJ1
Related Questions
Kelly wants to make a fruit salad made up of bananas, apples, and peaches. She wants to mix one part apples, 2 parts peaches, and 3 parts bananas. Bananas cost $2.00 per pound, apples cost $4.00 per pound, and peaches cost $5.00 per pound. Kelly only has $10.00, and will spend it all on fruit salad. Write an equation and use this equation to determine how many pounds of fruit salad he can make.
Answers
Step-by-step explanation:
If x is the pounds of apples, 2x is pounds of peaches, and 3x is pounds of bananas, then the total cost is:
4(x) + 5(2x) + 2(3x) = 10
4x + 10x + 6x = 10
20x = 10
x = 0.5
Kelly buys 0.5 pounds of apples, 1 pound of peaches, and 1.5 pounds of bananas, for a total of 3 pounds of fruit.
Answer all questions correctly, all questions answered will be assigned brainliest.
Answers
Answer: number 1: A,C
number 2: C
number 3: C
Number 4: C, E, A
Step-by-step explanation:
I don’t think this is needed for such question
Answer:
1=A,B,E
2:C
3:C
4:B,C,E
5:B,C
6:B
7: I don't know this one
8:C
9:D
10:D
Step-by-step explanation:
Look at the picture.
Answers
Answer:
12+15+50=77 inches²
Step-by-step explanation:
If each unit or cube is one inch, it will be (3x4x2)/2=12 inches² for the two triangles.
3x5=15 inches² for the rectangle.
And 5x5x2=50 inches² for the two bigger rectangles.
Pls step-to-step :')
Answers
Answer: X = 20
Steps:
↳ First, I read the question, “Figure A is a scale image of Figure B”.
(Scale image = a smaller image of the original)
↳ Then, I divided 12.5 by 10 which was 1.25
↳ After that, I multiplied 1.25 by 16 to get 20.
—————
Please remember to revise this and make it in your own words if you want! I hope this helps you. Please comment if I am wrong! (Please explain why) -Doodle
—————
A study found that 9% of dog owners brush their dog’s teeth. Of 578 dog owners, about how many would be expected to brush their dog’s teeth? Explain.
A.
50; 9% ≈ 10% and 578 should be rounded down to 500; 10% of 500 = 50
B.
60; 9% ≈ 10% and 578 ≈ 600; 10% of 600 = 60
C.
70; 9% ≈ 10% and 578 ≈ 700; 10% of 700 = 70
is it A. B. or C.
Answers
Answer: A
Step-by-step explanation: 578*0.09=52.02~ is 50
Angles A and B are corresponding angles. The measure of A is 135°. What is the measure of B?
A. mB = 45°
B. mB = 90°
C. mB = 125°
D. mB = 135°
Answers
Therefore, the answer is D. mB = 135°.
Answer: hope this helps ♡
D. mB = 135°
Step-by-step explanation:
mA = 135°
mB = 135°
(most corresponding angles are equal)
help me please first to answer will get brainiest
Answers
Answer:
Step-by-step explanation:
the study guide helps best
Find the horizontal distance between 2.5 , -1
Answers
Answer: the answer is 2
Step-by-step explanation:
Lo graphs the relationship between temperature (in ° C) and elevation (in m) in 9 different cities on the coordinate plane below. What is the temperature in the city with an elevation of -9 m?
Answers
Answer:
7°C
Step-by-step explanation:
That is the point at top left.
x = -9; y = 7
Answer: 7°C
HELP ASAP!!
One student admission to an amusement park costs t dollars. Which expression represents the cost of admission for 4 students?
Responses
t
4t
t+4
t4
Answers
Answer:
See below
Step-by-step explanation:
1. The rule defining the function on the graph:
y = x -1, if x = (-3,-1)
y = -3x + 9, if x = [2, 4)
2. f(x) = |4x + 36|
y = 4x + 36, if x ≥ - 9
y = -4x - 36, if x < - 9
3. See attachment for the graph
4. Item 4 is not included in the question
Answer:
4t
Step-by-step explanation:
you times the amount of students by the cost of the admission
ASAP PLEASE!!
Which set only contains numbers that make the inequality true?
x+19<28
Responses
{3, 4, 5, 6}
{7, 8, 9, 10}
{10, 11, 12, 13}
{12, 13, 14, 15}
Answers
[tex]x+19 < 28\\x < 9[/tex]
Only [tex]\{3, 4, 5, 6\}[/tex] contains numbers less than 9.
Answer:
{3, 4, 5, 6}
please help (7TH GRADE MATH)
Answers
Answer:
1. Not a function
2. Function
3. Not a function
4. Not a function
Function
Not function
Not function
A triangle has angles of 124°, 28°, and 28°. Explain whether or not the triangle can have its three side lengths equal to 7 units, 6 units, and 14 units.
Answers
No it cannot. There are a couple of ways to prove this. The easiest way is that we know by looking at the angles that we have an Isosceles triangle, because we have 2 angles of the same value. We know that an Isosceles triangle must have at least 2 sides of the same length, which means that this triangle cannot have the side lengths listed.
Answer very quickly for points , thanks 5.0 stars and brainliest
the area of the compound shape below is 82cm^2
find the value of x
Answers
The value of x is four....
................
82=70+3x
82-70=70-70+3x
12=3x
12/3=3x/3
X=4
A boating company has the following notice at the gate:
"Children under the age of 13 are not allowed to operate a boat."
Part A: Write an inequality to show the age of children who are allowed to operate a boat. (5 points)
Part B: Describe in words how you can show the solution to this inequality on a number line. (5 points)
Answers
Part B: Put a colored dot on the number 13 on the number line. Draw an arrow going left.
Answer:
Part A:
x > 13
Part B:
How to show this inequality on a number line is a closed circle on 13, going left of 13.
Step-by-step explanation:
Part A:
x represents the age of children who are allowed to operate the boat.
Our inequality is < because if you are of the age of 13 you are allowed to operate the boat,
the inequality x > 13 reads x (the age of children) is greater than or equal to 13
Part B:
How to describe inequalities on a number line;
Closed circle: less than or equal to - or - greater than or equal to ( < , > )
Open circle: less than - or - greater than ( < , > )
To the right of the number on the number line: greater than
To the left of the number on the number line: less than
What is the area of the figure below
Answers
Answer:224
Step-by-step explanation:
Okay as you can see, the figure is divided into 3 shapes. 2 rectangles and a right trapezoid.
You can solve the area of the rectangle on the far right by doing 9x6 leaving you with 54.
For the other rectangles you can do 11x12 equaling 132. I got 11 because you know the top is 17 and as you see at the bottom that length you used for the first rectangle is 6, so you do 17-6. You get 12 from adding 9+3.
For the right trapezoid the formula is A = ( a + b ) x h/2. So you can plug it in and say A=(12+7) x 4/2= 38.
You then add all the areas together (54+132+38= 224) leaving you with the answer of 224.
I need help on a b and function 2
I dont get it
Answers
Answer:
For A: The first function has a greater ROC
For B: The first function has a negative slope
Step-by-step explanation:
Explication for A:
We already know that the R.O.C. (slope) is 2 for the first function, so all we need to do is substitute the values in the table into the following formula: y2-y1/x2-x1
after substituting: (-3-(-6))/(0-(-1))
simplify 3/1=3, since the ROC is 3, the second equation has a greater ROC than the first
Explanation for B:
The first function described is f(x)=20-3.5x
This is because the y intercept is the starting point, or how much money she has in the gift card. She spends 3.5 dollars per week, so we add a variable to represent the number of weeks, and its negative since she is spending, not earning. We also know that the slope is negative since y is decreasing as x is increasing, on the table.
The second function described is c(m)=5x+10
This is because the equation represents the total cost of renting a calculator, so both terms are positive.
HELP PLS ASAP! A net of a rectangular prism is shown.
What is the surface area of the prism?
A. five hundred fifty and one-fourth cm2
B. four hundred twelve and three-fourths cm2
C. two hundred seventy-five and one-eighth cm2
D. one hundred thirty-seven and nine-sixteenths cm2
Answers
Answer:
the surface area of the rectangular prism is found as : S = 275 ¹/₈ cm².
Length l = 11 ³/₄ cm = 47/4 cm = 11.75 cm
width w = 5 ³/₄ cm = 23/4 cm = 5.75 cm
height h = 4 cm
surface area of the prism S = 2(lw + wh + hl)
S = 2(11.75*5.75 + 5.75*4 + 4*11.75)
S = 2*137.5625
S = 275.125
S = 275 ¹/₈ cm²
,!
.
.
C:275 and 1/8
What is 0.4¯5 expressed as a fraction in simplest form?
Answers
Answer:
If You are talking about 0.45 with the line over 5 ,that means the five is repeating and it nevers stops
Step-by-step explanation:
Christopher Columbus set sail from Spain in 1492. In what year did the Civil War end?
Answers
What is 0.¯45 expressed as a fraction in simplest form?
Answers
Then 100x = 45.¯45
Subtracting the left equation from the right equation:
100x - x = 45.¯45 - 0.¯45
99x = 45
x = 45/99
The fraction 45/99 can be simplified by dividing both numerator and denominator by 9:
45/99 = 5/11
Therefore, 0.¯45 expressed as a fraction in simplest form is 5/11.
Makayla bought stock in a company two years ago that was worth x dollars. During the first year that she owned the stock, it increased by 12%. During the second year the value of the stock decreased by 7%. Write an expression in terms of x that represents the value of the stock after the two years have passed.
Answers
To find the value of the stock after the second year, we need to multiply the first year's value by the percentage change of the second year:
1.12x - (0.07)(1.12x)
Simplifying this expression, we get:
1.12x - 0.0784x
Combining like terms, we get:
1.0416x
Therefore, the expression that represents the value of the stock after the two years have passed is 1.0416x.
Andy said that 4/9 of his collection is action or comedy Cynthia said that Andy made an error explaine whether Andy is correct or incorrect and why
3/5 of the dvds are action and 1/4 of the dvds are comedy
Pls I need it done by midnight
Answers
To see why Andy's estimate is too low, consider that 3/5 of the DVDs are action, which is greater than 4/9. Additionally, 1/4 of the DVDs are comedy, which is also greater than 4/9. Since some DVDs are both action and comedy, the total fraction of the collection that is either action or comedy is greater than 4/9.
Therefore, Cynthia is correct that Andy made an error in his estimate.
A hat company wants to create a cylindrical travel case to protect its beach sun hats using the following pattern.
net drawing of a cylinder is shown as two circles with diameters labeled 17 inches and a rectangle with a height labeled 6 inches
How many square inches of leather will be necessary to create the travel case? Approximate using π = 3.14.
Answers
The amount of leather that will be necessary to create the travel case is given as follows:
373.66 square inches.
How to obtain the surface area of a cylinder?The surface area of a cylinder of radius r and height h is given by the equation presented as follows:
S = 2π r h + 2π r
The dimensions for the cylinder in this problem are given as follows:
r = 8.5 inches -> half the diameter.h = 6 inches.Hence the amount of leather that will be necessary to create the travel case is given as follows:
S = 2 x 3.14 x 8.5 x 6 + 2 x 3.14 x 8.5
S = 373.66 square inches.
More can be learned about the volume of a cylinder at brainly.com/question/9554871
#SPJ1
Find the median and mean of the data set below:
31
,
38
,
35
,
36
,
3
31,38,35,36,3
Answers
3, 31, 35, 36, 38
The median is the middle value in the data set. Since there are five values in the data set, the middle value is the third value, which is 35. Therefore, the median of the data set is 35.
To find the mean, we need to add up all the values in the data set and divide by the total number of values:
(3 + 31 + 35 + 36 + 38) / 5 = 28.6
Therefore, the mean of the data set is 28.6.
the median is always the middle number so the median is 35. hope this helps you to remember in the future
please answer correctly for 18 points, mathematics
Answers
Answer:
Step-by-step explanation:
Answer: Your answer is in the picture
Step-by-step explanation:
When using bar graphs x is right and y is up. An origin is the begining so 0,0 i hope that helped :).
Amber and Jessica go out for lunch. Amber’s lunch costs $11.70, and she tips 18%. Jessica’s lunch costs $12.30, and she tips 15%. Complete a true statement.
jessica paid [ 0.29 / 0.32 / 0.55 ] , [ more/ less ] than amber at lunch
Answers
Jessica paid more than Amber at lunch.
To find out, we first need to calculate the amount of tip each person left:
Amber's tip = 11.70 x 0.18 = $2.11
Jessica's tip = 12.30 x 0.15 = $1.85
Then we add the cost of the lunch and the tip for each person:
Amber's total cost = 11.70 + 2.11 = $13.81
Jessica's total cost = 12.30 + 1.85 = $14.15
So Jessica paid $0.34 more than Amber for lunch.
please help solving the slope of this graph
Answers
to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{60})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{30}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{30}-\stackrel{y1}{60}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{2}}} \implies \cfrac{ -30 }{ 2 } \implies - 15[/tex]
1. We can use points (6,0) as x1, y1 AND point (4,30) as x2, y2.
2. Plug into equation
(30-0)/(4-6) = 30/-2 = -15
Therefore -15 would be the slope.
Rewrite the expression c + 0.25c using fractions instead of decimal numbers.
Answers
Answer:
It would be c + 1/4c
I really hope this helps!!
c + 1/4
Whats the answer? I'll give brainleist!
Answers
Answer:
51 [tex]\frac{1}{5}[/tex] laps
Step-by-step explanation:
Answer:
Step-by-step explanation:
