Calculate the line of best fit using m= y2-y1/x2-x1 using your brain not a calculator
Answers
Take two points
(1,940)(2,950)Slope
m=950-940/2-1=10Equation in point slope form
y-y1=m(x-x1)y-940=10(x-1)y-940=10x-10y=10x-10+940y=10x+930Answer:
[tex]y=-\dfrac{300}{7}x+1000[/tex]
Step-by-step explanation:
Method 1 (see attachment 1 with red line)
Plots the points on a graph and draw a line of best fit, remembering to ensure the same number of points are above and below the line.
Use the two end-points of the line of best fit to find the slope:
[tex]\textsf{let}\:(x_1,y_1)=(0,1000)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(7,700)[/tex]
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{700-1000}{7-0}=-\dfrac{300}{7}[/tex]
Input the found slope and point (0, 1000) into point-slope form of a linear equation to determine the equation of the line of best fit:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-1000=-\dfrac{300}{7}(x-0)[/tex]
[tex]\implies y=-\dfrac{300}{7}x+1000[/tex]
Method 2 (see attachment 2 with blue line)
If you aren't able to plot the points, you should be able to see that the general trend is that as x increases, y decreases. Therefore, take the first and last points in the table and use these to find the slope:
[tex]\textsf{let}\:(x_1,y_1)=(1,940)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(7,710)[/tex]
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{710-940}{7-1}=-\dfrac{115}{3}[/tex]
Input the found slope and point (1, 940) into point-slope form of a linear equation to determine the equation of the line of best fit:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-940=-\dfrac{115}{3}(x-1)[/tex]
[tex]\implies y=-\dfrac{115}{3}x+\dfrac{2935}{3}[/tex]
Related Questions
Please help on this question
Answers
The congruent parts of the triangle are:
<A ≅ < Y
< B ≅ <Z
< C≅ <X
AB ≅ YZ
AC ≅ YX
BC ≅ ZX
]ABC ≅ YZX
What are the congruent parts?The shape in the image are right angle triangles. A right angle triangle is a triangle that has three sides and a right angle. Congruent triangles are triangles that have the same size and the angles.
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Mrs. culland is finding the center of a circle whose equation is x2 y2 6x 4y – 3 = 0 by completing the square. her work is shown. x2 y2 6x 4y – 3 = 0 x2 6x y2 4y – 3 = 0 (x2 6x) (y2 4y) = 3 (x2 6x 9) (y2 4y 4) = 3 9 4 which completes the work correctly? (x – 3)2 (y – 2)2 = 42, so the center is (3, 2). (x 3)2 (y 2)2 = 42, so the center is (3, 2). (x – 3)2 (y – 2)2 = 42, so the center is (–3, –2). (x 3)2 (y 2)2 = 42, so the center is (–3, –2).
Answers
By completing squares, we will see that the center of the given circle is at (-3, -2).
How to find the center of the circle?
The general circle equation centered on (a, b) of radius R is:
[tex](x - a)^2 + (y - b)^2 = R^2[/tex]
In this case, our equation is:
[tex]x^2 + y^2 + 6x + 4y - 3 = 0[/tex]
First, we need to complete squares, we will have:
[tex]x^2 + 2*3*x + y^2 + 2*2*y - 3 = 0\\\\x^2 + 2*3*x + (9 - 9) + y^2 + 2*2*y + (4 - 4) - 3 = 0\\\\(x^2 + 2*3*x + 9) - 9 + (y^2 + 2*2*y + 4) - 4 - 3 = 0\\\\(x + 3)^2 + (y + 2)^2 = 3 + 9 + 4 = 16[/tex]
Then, by looking at the left side, we can see that the center of the circle is (-3, -2).
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Answer:
d
Step-by-step explanation:
got it right on edge
help for this question fr
Answers
Answer:
(x + 16)° = 141°
Step-by-step explanation:
Given figure is of octagonSum of interior angles of an octagon is 1080°-> 5x° + 455° = 1080°-> 5x° = 1080° - 455°->5x° = 625°-> x° = 625°/5x° = 125°x = 125-> (x + 16)° = (125 + 16)° -> (x + 16)° = 141°The fifth-grade classes at Martinez
Elementary School are going to take
a short tethered ride in a hot-air
balloon. The balloon can hold three
students at a time. If there are one
hundred twenty-six students in the
fifth grade, how many rides will have
to be taken in order for every student
to have a turn?
Answers
Evaluate for f(-2)
F(x) = x2 - 4
Answers
Answer:
f(-2) = 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify given function.
f(x) = x² - 4
Step 2: Find f(-2)
[Function] Substitute in x:f(-2) = (-2)² - 4Evaluate exponents:
f(-2) = 4 - 4Subtract:
f(-2) = 0
∴ the function when x = -2 is equal to 0.
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Topic: Algebra I
if 2sin theta+1=0 and 90°270° calculate a) 4cos²theta. b) 81tan²theta
Answers
Answer:
A) [tex]4\cos^2\theta=3[/tex]
B) [tex]81\tan^2\theta=27[/tex]
Step-by-step explanation:
[tex]\displaystyle 2\sin\theta+1=0;\:90^\circ \leq\theta\leq 270^\circ\\\\2\sin\theta=1\\\\\sin\theta=\frac{1}{2}\\ \\\theta=\frac{5\pi}{6}[/tex]
[tex]\displaystyle 4\cos^2\theta=4\cos^2\biggr(\frac{5\pi}{6}\biggr)=4\biggr(-\frac{\sqrt{3}}{2}\biggr)^2=4\biggr(\frac{3}{4}\biggr)=3[/tex]
[tex]\displaystyle 81\tan^2\theta=81\tan^2\biggr(\frac{5\pi}{6}\biggr)=81\biggr(-\frac{\sqrt{3}}{3}\biggr)^2=81\biggr(\frac{3}{9}\biggr)=81\biggr(\frac{1}{3}\biggr)=\frac{81}{3}=27[/tex]
What is the area of this composite figure ?
21 yd
21 yd
10 yd
Answers
Answer:
area is 630
we can multiply 2 1 by 21= 63 by 10=630
1) The graph of a quadratic f(x) intersects the x-axis at -2 and 10. What is a possible
equation for f(x)?
fx) =
Answers
Answer:
The polynomial f(x) = x^2 - 8x - 20
Shannon has a collection of sports cards. Last month, she had 50 sports cards. Since last month, her collection has decreased by 46%. How many sports cards does Shannon have now?
Answers
Shannon now has 26.7 sports cards now
Please help.... this is confusing me:0
Answers
Answer:
See below
Step-by-step explanation:
IN a right triangle , remember S-O-H-C-A-H-T-O-A <===memorize this!
sin z = O/H = opposite side/hypotenuse = 16/20
cos z = A/H = adjacent / hy[potenuse = 12/20
tan z = O/A = 16/12
If you throw 3 dice, the probability of getting 3 sixes is 0.5%. The probability of getting no sixes is 57.9%. Find the probability of getting:
A) fewer than 3 sixes
B) at least 1 six
Answers
Answer:
A) 99.5%
B) 42.1%
Step-by-step explanation:
A) Since the probability of 3 sixes is 0.5%, the probability of less than 3 sixes (that is, zero, one, or two sixes) is 100% - 0.5%, or 99.5%
B ) Since the probability of no sixes is 57.9%, the probability of at least 1 six is 100% - 57.9%, or 42.1%
Sam wants to surround his garden with fencing. He is using a drawing with a scale factor of 4 feet for every 1 inch.
2 in
4 in
Select the exact amount of fencing, in feet, Sam will need to surround the garden.
10 feet
© 16 feet
© 24 feet
48 feet
Answers
Answer:
C. 24
Step-by-step explanation:
Can you please help me with 12 please?
Answers
The expression for the 12 more than half of the postcard will be written as:- P/2+12=P
What is an expression?The expression is defined as the relationship between the numbers and variables and is arranged in the form of an equation.
here we have the words in the question to convert it into an expression that is 12 more than half of the postcard.
The expression will be written as:-
P/2+12=P
Hence expression for the 12 more than half of the postcard will be written as:- P/2+12=P
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Help asap please :)))
Answers
Answer:
it will be figure 3
Step-by-step explanation:
it is the odd one of them, with inner concave
A study of the annual population of bees in a county park shows the population, B(t),
is declining due to pesticide usage and can be represented by the function
B(t) = 1872(.83)*, where the t represents the number of years since the study
started. Based on the function, what is the percent the bees population declines by each
year?
Answers
Answer:
yor mom
Step-by-step explanation:
The function B(t) = 1872(0.83)[tex].^t[/tex] represents the annual population of bees in a county park, the decline rate is 17%.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
The decline rate will be calculated as below:-
An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
From the function :
b = 0.83
The decline rate will be calculated as,
Decline rate = 1 - 0.83 = 0.17 x 100 = 17%
The function B(t) = 1872(0.83)[tex].^t[/tex] represents the annual population of bees in a county park, the decline rate is 17%.
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Which is an example of a living expense?
O A. A concert ticket
O B. A subway pass
O C. A streaming service
O D. A newspaper subscription
Answers
Does anybody know this?Find the measure of the following arcs.
Answers
Answer:
see explanation
Step-by-step explanation:
an arc of a circle is equal to the central angle subtended by the arc
central angle of arc ED = 50° ( vertically opposite angles )
then
arc ED = 50°
the central angle of arc BC = 180° - 40° - 50° = 180° - 90° = 90°
then
arc BC = 90°
the central angle subtended by arc AE = 180° - 50° = 130°
then arc AE = 130°
arc BED = arc BA + arc AE + arc ED = 50° + 130° + 50° = 230°
Graph the inequality.
0 < y + 4x <6
Answers
After I graphed it gave me - y>−4x
- Appreciate if you rate.
17) Mr. Kim's age
in years is 6 more the 3 times the age of his daughter. Which expression represents Mr. Kim’s age?
Answers
Answer:
K = 3D + 6
Step-by-step explanation:
Let Mr Kim's age be denoted by K and his daughter by D.
It states that :
Mr. Kim's age is 6 more (+ 6) than 3 times (× 3) the age of his daughterThen the expression will be :
K = 3D + 6Hello I need help with this math question
Answers
Answer:
c obtuse angle
Step-by-step explanation:
Answer: C, Obtuse Angle
Step-by-step explanation: A right angle is an angle with 90 degrees, which this is not.
An acute angle is an angle with LESS than 90 degrees, which is also incorrect.
An obtuse angle is an angle with MORE than 90 degrees, which is correct because the angle is more than 90 degrees.
A straight angle is just a straight line, which this angle is not.
Please help!
Find the distance between the points.
(-2.5,3),(5,3)
The distance is ____
Answers
Answer:
7.5 units
Step-by-step explanation:
since the y- coordinates of the points are equal, then the distance between them is the absolute value of the difference in the x- coordinates.
distance = | - 2.5 - 5 | = | - 7.5 | = 7.5
or
distance = | 5 - (- 2.5) | = | 5 + 2.5 | = | 7.5 | = 7.5
Find the radius with a volume of 180 cubic feet. Round your answer to the nearest tenth.
I need help! Quick!
Answers
Answer:
3.5 i think
Step-by-step explanation:
r=(3V
4π)⅓=(3·180
4·π)⅓≈3.50263
If wandas motherly take-home is $3,000 her fixed monthly expenses are $2,575 and get average monthly variable expenses are $855 what is her financial situation?
Answers
what is the range of this function?
Answers
Answer:
B.
Step-by-step explanation:
The range is all real numbers
It will indefinitely go up and indefinitely go down
Solve the following equation by completing the square.
x(x-5)=14
Answers
Answer:
[tex]x_1=-2,\: x_2=7[/tex]
Step-by-step explanation:
[tex]x(x-5)=14\\\\x^2-5x=14\\\\x^2-5x+(\frac{-5}{2})^2 =14+(\frac{-5}{2})^2\\\\x^2-5x+\frac{25}{4}=14+\frac{25}{4}\\\\x^2-5x+\frac{25}{4}=\frac{81}{4}\\ \\(x-\frac{5}{2})^2=\frac{81}{4}\\ \\x-\frac{5}{2}=\pm\frac{9}{2}\\ \\x=\frac{5}{2}\pm\frac{9}{2}\\ \\x_1=-2,\: x_2=7[/tex]
Can someone help me with this problem? Thank you!
Answers
Answer:
Perimeter = 61 7/20
Step-by-step explanation:
Perimeter is the distance around the outside of a shape. Add up all the sides. To add fractions you must have a common denominator. See image.
Help me on this math problem please!! DUE TONIGHT!! Write an equation!
Answers
Answer:
(3x+8)°+(x+4)° = 180,
x=42
Step-by-step explanation:
They are linear pairs, so the two angles are supplementary or add up to 180°.
1. Format the equation (3x+8)°+(x+4)° = 180
2. Simplify like terms 4x + 12 = 180
3. Subtract 12 on both sides, 4x=168
4. Divide 4 on both sides, x=42
5. Answer is x=42
-x -x
2x+8=4
-4 -4
2x=4
x=2
Which is the simplified form of m^-8p^0
Answers
Answer: Heyaa!! ~
Your Answer is... 1/m^8 which is the b or the second answer!
Step-by-step explanation:
Simplify the expression.
Hopefully this helps you!
-Matthew ^^
Janelle has one dime and several nickels in her coin purse. The table below describes the relationship between the number of nickels, n, and the total value of the coins in her coin
purse in cents, c
If Janelle has 8 nickels in her coin purso, what is the total value of the coins?
52 cents
50 cents
48 cents
46 cents
Answers
Answer:
Graph the solution set for the inequalityy > 2x - 5 by following these steps: Step 1: Identifythe slope and y-intercept. slope = y-intercept = -4. 2.
Step-by-step explanation:
whats is the answer to
5.8/3t +6=3.8t+4.32
Answers
Answer:
t=0.9
Step-by-step explanation:
