how do you find the equation of a linear model when given the graph but not the equation
Answers
y= mx+b
first off, you can find the y intercept, which is the number at which the line crosses the y axis. that is the b value.
the m value is the slope. slope is rise/run, which simply means the # of units it goes up/down, divided by the # of units it goes right/left.
so, after knowing your m and b values, you can plug it in the formula given above, and that's how you will end up w the equation of a line. I hope this helped!! x
We want to see how to find a linear equation by only looking at the line graph.
First, a general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we know that the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope of that line is given by:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Then the line is something like:
[tex]y = (\frac{y_2 - y_1}{x_2 - x_1})*x + b[/tex]
To get the value of b, we use the fact that if the function passes through (x₁, y₁), it means that when x = x₁ we also must have y = y₁, replacing that in the equation we get:
[tex]y_1 = (\frac{y_2 - y_1}{x_2 - x_1})*x_1 + b\\\\y_1 - (\frac{y_2 - y_1}{x_2 - x_1})*x_1 = b[/tex]
Then the linear equation is:
[tex]y = (\frac{y_2 - y_1}{x_2 - x_1})*x + y_1 - (\frac{y_2 - y_1}{x_2 - x_1})*x_1[/tex]
So what we need to do is just look at the graph and find two points, then you can use the above guide to find the linear equation.
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Related Questions
Factor y3−9y2+y−9 by grouping.
Answers
[tex]= y^3 + y - 9y^2 -9 [/tex]
[tex]= y(y^2+1) - 9(y^2+1) [/tex]
[tex]= (y - 9)(y^2+1)[/tex]
Final answer:
To factor the expression y^3 - 9y^2 + y - 9 by grouping, divide it into two groups, factor out common factors, and note that (y - 9) is common to both, yielding the final factored form (y^2 + 1)(y - 9).
Explanation:
To factor by grouping the expression y3 − 9y2 + y − 9, we first split it into two parts where common factors are apparent:
(y3 − 9y2) and (y − 9)
Next, we factor out the common factors from each group:
y2(y − 9) + 1(y − 9)
Now, we notice that (y − 9) is a common factor in both terms. So, we factor (y − 9) out of the entire expression:
(y2 + 1)(y − 9)
This gives us the final factored form of y3 − 9y2 + y − 9, which is (y2 + 1)(y − 9).
Azul performed an experiment to determine which crank powered radio works best he crank 15 randomly selected radios of each branch 30 times at the same speed and measured how long the radio played in minutes before running out pal the results of the experiment are displayed in the box plot below which descriptions most accurately summarizes the sample results
Answers
75% of secure hike emergency radios are likely to play 30 minutes or longer after 30 cranks, while only 50% of streamline crank radios are likely to play 30 minutes or longer after 30 cranks.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that Azul performed an experiment to determine which crank powered radio works best he crank 15 randomly selected radios of each branch 30 times at the same speed.
He measured how long the radio played in minutes before running out pal the results of the experiment are displayed in the box plot.
The sample results show that the crank powered radio of Branch A had a slightly higher average play time than the crank powered radio of Branch B, with a median play time of around 9 minutes and a range of 4-16 minutes.
75% of secure hike emergency radios are likely to play 30 minutes or longer after 30 cranks, while only 50% of streamline crank radios are likely to play 30 minutes or longer after 30 cranks.
Hence, 75% of secure hike emergency radios are likely to play 30 minutes or longer after 30 cranks, while only 50% of streamline crank radios are likely to play 30 minutes or longer after 30 cranks.
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Azul performed an experiment to determine which crank powered radio works best. He cranked 15 randomly selected radios of each brand 30 times at the same speed and measured how long the radios played in minutes before running out of power. The result of the experiment is displayed in the box plot below.
Secure hike emergency radio 4.0 21,22,24,25,25,25,25,26,27,29,30,30,30,30,33
Streamline radio 25,25,27,28,29,30,30,30,34,36,36,38,39,42
A. 50% of streamline crank radios are likely to play 30 minutes or longer after 30 cranks, while only 25% of secure hike emergency radios ARE LIKELY to play 30 minutes or longer after 30 cranks.
B. 75% of secure hike emergency radios ARE LIKELY to play 30 minutes or longer after 30 cranks, while only 50% of streamline crank radios ARE LIKELY to play 30 minutes or longer after 30 cranks.
C. 100%of x- streamline crank radios ARE LIKELY to play 30 minutes or longer after 30 cranks, while only 25% of secure hike radios ARE LIKELY to play 30 minutes or longer after 30 cranks.
please help fast i will mark brainliest
Answers
The best answer is: "D"
A number that is divisible by 9 is also divisible by 3 because 3 is a factor of 9.
All of the numbers divisible by 9 are also divisible by 3, so "B" and "C" can be ruled out. Not all of the factors of 9 are factors of 3. 9 is a factor of 9. 9 is NOT a factor of 3.
I hope this helps!
~kaikers
Using the variables 'x' and 'y', write an equation for the situation. The ticket sales equaled $2242. Adult tickets $250 and student tickets cost $2.
Answers
Hope this Helps! :)
How many numbers are written from n to k, including n and k?
Answers
Answer:
k-n
Step-by-step explanation:
Answer:
k-n-1
Step-by-step explanation:
This is what I think based on other formulas
please help I'll give brainliest
The population of Ashmore was 925 in 2000 and 1028 in 2001. The linear model of Ashmore's population is p=103t+925, where t is the years since 2000.
Find an exponential model, in the form P=a(b)t, for Ashmore's population t-years after 2000. Round b to the nearest thousandth.
Answers
To find the exponential model for Ashmore's population, rewrite the linear model as p = a(b)^t and solve for a and b. In this case, a is equal to 925 and b is approximately 1.111.
Explanation:To find the exponential model for Ashmore's population, we need to express it in the form P = a(b)^t. We know that in the linear model, p = 103t + 925. To convert this to an exponential model, we need to rewrite it in the form p = a(b)^t. To do this, we need to find the values of a and b.
From the linear model, we can see that when t = 0 (in the year 2000), p = 925. This gives us the equation 925 = a(b)^0. Since any number raised to the power of 0 is 1, we can simplify this equation to a = 925.
Next, we need to find the value of b. We can do this by substituting the given values of p and t from the year 2001 (p = 1028 and t = 1) into the exponential model. This gives us the equation 1028 = 925(b)^1. Dividing both sides by 925, we get b ≈ 1.11.
Therefore, the exponential model for Ashmore's population is P = 925(1.11)^t. Rounded to the nearest thousandth, b ≈ 1.111.
The exponential model for the population of Ashmore t years after 2000 is P=925(1.111)^t, where a is the initial population 925, and b is the growth rate rounded to the nearest thousandth, which is 1.111.
Explanation:To find an exponential model for Ashmore's population in the form P=a(b)^t, where P is the population t years after 2000, we need to use the given data points: 925 in 2000 and 1028 in 2001.
First, let's establish our initial population a as the population at t=0, which is 925. Now we need to find the growth rate b. Since the population in 2001 is 1028, we have one growth period, which is t=1. We can write the equation for 2001 as 1028 = 925b. Dividing both sides by 925 gives us b = 1028 / 925 ≈ 1.111.
For simplicity and to follow instructions, we will round b to the nearest thousandth, giving us b ≈ 1.111. Therefore, the exponential model is P=925(1.111)^t.
please select the best answer from the choices provided
Answers
2:d hope this helps
To solve for z, add the equations for VC and CW (z + 13 and z + 8 respectively) and set them equal to VW (61). Solve the resulting equation to get z = 20.
To solve for z when point C is between V and W on line w, with VW = 61, VC = z + 13, and CW = z + 8, you need to set up an equation knowing that VC + CW is equal to VW.
Identify the known: VW = 61.Identify the unknown: z in the expression for VC and CW.Choose the appropriate equation: VC + CW = VW.Substitute the expressions for VC and CW: (z + 13) + (z + 8) = 61.Simplify and solve for z: 2z + 21 = 61, so 2z = 40, and z = 20.Therefore, the value of z is 20.
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What’s the difference between an inscribed and circumscribed circle
Answers
How many hours did it take him to finish the project?
Answers
Multiply 5 by 3 for the 300%, getting 15 hours, and add 1 for the 20%.
He spent 16 hours on the project. Hope this helps!
is 34.653 greater than, less than, or equal to 3.4653
Answers
The difference between 34.653 and 3.4653 is positive thus,34.653 > 3.4653.
What is a number system?
The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
As per the given, 34.653 and 3.4653
If the difference of x - y is positive then, x - y > 0 or x > y
Since 34.653 - 3.4653 > 0
34.653 > 3.4653
Hence "The difference between 34.653 and 3.4653 is positive thus,34.653 > 3.4653".
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play rehearsal started at 8:12 pm and ended at 10:05 pm. how long did play rehearsal last?
Answers
pete spends 3/5 of his monthy pay on rent, 1/8 on bills and then spends half of what is left on food. if his monthly pay is $820, how much does he have left at the end of the month?
Answers
24/40 + 5/40 = 29/40 rent and bills
What's left is 40/40 - 29/40 = 11/40
half that goes to grocery leaving 11/80
820 * 11/80 = 112.75
Find the area of the irregular shape
Answers
A = bh
A = 10(2)
A = 20
A = 3(3)
A = 9
Total A = 20 + 9
Total A = 29
Answer:
29 units²
it is 29
Jimmy invest $16,000 in an account that pays 7.03% compounded quarterly. How long (in years and months) will it take for his investment to reach $23,000?
Answers
where:
[tex]P[/tex] is the investment
[tex]r[/tex] is the interest rate in decimal form
[tex]n[/tex] is the number of times the interest is compounded per year
[tex]t[/tex] is the time in years
[tex]A[/tex] is the amount after [tex]t[/tex] years
First, lets convert the interest rate to decimal dividing it by 100%:
[tex]r= \frac{7.03}{100} =0.0703[/tex]
Next, lets find [tex]n[/tex]. Since we know that the interest is compounded every 4 months (quarterly), it will be compounded [tex] \frac{12}{4} =3[/tex] times in a year, so [tex]n=4[/tex].
We also know that [tex]A=23000[/tex] and [tex]P=16000[/tex], so lets replace all the quantities into our compound interest formula:
[tex]25000=16000(1+ \frac{0.0703}{3})^{3t} [/tex]
[tex]25000=16000(1.0234)^{3t} [/tex]
Notice that the the number of years [tex]t[/tex] is in the exponent, so we have to use logarithms to bring it down. But first lets divide both sides by 16000 to isolate the exponential expression:
[tex] \frac{25000}{16000} =(1.0234)^{3t} [/tex]
[tex](1.0234)^{3t} = \frac{25}{16} [/tex]
[tex]ln(1.0234)^{3t} =ln( \frac{25}{16} )[/tex]
[tex]t= \frac{ln( \frac{25}{16}) }{3ln(1.0234)} [/tex]
[tex]t=6.43[/tex]
Now that we know [tex]t=6.43[/tex], the last thing to do is convert 0.43 years to months:
[tex](0.43 years)( \frac{12months}{1year} )=5.16months[/tex]
We can conclude that Jimmy's investment will take 6 years and 5 months to reach $25,000.
A bike wheel is 26 inches it in diameter what is the bikes with your diameter in millimeters
Answers
To convert the bike wheel diameter from inches to millimeters, multiply 26 inches by the conversion factor of 25.4 mm/inch, resulting in a diameter of 660.4 mm.
Explanation:To convert the diameter of a bike wheel from inches to millimeters, we use the conversion factor that 1 inch is equal to 25.4 millimeters. Hence, we multiply the diameter in inches by this conversion factor.
The calculation will be:
Multiply the diameter in inches (26 inches) by the conversion factor (25.4 mm/inch).The diameter in millimeters is 660.4 mm (26 inches × 25.4 mm/inch).Therefore, the diameter of the bike wheel is 660.4 millimeters.
Liam’s football team scored a total of 43 separate times this season, with a mix of touchdowns and field goals. Each touchdown is worth 7 points, and each field goal is worth 3 points. If the team scored a total of 301 points this season, how many touchdowns and field goals did they score?
Answers
Let a = number of touchdowns
Let b = number of field goals
a + b = 43
7a + 3b = 301
We can solve this system using the elimination method.
1. a + b - b = 43 + -b (add - b to both sides)
a = -b + 43
2. substitute -b + 43 for a in 7a + 3b = 301
7 (-b +43) + 3b = 301
-4b + 301 = 301 (simplify both sides of the equation)
-4b + 301 - 301 = 301 - 301 (add -301 to both sides)
-4b = 0
b = 0
Since b = 0, and b is the number of field goals, we know that Liam's team did not score any field goals. Which means the only points from his team came from touchdowns. So, 43 touchdowns were scored, and 0 field goals were scored, for a total of 301 points.
The football team scored 43 times this season, comprising solely of touchdowns worth 7 points each, totalling to 301 points. The team did not score any field goals worth 3 points.
Explanation:This problem can be solved using systems of linear equations. We have two equations here: 1. The total number of times the team scored, which is touchdowns(T) plus field goals(F) equals 43 (T+F=43). 2. The total points the team made, each touchdown being 7 points and each field goal being 3 points, equals 301 (7T + 3F = 301). By solving this system of equations, we can find the number of touchdowns and field goals.
From the first equation (T + F = 43), we can express T as (43 - F). Substitute T in the second equation: 7(43 - F) + 3F = 301, which simplifies to 301 = 301 - 4F. By rearranging, we get 4F = 0. Hence, F = 0. Returning to the first equation, T = 43 - F. As F=0, T = 43.
Thus, the team scored 43 touchdowns and 0 field goals.
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Triangle ABC has vertices A(1,4), B(−2,4) , and C(−1,−1) . A dilation with a scale factor of 0.25 and center at the origin is applied to the triangle.
What are the coordinates of B' in the dilated image?
Enter your answer in the boxes.
B' has a coordinate pair of (
,
)
Answers
The graph below shows the numbers of cups of mango juice that are mixed with different numbers of cups of lemon-lime soda to make servings of mango soda:
What is the ratio of the number of cups of mango juice to the number of cups of lemon-lime soda?
A.1:40
B.10:1
C.40:1
D.1:10
Answers
Answer:
(B)
Step-by-step explanation:
In the given graph, it is shown the number of cups of mango juice are mixed with different numbers o cups of lemon juice.
Then, From the graph, at Point(10,1),
Ratio of the cups of mango juice to the number of cups of lemon juice soda=[tex]\frac{10}{1}[/tex]
=10:1
At point (20,2)
Ratio of the cups of mango juice to the number of cups of lemon juice soda=[tex]\frac{20}{2}=\frac{10}{1}[/tex]
=10:1
At point (30,3)
Ratio of the cups of mango juice to the number of cups of lemon juice soda=[tex]\frac{30}{3}=\frac{10}{1}[/tex]
=10:1
At point (40,4)
Ratio of the cups of mango juice to the number of cups of lemon juice soda=[tex]\frac{40}{4}=\frac{10}{1}[/tex]
=10:1
Thus, Option B is correct.
Answer:
B
Step-by-step explanation:
In the given graph, it is shown the number of cups of mango juice are mixed with different numbers o cups of lemon juice.
Then, From the graph, at Point(10,1),
Ratio of the cups of mango juice to the number of cups of lemon juice soda=
=10:1
At point (20,2)
Ratio of the cups of mango juice to the number of cups of lemon juice soda=
=10:1
At point (30,3)
Ratio of the cups of mango juice to the number of cups of lemon juice soda=
=10:1
At point (40,4)
Ratio of the cups of mango juice to the number of cups of lemon juice soda=
=10:1
Thus, Option B is correct.
A solid has 14 faces and 12 vertices. How many edges does the solid have
Answers
14 + (12 - x) = 2
12 - x = 2 - 14
12 - x = - 12
- x = -12 - 12
-x = - 24
x = 24
There would be 24 edges.
(Credit to Taskmasters who answered a question similar previously)
An item costs $380 before tax and sales tax is $11.40. Find the sales tax rate. Write answer as a percentage.
Answers
chris are 1/8 of a banana cream pie with a 1/4 diameter. what is the area of the remaining portion of the pie
plz show work
Answers
Here is the formula to find the area:
A = pi x r^2
22/7 x 1/8^2
A = 11/224 square units is the area.
7/8 x 11/224 = 11/256 square units is the area of the original pie.
Answer:153.9
Step-by-step explanations equation A=pi×r^2
A=pi×7^2
A=pi×79
A=153.9 i round
Daniel wants to simplify this expression. Which like terms can he combine? 12ab - 8a + 3ab
Answers
which ones are the same, you combine them
ab and ab are the same so you combine them
15ab - 8a
That's the least you can simplify this expression
Hope this helps :)
Which of the proportions below could be used to convert 4200 kilograms to grams?
A. 1000/1 = x/4200
B. 100/1 = x/4200
C.1/100 = x/4200
D. 1/10 = x/4200
Answers
1000/1 = x/4200
x = 4200 x 1000
x = 4200000grams
T-Mobile has a family plan of four lines for $120 and additional lines are $10 each per month if Jason wants to spend at most $175 per month on a cell phone expenses , how many additional lines can he afford answer using Comlpete sentences
Answers
175-120=55
55/10=5.5 so He can not afford more than 5 more additional lines.
Ellie uses 12.5 lb of potatoes to make mashed potatoes she uses 1/10 as many pounds of butter as potatoes how many pounds of butter does Ellie use
Answers
2times 2 1/3 as a mixed number
Answers
2 1/3 = 2 x 3 + 1 all over 3 = 7/3
2 x 7/3 = 2 x 7 / 1 x 3 = 14/3 = 4 2/3
First turn the mixed number into a fraction, which is 7/3
We need to turn 2 into a fraction, so we put it over a 1, so 2/1.
Now we multiply and simplify , which is 14/3
Which gives us a mixed number of 4 2/3
Hope this helped, have fun and STAY SMART! =P
The lengthy of a rectangle is 2 times its width. The area of the rectangle is 72 square inches. Find the dimensions of the rectangle
Answers
l= 2w= length
Area= length * width
substitute l= 2w for the length
72= 2w * w
72= 2w^2
divide both sides by 2
36= w^2
take the square root of both sides
6 inches= w
Substitute to find length:
2w= 2(6)= 12 inches
CHECK:
72= 6 * 12
72= 72
ANSWER:
Width= 6 inches; Length= 12 inches
Hope this helps! :)
The width of the rectangle is 6 inches and the length is 12 inches.
Explanation:To find the dimensions of the rectangle, we can use the fact that the length is 2 times the width. Let's define the width as 'w' inches. According to the problem, the length is 2 times the width, so the length would be '2w' inches. The area of a rectangle is calculated by multiplying the length and the width, so we can set up the equation: 'w * 2w = 72'. Solving this equation, we find that 'w' equals 6 inches. Therefore, the width of the rectangle is 6 inches and the length is 2 times that, which is 12 inches.
Problem Safety standards require a pool to add 3 chlorine tablets to every 2,000 gallons of water. Today, the lifeguards at Park Pool added 8 chlorine tablets to their pool's 10,000 gallons of water. How does Park Pool's chlorine compare to the safety standards?
Answers
10,000 gallons of water is 5 times more than 2,000. So to achieve the safety standards , Park's pool must have 5 times the amount of chlorine it's necessary for 2.000 gallons.
3 chlorine tablets × 5 = 15 tablets
Mark would need to put 15 chlorine tablets to achieve safety standards
I hope you understood my brief explanation . And please consider marking this awnser as Branliest. Thank you! :)
Answer:
In the park's pool there are 7 less chlorine tablets as compared to safety standards.
Step-by-step explanation:
Number of chlorine tablets in 2,000 gallons water = 3 tablets
Number of tablets in 1 gallon of water = [tex]\frac{3}{2,000} tablets[/tex]
Number of tablet to be added in 10,000 gallons of water :
[tex]\frac{3}{2,000}\times 10,000 tablets=15 tablets[/tex]
Number of chlorine tablets added by lifeguard in 10,000 gallon water=8 tablets
Tablets of chlorine to be more added =
=15 tablets - 8 tablets = 7 tablets
In the park's pool there are 7 less chlorine tablets as compared to safety standards.
HELP FAST 30 POINTS I WILL MARK BRAINLEST
1.A rectangle is 13 yards long and 23 yards wide.
What is the area of the rectangle?
2.Julia bought name tags for a party. Each name tag is 334 inches wide and 213 inches high.
The formula for the area of a rectangle is A=bh.
what is the area of one name tag?
3.A rectangle is 24.6 m long and 8.65 m wide.
What is the area of the rectangle?
A 66.50 m2
B74.82 m2
C 212.79 m2
D 605.16 m2
4.Miguel ordered a rectangular print for his bedroom. The print is 78 feet wide and 135 feet long.
What is the area of the print?
5.Maren is buying carpet for her rectangular living room. The room is 4.8 yards wide and 5.2 yards long.
How much carpet does she need to buy?
Answers
2. A=334*213=71,142
3 A=L*W=24.6*8.65=212.79 CHOICE C
4 A=L*W=78*135=10,530
5 A=L*W=4.8*5.2=24.96 SQUARE YARDS OF CARPET
To find the area of rectangles, use the formula A = b * h. Each problem was solved using this formula, leading to areas of 299 sq yards, 71,142 sq inches, 212.79 sq meters, 10,530 sq feet, and 24.96 sq yards respectively.
Let's solve each of the given problems step-by-step using the formula for the area of a rectangle, which is A = b * h where A is the area, b is the base (or length), and h is the height (or width).
For the rectangle with a length of 13 yards and a width of 23 yards, the area is:
A = 13 * 23 = 299 square yards
For the name tag with dimensions 334 inches by 213 inches, the area is:
A = 334 * 213 = 71,142 square inches
For the rectangle with a length of 24.6 meters and a width of 8.65 meters, the area is:
A = 24.6 * 8.65 = 212.79 square meters
Thus, the correct choice is C 212.79 m².
For the rectangular print with dimensions 78 feet by 135 feet, the area is:
A = 78 * 135 = 10,530 square feet
For the living room that is 4.8 yards wide and 5.2 yards long, the area is:
A = 4.8 * 5.2 = 24.96 square yards
Summary of Answers:
299 square yards7.1142 square inches212.79 square meters10,530 square feet24.96 square yardswhat is 2 3/4 in simplest form