write the equation of the line in fully simplified slope-intercept form…. pleaseee help
Answer:
y = -x + 2
Step-by-step explanation:
Given the two points on the graph, (-2, 4) and (0, 2), we can start by solving for the slope of the line.
Let (x₁, y₁) = (-2, 4)
(x₂, y₂) = (0, 2)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (2 - 4) / [0 - (-2)]
m = -2/ (0 + 2)
m = -2/2 = -1
Therefore, the slope of the line is -1.
Next, we need to determine the y-intercept of the line, which is the point on the graph where it crosses the y-axis. Upon observing the graph, it is evident that it crosses the y-axis at point (0, 2), which happens to be one of the points we used to solve for the slope. Its y-coordinate, y = 2, is what we will use as the value of b in the slope-intercept form, y = mx + b.
Therefore, given the slope, m = -1, and the y-intercept, b = 2, the equation of the line is:
y = -x + 219
Adam, Linda and Rytis share an amount of money,
Linda gets three times as much money as Rytis gets.
Linda gets half as much money as Adam gets.
What fraction of the amount of money does Linda gek?
Answer:
3/10
Step-by-step explanation:
From the question :
Let amount rytis get = x
Hence, amount Linda gets = 3x
Hence, amount Adam gets = 2 times what Linda gets = 2(3x) = 6x
Hence, total amount shared :
x + 3x + 6x = 10x
Amount Linda got = 3x
Therefore, fraction Linda gets = Amount gotten by Linda / total amount = 3x / 10x = 3/10
Hence, fraction gotten by Linda = 3/10
The fraction of the amount of money does Linda gets is 3/10 and this can be determined by using the arithmetic operations.
Given :
Adam, Linda, and Rytis share an amount of money, Linda gets three times as much money as Rytis gets. Linda gets half as much money as Adam gets.The following steps can be used in order to determine the fraction of the amount of money does Linda get:
Step 1 - Let the total amount of money Rytis get be 'x'.
Step 2 - So according to the given data, the total money Linda has is 3x.
Step 3 - According to the given data, the total money Adam has is 2(3x).
Step 4 - So, the total amount of money shared is:
x + 3x + 6x = 10x
Step 5 - So, the fraction of the amount of money does Linda get is:
\(\rm =\dfrac{3x}{10x}\)
\(= \dfrac{3}{10}\)
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Tanya performs two transformations on ABC to form A"B" and C" as shown on the coordinate grid below.
the transformation ABC is not similar to A”B”C”. hence the statement is false.
How do we know?We say the statement is false because the ratios of the grid squares are not similar.
We notice that the first triangle is up to over 3 and the other triangle is up 4 over 4 so in order for them to be similar the first triangle would have to be up 3 over 3.
A transformation is described as a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
#complete question:
Please help this is due today and I’m so stressed!I will mark Branliest!!!
Tanya performs two transformations on ABC to form A"B"C" as shown on the coordinate grid below.
True or False:ABC is similar to A”B”C”?
If a person travels 440 meters in 11 seconds, what is the average speed of the person?
Step-by-step explanation:
speed=distance÷time
A.V.S=440÷11=40m/s
hope it helps.. Please mark brainliest.
Answer:
40 m/s
Step-by-step explanation:
Find:
We are asked to find the unit rate, How many meters per 1 second?
Know:
440 meters in 11 seconds
Solve:
440 meters in 11 seconds
? meters in 1 second
440/11 = 40 meters per second
Answer:
The average speed of the person is 40 m/s
What values of x solve the equation f (x) = 1
What value of x makes this equation true? 7x=56
Answer:
x=8
Step-by-step explanation:
7x=56
divide both sides by 7
56/7=8
x=8
Answer:
x=8
Step-by-step explanation:
divide both sides of the equation by 7
7x=56
(7x)/7=56/7
x=56/7
x=8
The following are the annual incomes (in thousands of dollars) for 8 randomly chosen, U.S. adults employed full-time.
44, 44, 54, 54, 65, 39, 54, 44
Send data to calculator
(a) What is the mean of this data set? If your answer is not an
integer, round your answer to one decimal place.
(b) What is the median of this data set? If your answer is not
an integer, round your answer to one decimal place.
(c) How many modes does the data set have, and what are
their values? Indicate the number of modes by clicking in the
appropriate dircle, and then indicate the value(s) of the
mode(s), if applicable.
0
Zero modes
one mode:
Two modes:
Answer:
(a) To find the mean of the data set, sum up all the values and divide by the total number of values.
44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398
Mean = 398 / 8 = 49.75
Rounded to one decimal place, the mean of this data set is 49.8.
(b) To find the median of the data set, i need to arrange the values in ascending order first:
39, 44, 44, 44, 54, 54, 54, 65
The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:
(44 + 54) / 2 = 98 / 2 = 49
Rounded to one decimal place, the median of this data set is 49.0.
(c) To determine the modes of the data set, identify the values that appear most frequently.
In this case, the mode refers to the value(s) that occur(s) with the highest frequency.
From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.
Drag the operator to the correct location on the image. Which operation results in a trinomial?
Answer:
-
Step-by-step explanation:
I took the test
The correct operator that enters a circle is a subtraction sign.
Given the expressions
\((4x^5-8x) ()(3x^2-8x+9)\)
We need to know which sign goes into the bracket that will give a trinomial when simplified.
A trinomial is a function containing 3-terms.
Using the subtraction sign.
\((4x^5-8x) - (3x^2-8x+9)\)
Expand
\(= 4x^5-8x - 3x^2+8x-9\\= 4x^5-3x^2-8x+8x-9\\=4x^5-3x^2+0-9\\=4x^5-3x^2-9\)
Since the resulting term is a trinomial (3 terms), hence the correct operator that enters a circle is a subtraction sign.
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-2=12/x
pleasee answer
Answer:
Step-by-step explanation:
if the length of a rectangle is 3 times of its breadth and perimeter is 96 cm find the length and breadth of the rectangle
I need a speedy answer
The final answer to the Question is D and is application of Mixed Fractions
What are mixed fractions?
It is just another form of writing simple fractions in complicated form
we only have to perform few steps to convert from mixed to simple
Here they have used Mixed fractions to confuse the students but question is very easy
we can clearly see that 2 cups of flour is being used for 1 and 1/2 cups of milk
means 2 cup flour for 3/2 cups of milk and
we can also write like this that 3/2 cups of milk require 2 cups of flour
1 cup of milk will require 2/(3/2) cups of flour
= 4/3 cups of flour which can also be written as 1 and 1/3 cups of milk
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BRAINY
Find the sum by first finding the equivalent fractions so both of the fractions have common denominators.
one third plus two sixths equals blank
four sixths
four thirds
three sixths
three ninths
Answer:
correct answer is four sixths
Step-by-step explanation:
you can simplify 2/6 to 1/3 and then it would just be 1/3 plus 1/3. This is 2/3 or 4/6! Hope this helps :)
Given a linear time series trend, Y' = 5.2 + 3.1t, what is the forecast for 2002 if the time series started in 1995?
Answer:
26.9
Step-by-step explanation:
t=7
The forecast for 2002 if the time series started in 1995 is 26.9 for 2002.
What is linear time series trend ?The linear trend model strives to identify the slope and intercept that give the best average fit to all prior data, and its divergence from the data is often most at the very end of the time series.
It is given that there is a linear time series trend,
In 1995
Y' = 5.2 + 3.1t
In 2002 , After 7 years
Y' = 5.2 +3.1 *7
Y' = 26.9
The forecast is 26.9 for 2002.
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what is a counterexample for the following conjecture if a counterexample does not exist choose not possible conjecture all quadrilaterals are rectangles
Answer:
Step-by-step explanation:
A ratio of two angles is 5 to 3 and their sum is 180 degrees. Find the measure of each angle. The find their complements. Make a sketch, set up the corresponding equation and solve it.
Answer:
112.5
67.5
Step-by-step explanation:
We know the ratio is:
5:3
So, we can write it as:
5x+3x=180, with 5x being one angle, and 3x being the other
combine like terms
8x=180
divide both sides by 8
x=22.5
5(22.5)=112.5
3(22.5)=67.5
So, one angle is 112.5 and the other is 67.5.
Hope this helps!
Listed below is a table showing the number of employees. 20 years or older by gender in the United states
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
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The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
Graph the following features:
• Y-intercept = 3
Slope = -3
Answer:
A general linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept (the point at which the line intersects the y-axis).
In this case, we know that the line should intersect the y-axis (the vertical one) at y = 3 (in the point (0, 3))
And the slope is -3, then the equation of the line is:
y = -3*x + 3
To graph this line the general way is to find two points of the line.
So we need to evaluate the function in two different values of x.
In this case, we already know that the line passes through the point (0,3), then we only need to find another point.
To do it, we can just replace the x-value for a value we want, like x = 1
Then the y-value will be:
y = -3*(1) + 3 = -3 + 3 = 0
Then we also have the point (1, 0).
Now that we have two points, we can graph them and draw a line that connects the point, that line is the graph of our linear equation.
An example of this can be seen below.
F(x)=2x^2+3
find that derivative
Answer:
\(\displaystyle F'(x) = 4x\)
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)
Derivative Property [Addition/Subtraction]: \(\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]\)
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
\(\displaystyle F(x) = 2x^2 + 3\)
Step 2: Differentiate
Derivative Property [Addition/Subtraction]: \(\displaystyle F'(x) = \frac{d}{dx}[2x^2] + \frac{d}{dx}[3]\)Rewrite [Derivative Property - Multiplied Constant]: \(\displaystyle F'(x) = 2 \frac{d}{dx}[x^2] + \frac{d}{dx}[3]\)Basic Power Rule: \(\displaystyle F'(x) = 4x\)Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
how would you factorise 3y + 12
Answer:
lol it so easy man 3(y+4) is the answer
Apple crumble is made using the following ingredients.
a) Farid makes apple crumble for 16 people.
How much flour does he need?
b) Amal makes apple crumble for 2 people.
How much sugar does she need?
g
g
Serves 8 people
700g apple
240g sugar
180g flour
40 g
butter
c) Shahina has 550 g of apples and plenty of the other ingredients.
Can she make apple crumble for 6 people? Yes/No
Explain how you got your answer.
Show your working
|+
Answer: a) To make apple crumble for 16 people, Farid will need to double the ingredients as compared to serving 8 people. Hence, he will need:
700g * 2 = 1400g of apples
240g * 2 = 480g of sugar
180g * 2 = 360g of flour
So, Farid needs 360g of flour to make apple crumble for 16 people.
b) To make apple crumble for 2 people, Amal will need to use 1/8 of the ingredients as compared to serving 8 people. Hence, she will need:
700g / 8 = 87.5g of apples
240g / 8 = 30g of sugar
So, Amal needs 30g of sugar to make apple crumble for 2 people.
c) To make apple crumble for 6 people, Shahina will need to adjust the ingredients based on the apples she has available. To calculate the amount of sugar and flour required, she can use the ratio of sugar and flour to apples as follows:
Sugar: 700g / 8 = 87.5g per serving * 6 people = 525g
Flour: 700g / 8 = 87.5g per serving * 6 people = 525g
Since Shahina has plenty of the other ingredients, including butter, she can make apple crumble for 6 people with the amount of apples she has available. So, the answer is Yes, Shahina can make apple crumble for 6 people.
Step-by-step explanation:
4(2y+3)-2*2. Y=3
Pls help
Answer:
4(2×3+3)-2×2
4(9)-4
36-4
32
Answer:
Hi! The correct answer is 32!
Step-by-step explanation:
Simplify the expression.
Evaluate 3|12−x|−4 when x=15
Answer:
5
Step-by-step explanation:
3 x |12 - x| - 4
3 x |12 - 15| - 4
3 x 3 - 4
9 - 4
5
The hanger image below represents a balanced equation.
Select an equation that represents the image.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
5m=505m=505, m, equals, 50
(Choice B)
B
\dfrac{m}{5}=50
5
m
=50start fraction, m, divided by, 5, end fraction, equals, 50
Find the value of mmm that makes the equation true.
m=m=m, equals
Answer:
The answer is A
Step-by-step explanation:
5m=505m=505,m equal, 50
Solve for x. Geometry
Answer:
17
Step-by-step explanation:
Side a = 17
Side b = 8
Side c = 15
Angle ∠A = 90° = 1.5708 rad = π/2
Angle ∠B = 28.072° = 28°4'21" = 0.48996 rad
Angle ∠C = 61.928° = 61°55'39" = 1.08084 rad
C=61.928°B=28.072°A=90°b=8a=17c=15
Area = 60
Perimeter p = 40
Semiperimeter s = 20
Height ha = 7.05882
Height hb = 15
Height hc = 8
Median ma = 8.5
Median mb = 15.52417
Median mc = 10.96586
Inradius r = 3
Circumradius R = 8.5
Vertex coordinates: A[0, 0] B[15, 0] C[0, 8]
Centroid: [5, 2.66667]
Inscribed Circle Center: [3, 3]
Circumscribed Circle Center: [7.5, 4]
Working alone, Jack can do a puzzle in 5 hours. With his brother's help, the two can do the same puzzle in 2 hours. How long would it take Jack's brother to do the puzzle alone?
Answer:
3 hours and 20 minutes
(sorry i didnt show my work)
In triangle ABC, AB = 6, BC = 8, and angle ABC = 90 degrees. Find the area of triangle ABC.
Answer:
24
Step-by-step explanation:
The formula for area of any triangle is (length * width) * 1/2. This makes the angle of 90 degrees irrelevant.
6 x 8 = 48
48 / 2 = 24
The quotient of 25 and 5 increased by3
Answer:
8, the answer is 8
Answer:the anwer is 8
Step-by-step explanation:
its 8
Sharon worked hard for a long time to save the money for a new car. She has budgeted between $15,000 and
$20,000 for the new car plus the cost of gas for a year. Let x represent gas mileage. Which compound inequality
represents the gas mileage that a $12,000 car can get and still fit in her budget if gas costs $4 per gallon and she
drives 15,000 miles a year?
45.000 40.000 of 15.000)
Answer:
the compound inequality representing the gas mileage that a $12,000 car can get and still fit in Sharon's budget if gas costs $4 per gallon and she drives 15,000 miles a year is:
7.5 ≤ x ≤ 20
Which inequality represents the situation described below?
The distance, d, is less than 200 miles.
A. d ≥ 200
B. d > 200
C. d ≤ 200
D. d < 200
Hello!
The distance, d, is less than 200 miles.
B. d > 200
Alice wants to use the stack method to pay down her debts listed in the table below. If she applies an extra $150 a month to her debts, what will be the first debt she targets to pay off and what will be the monthly amount she applies to it?
Debts Interest Rate Minimum Monthly Payment
Debt 1 5.5% $75
Debt 2 2.75% $250
Debt 3 13.25% $150
Alice wants to use the stack method to pay down her debts listed in the table below. If she applies an extra $150 a month to her debts, what will be the first debt she targets to pay off and what will be the monthly amount she applies to it?
Debts Interest Rate Minimum Monthly Payment
Debt 1 5.5% $75
Debt 2 2.75% $250
Debt 3 13.25% $150
The first debt that Alice would have to pay based on the Stack method would be the third debt. Option C
How to calculate the debt using the stack methodFrom the stack method, the debt that Alice would have to pay off first would be the debt that has the highest interest rate.
The amount of 150 dollars would then be added to the debt that has the second highest rate.
Hence the amount of debt that would be paid off first would be the first debt based on the stack method.
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