(3,4) and (0, 5)
write a linear equation
Answers
Answer:
y=-1/3x+5
Step-by-step explanation:
Slope-intercept form
y=mx+b
m => slope
b => y-intercept
Slope
m=(y2-y1)/(x2-x1)=(5-4)/(0-3)=1/(-3)=-1/3
Y-intercept
y=-1/3x+b
5=-1/3(0)+b
5=b
Final equation
y=-1/3x+5
y=-1/3x+5 is the linear equation of two points (3,4) and (0, 5)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two points are (3,4) and (0, 5)
Now substitute these values in slope formula to find slope
m=5-4/0-3
m=1/-3=-1/3
Now let us find the y intercept by considering a point (3,4)
4=-1/3(3)+c
4=-1+c
4+1=c
5=c
So linear equation will be y=-1/3x+5
Hence, y=-1/3x+5 is the linear equation of two points (3,4) and (0, 5)
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Related Questions
Algebra! Question 18!!!!
Answers
The slope of the line that passes through the point (2, 4) and (3, 8) is
Answers
\(m=\frac{y_{2-y_{1} } }{x_{2} -x_{1} } \\m=\frac{8-4}{3-2} \\m=\frac{4}{1} \\m=4\)
I also provided the formula on how to calculate the slope between the points
What is the correct answer for this?
Answers
Answer:
55.5 cubic yards
Step-by-step explanation:
Here,
Length ( l ) = 5 yd
Base ( b ) = 3.7 yd
Height ( h ) = 3 yd
To find : Volume
This shape is a cuboild.
Formula : -
Volume of cuboild = lbh
Volume of cuboild
= 3 x 5 x 3.7
= 55.5 cubic yards
\( \huge\fbox\orange{ANSWER} \)
\( \mathsf \purple{v = l \times w \times h}\)
\( \mathsf \pink{v = 5 \times 3.7 \times 3}\)
\( \mathsf \purple{v = 55.5 {yd}^{3} }\)
55.5 cubic yards
need a lot of help with this
What is 473.69 rounded to the nearest whole number?
Answers
Answer:
474
Step-by-step explanation:
A whole number is a number without decimals.
We know that if a number is equal to or larger than 5, we round up; in this case.
473.69
6 is larger than 5, so we will round up
473.69 rounded to the nearest whole number is 474
A serving of ice cream contains 6400 calories. 1600 calories come from fat.
What percent of the total calories come from fat?
Answers
Answer:
25%
Step-by-step explanation:
6400/1600=4
1/4= 25%
Describe the error made when converting the equation to vertex form.
Answers
Answer:
adding 36
Step-by-step explanation:
should be:
y-27=x²-12x
y-27=x²-12x
+12 +12
y-15=x²+x
y-15=x³
+15 +15
y=15x³
Evaluate f(1/2) if f(x)=-3x^3 + 2x^2. Enter fractions using “/“
f(1/2)=
Answers
decimal form: 0.125
In the figure, m/3= (3x+15)° and mZ8= (x+100)°. Find the value of x. Then calculate the measure of Z4.
Answers
Value of x = 42.5 ° and measure of angle 4 = 37.5 ° .
measure of angle 3 = measure of angle 8
( 3 x + 15 ) ° = ( x + 100 ) °
2 x = 85
x = 42.5 °
measure of angle 3 + measure of angle 4 = 180 °
measure of angle 3 = ( 3 x + 15 ) °
= ( 3 * 42.5 ) + 15
= 142.5 °
Hence , measure of angle 4 = 180 - 142.5 ° = 37.5 ° .
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Solve the following equation for x. Express your answer in the simplest form.
Answers
Hope this helps you
The left and right ends of the normal probability distribution extend indefinitely, never quite touching the horizontal axis. True False
Answers
It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.
The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.
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extrano a mi sobrina, what does the underlined word mean
Answers
Answer:
I miss my niece
Step-by-step explanation:
it's the meaning of that hope U get it ...
the question is in the picture
Answers
explanation:
128° will be carried to angles 2,4, and 7 because they’re all equal. then, since a straight line is equal to 180°, you’re gonna subtract 128° from 180°, resulting in 52° :)
Timothy walks from home to a mailbox. After walking 15 min, he puts a letter in the mailbox. Then he walks home at the same speed. The graph shows his distance from the mailbox as a function of time. Select all the statements that are true of the function.
A. The x-intercept is (0, 3,750).
B. The x-intercept is (15, 0).
C. The y-intercept is (0, 3,750).
D. The y-intercept is (15, 0).
E. The y-intercepts are (0, 3,750) and (30, 3,750).
Answers
The correct statements regarding the function are given as follows:
B. The x-intercept is (15, 0).
C. The y-intercept is (0, 3,750).
What are the intercepts of a function?The intercepts of a function are two, the x-intercept and the y-intercept, defined as follows:
The set of x-intercepts is composed by the values of x for which the function crosses or touches the x-axis, that is, the values of x for which y = 0.The y-intercept is the value of y for which x = 0, that is, the value of y when the function touches or crosses the y-axis.A function can have only one y-intercept as a function must have only one output relative to the input x = 0, however it can have an infinity amount of x-intercepts.
From the definitions in these bullet points, the intercepts for this function are given as follows:
x-intercept: (15,0).y-intercept: (0, 3750).This means that statements B and C are correct.
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if all these statistics were analyzed at the end of the season, the correlation between number of wins and each of the four baseball statistics would be an example of
Answers
The correlation between the number of wins and each of the four baseball statistics would be an example of bivariate correlation analysis, which measures the strength and direction of the relationship between two variables.
The correlation between number of wins and each of the four baseball statistics would be an example of a bivariate correlation, which measures the strength and direction of the linear relationship between two variables. In this case, the two variables would be the number of wins and each of the four baseball statistics. The correlation coefficient would provide a numerical value that represents the degree of association between the two variables
A positive correlation coefficient would indicate that as one variable increases, so does the other, while a negative correlation coefficient would indicate that as one variable increases, the other decreases.
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If all these statistics were analyzed at the end of the season, the correlation between the number of wins and each of
the four baseball statistics would be an example of bivariate analysis.
Bivariate analysis involves analyzing the relationship between two variables to determine if there is any correlation or
association between them.
In this case, the two variables are the number of wins and each of the four baseball statistics.
By conducting a bivariate analysis, you can identify if there is any significant relationship between these variables and
potentially draw conclusions about their impact on team performance.
If all these statistics were analyzed at the end of the season, the correlation between the number of wins and each of
the four baseball statistics would be an example of bivariate analysis.
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Jasmine needs to make a bouquet of 24 yellow and orange carnations. The ratio of yellow carnations to all of the carnations must be 1 to 3. She determines that she will need 8 orange carnations for the bouquet. Which statement correctly describes her error?
She did not include enough orange carnations. She thought the ratio of orange carnations to all carnations was 1 to 3.
She included too many orange carnations. If 1 of the 3 flowers is yellow, then 2 must be orange.
She did not include enough orange carnations. If 1 of the 24 flowers is yellow, then 23 must be orange.
She included too many orange carnations. She thought the ratio of orange carnations to yellow carnations was 1 to 3.
Answers
Answer: She did not include enough orange carnations. She thought the ratio of orange carnations to all carnations was 1 to 3.
Step-by-step explanation: Jasmine needs more orange carnations, because the ratio of yellow carnations to the total is 1:3.
So, she needs more carnations. She did not include enough orange carnations. She thought the ratio of orange carnations to all carnations was 1 to 3.
Answer:
A. She did not include enough orange carnations. She thought the ratio of orange carnations to all carnations was 1 to 3.
Step-by-step explanation:
Correct on edge2021
Please mark brainliest.
Please press the heart and rate 5 stars if this helped you ;)
can you please try doing question 9 and 10? (explain also in a short or long way) thank you
Answers
Thus, the correct statement is B: The speed of Becca's car is more.
Explain about the rate of change:An indicator of how 1 quantity changes in proportion to another is called a rate of change. Positive or negative change rates are possible. This is equivalent to a change in the y-value in between two data points. Zero rate of change refers to a quantity that does not fluctuate over time.
Relation between speed and time:
speed = distance/ time
Tom's car:
distance d = 120 miles
Time t = 3 hours
speed of Tom's car = 120/3 = 40 miles/hours
Becca's car:
distance d = 90 miles
Time t = 2 hours
speed of Becca's car = 90/2 = 45 miles/hours
Thus, the correct statement is B: The speed of Becca's car is more.
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Correct questions:
The correct question is given by question 9.
Simplfy: -1| 2/3 - 4| / 5/6
Answers
Step-by-step explanation:
-1| 2/3 - 4| / 5/6
=-1 paxi ko sign k hola
Write the equation 3x+2y=8 in general form. SHOW YOUR WORK PLEASE
Answers
Answer:
3x+2y-8=0
Step-by-step explanation:
The equation 3x+2y=8 in general form is 3x + 2y - 8 = 0 respectively.
What is a numerical expression?A numerical expression is an algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
We are given that the equation 3x+2y=8.
The equation of straight line is written as y = mx + c
3x+2y=8.
2y = 8 - 3x
y = 8/2 - 3/2x
y = 4 - 3x/2
Hence, the general form is 3x + 2y - 8 = 0.
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-An antique diamond engagement ring was purchased many years ago for $500. If the
ring has grown in value 8.7% annually and has a current value of $28,262, how old is the
ring?
Answers
A = P*(1+r)^t
Where:
A is the current value of the ring
P is the initial value of the ring
r is the annual interest rate as a decimal
t is the number of years the ring has been growing in value
We know that:
P = $500
r = 8.7% = 0.087
A = $28,262
Substituting these values into the formula, we get:
$28,262 = $500*(1+0.087)^t
Dividing both sides by $500, we get:
56.524 = (1.087)^t
Taking the natural logarithm of both sides, we get:
ln(56.524) = ln(1.087)^t
Using the property of logarithms that ln(a^b) = b*ln(a), we get:
ln(56.524) = t*ln(1.087)
Solving for t, we get:
t = ln(56.524) / ln(1.087) = 27.2 years
Therefore, the ring is approximately 27.2 years old
CAN SOMEONE HELP ME PLEASE ASAP!
Answers
Answer: ≈ 26 lb
Step-by-step explanation:
11,800 grams x \(\frac{1 kilograms}{1000 grams}\) x \(\frac{1 pound}{0.45kilograms}\) ≈ 26 lb
what is the range of this data set?
Answers
Answer:
Range = 3.3
Step-by-step explanation:
Range = Max value - Min value
Max value = 100.1
Min Value = 96.8
Range = 100.1 - 96.8
Range = 3.3
help asap djfaljfejdl93;;
Answers
Answer:
b: f(x) = 5x+7
Step-by-step explanation:
I just went down the line and entered in the numbers to see if they worked out.
12 = (5 x 1) + 7
12= 5 + 7
12 = 12
17 = (5 x 2) + 7
17 = 10 + 7
17 = 17
22 = (5 x 3) + 7
22 = 15 + 7
22 = 22
27 = (5 x 4) + 7
27 = 20 + 7
27 = 27
Find an equation of the line through (5, 3) and parallel to the
line whose equation
is y = 1/3x
Answers
The equation of line passing through (5, 3) and parallel to the line whose equation is y = 1/3x is y = 1/3x + 4/3.
To find the equation of a line passing through a point and parallel to another line, we use the following steps:
Now, let's use these steps to solve the problem:
Step 1: Find the slope of the given line.The given line has a slope of 1/3, since its equation is
y = 1/3x.
Step 2: Use the slope and the given point to find the y-intercept of the line we are looking for.Since the line we are looking for is parallel to the given line, it has the same slope of 1/3.
Therefore, its equation is of the form y = 1/3x + b, where b is the y-intercept we are looking for.
We know that the line passes through the point (5, 3), so we can substitute these values into the equation and solve for b.
3 = (1/3)(5) + b
b = 3 - 5/3
b = 4/3
Step 3: Use the slope and y-intercept to form the equation of the line we are looking for.
Now that we have the slope of 1/3 and the y-intercept of 4/3, we can form the equation of the line we are looking for:
y = 1/3x + 4/3
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I NEED HELP ASAP IT'S DUE IN 40 MINUTES!!! I'LL GIVE BRAINLIEST!!!
Answers
Answer:
Transversal
Step-by-step explanation:
9x - 4 = 5x - 4 + 4x
Answers
Answer:
x = 1
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
f(x) = -x + 5; g(x) = 2f(x)
Answers
Answer:
∴ g(x) = -2x + 10
Step-by-step explanation:
Since f(x) = -x + 5,
g(x) = 2[f(x)]
= 2(-x + 5)
= -2x + 10
Kevin makes a list of the tasks he has to do after school and how long it will take him to do each task.
Task
Time (hours)
Read
3
Do homework
3
4
Play soccer
6
Practice piano
Part A
How long will it take Kevin to complete all of his tasks? Show your work
Answers
Step-by-step explanation:
HELP MEEEEE PLEASEEEE
Answers
please answer this !!!!!!! 100 points
Answers
Answer:
It tells you that a low and a high pressure zone are going to be going thru that area
Step-by-step explanation:
Answer:
cap
Step-by-step explanation:
which pair of these points defines a line with a slope 2/3? A. (2, 6) and (3, 0) B. (6, 2) and 3, 0) C. (6, 2) and (0, 0) D. (2, 6) and (0, 0)
Answers
Answer:
B. (6,2) and (3,0)
Step-by-step explanation:
To find the slope the equation is \(\frac{y_{2-y_{1} } }{x_{2} -x_{1} }\) so for (6,2) and (3,0) the equation would look like this \(\frac{0-2}{3-6}\) which simplies down to \(\frac{-2}{-3}\) and a negative divided by a negative is a positive so you're slope is \(\frac{2}{3}\) and it matches the question.
Answer:
b
Step-by-step explanation: