Answers
Answer:
The equation of the line is:
[tex]y = 4x + 3[/tex]
Step-by-step explanation:
We know that the slope-intercept of line equation is
[tex]y = mx+b[/tex]
Where m is the slope and b is the y-intercept
Given the two points on a line
(0, 3)(-2, -5)Finding the slope between (0, 3) and (-2, -5)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-5\right)[/tex]
[tex]m=\frac{-5-3}{-2-0}[/tex]
[tex]m=4[/tex]
We know that the y-intercept can be computed by setting x=0 and determining the corresponding y-value.
From the graph, it is clear:
at x = 0, y = 3
Thus, y-intercept = b = 3
Substituting m = 4 and b = 3 in the slope-intercept form of line equation
[tex]y = mx+b[/tex]
[tex]y = 4x + 3[/tex]
Therefore, the equation of the line is:
[tex]y = 4x + 3[/tex]
Related Questions
11)
Paul pays the delivery man £180 for working 24 hours.
How much will he pay him for working 40 hours?
£
Answers
Answer:
£196
Step-by-step explanation:
1) 180/24=7.5
2) 40-24=16
3) 180+16=196
so he has to pay £196
. Jordan is inviting 8 friends to his party. He wants to give each friend 2 maracas and have 2 for himself. Maracas come in boxes of 6. How many boxes does he need to buy? +
Answers
Answer:
3 boxes of maracas
Step-by-step explanation:
9 x 2 = 18
18 ÷ 6 = 3 boxes of maracas
Answer:
He needs to get three boxes.
Step-by-step explanation:
We know that he wants two, we know that he has eight friends coming. He wants two maracas per friend. To find the total number of maracas you must multiply the amount of friends by the amount of maracas.
8 * 2= 16
You add the two maracas for himself to find the total maracas needed.
16+2= 18
Next you divide the amount of maracas needed by six because the are six maracas per box.
18÷6=3
The total number of boxes needed is three
If y varies directly as x and x=2 when y=−4, find y when x=−6.
Equation: ____________
Solution: y = ___________
Answers
Answer:
Equation: x × -2 = y
Solution: y = 12
Step-by-step explanation:
if (x = 2) is (y = -4) then (x = 1) is (y = -2) so if (x = -6) is (y = 12) if we follow the equation [x × -2 = y] which was found using the first set of variables and dividing each by 2.
E
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5
Cherie accepted a job through an employment agency. The job pays $1,100 weekly. The
agency charges 22% of her first three months, pay. How much money will the
employment agency receive for placing Cherie in her new job? (Round to the nearest
dollar.)
Answers
Answer: $2,904
1,100x4 than multiply by .22 then with that you multiply by 3.
$726 money will the employment agency receive for placing Cherie in her new job.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
Cherie accepted a job through an employment agency
The job pays $1,100 weekly.
The agency charges 22% of her first three months, pay.
22% of 1100 we have to calculate.
First we have to convert 22% to decimal
22/100=0.22
0.22×1100=242
Now for three months we need to calculate.
3×242
$726
Hence, $726 money will the employment agency receive for placing Cherie in her new job.
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A grocery store sells steak for $6.10 per pound. What would be the cost of 2 lb of steak?
Answers
Answer: 12.20
Step-by-step explanation:
because if 6.10 is the amount for one pound, then if u need 2 pounds, then multiply 6.10 with 2.
20 POINTS!!!!please help due in 20 mins
Answers
Answer:
rate of change is -1/3 (table) and 4 (graph)
Function 2 has the greater rate of change because the graph is steeper, and |4| is bigger than |-1/3|
Step-by-step explanation:
Answer:
(a) Function 1 : -2 Function 2 : 3.
(b) Function 2
Step-by-step explanation:
For function #1, you can calculate the rate of change (another word for slope) by counting the change between each y value. So, when x is 2, y is -3. When x is 3, y is -5. The rate of change is -2!
Show your work by marking an arrow for each y and writing -2.
Function #2, you need to find the slope (rate of change) by drawing a rise/run line when the equation line hits a point on the graph. One point is (-1,1) another point is (0,4). The slope/rate of change is 3.
What is the area in square feet 6.3ft, 8ft
Answers
Answer:
go to my account and answer the latest question and say lol u dont
have to answer it tho just put lol for 25 free points.
Step-by-step explanation:
Answer:
50.4
Step-by-step explanation:
Deanna Jones opened a video rental store this year with 400 tapes. She plans to buy 150 new tapes each year from now on. Deanna expects to have 1300 tapes available during her fifth year in business. At her current purchasing rate, will she reach her goal? Explain.
A. No, she will have only 1150 tapes.
B. Yes, she will have exactly 1300 tapes.
C. Yes, she will have over 1300 tapes.
HURRY NEED SOON PLEASE
Answers
WHOS GOOD AT GEO PLEASE HELP ME!!!!!
The Venn diagram represents the Quantum Physics High School student body. Circle A represents all students enrolled in extracurricular activities. Circle B represents all female students. There are 117 female students enrolled in extracurricular activities, and the enrollment of the high school is 1,000 students. There are 450 male students. How many female students are not enrolled in extracurricular activities?
A.
117
B.
433
C.
550
D.
883
Answers
Answer:
D
Step-by-step explanation:
From the total 1000 students, 450 are male, so 1000 - 450 = 550 students are female.
117 students are both [enrolled in extracurriculars] and [female].
The total number of [female] students is equal to the total number of [female AND enrolled] students plus the total number of [female AND not enrolled] students. The events of being enrolled in extracurriculars and not being enrolled are mutually exclusive. So if x is the number of female students not enrolled in extracurriculars, then
550 = x + 117
x = 550 - 117
x = 433
and the answer is B.
A pet store sells dog treats and the prices are represented
in the graph
X = number of treats
y = cost (in dollars)
Select the true statement.
Select one
Each treat costs $0.50
Each treat costs $3
Each treat costs $2
Each treat costs 51
Answers
Answer: 1$
Step-by-step explanation:
please help me asap
Answers
Answer:
answer is c
Step-by-step explanation:
Solving Quadratic Equations Maze 1
x²- 8x - 33 = 0
Answers
The solutions to the given quadratic equation are x=11 and x=-3.
The given quadratic equation is x²-8x-33=0.
The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
By using splitting middle term method, we get
x²-11x+3x-33=0
x(x-11)+3(x-11)=0
(x-11)(x+3)=0
(x-11)=0 and (x+3)=0
x=11 and x=-3
Therefore, the solutions to the given quadratic equation are x=11 and x=-3.
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HELP!! It’s question 8
Answers
Answer:
the answer is 1.25 or 5/4
Answer:
Actual kitchen area equals 108 feet
Step-by-step explanation:
room turns into 12 ft. by 9 ft.
to find area: 12 x 9
Actual kitchen area equals 108 feet
Given u = ⟨1, 3⟩, v = ⟨2, 1⟩, and cos(ϴ) = sqrt2/2, where ϴ is the angle between the vectors, what is the scalar projection uv and the dot product u · v?
uv = 1.41 and u*v = 4.47
uv = 2.24 and u · v = 5.00
uv = 2.24 and u · v = 7.07
uv = 7.07 and u · v = 15.81
Answers
Answer:
Step-by-step explanation:
l
Option C corresponds to the vectors scalar projection and dot product, which are uv = 2.24 and u v = 7.07.
To find the scalar projection (uv) and the dot product (u · v) of vectors u and v, use the following formulas:
Scalar Projection (uv) of u onto v:
uv = |u| × cos(ϴ)
Dot Product (u · v) of u and v:
u · v = |u| × |v| × cos(ϴ)
u = ⟨1, 3⟩ and v = ⟨2, 1⟩, and cos(ϴ) = √(2)/2,
calculate the magnitudes of u and v first:
|u| = √(1² + 3²) = √10
|v| = √(2² + 1²) = √5
Now, calculate the scalar projection (uv) and the dot product (u · v):
Scalar Projection (uv) of u onto v:
uv
= |u| × cos(ϴ)
= √10 × √(2)/2
= √(10/2)
= √5 ≈ 2.24
Dot Product (u · v) of u and v:
u · v
= |u| × |v| × cos(ϴ)
= √10 × √5 × √(2)/2
= √(1052)/2
= √100/2
= √50
≈ 7.07
Therefore, the scalar projection and dot product of the vectors is equal to option c. uv = 2.24 and u · v = 7.07.
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Use this scenario to answer questions 3-4: Peter was a waiter that was paid at a rate of $8 per hour plus tips. He earned a total of $200 including $54 in tips.
Given the scenario above, write an equation to represent the scenario. Let h = the number of hours
Free brainliest included! :)
Answers
Veronica is choosing between two health clubs. After how many months will the total cost for each health club be the same? Yoga studio A (Membership: $22.50 and monthly: $24.50) Yoga studio B (Membership: $47.00 and monthly: $18.25)
PLEASE ANSWER ASAP FOR 35 POINTS :)
Answers
Answer:
4 months
Step-by-step explanation:
Answer:
4 months
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLEIST
Answers
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Order the set of integers from least to greatest 5, -3, -12, 9
Answers
Answer:
-12, -3, 5, 9
Step-by-step explanation:
ok. So the numbers are 5, -3, -12, and 9.
In these numbers, there are 2 negatives. They are -12 and -3.
In negatives, the bigger the number is, the number is smaller.
So we first put
-12, -3 as our 2 first. Then the other ones are 5 and 9.
and you obviously know that 5 is less than 9. try it out. 9-5 =4 which is positive
So then you put 5, 9
And our full answer is
-12, -3, 5, 9
What is the 15th term of the sequence an =
-3n+50
D. 95
Answers
Answer:
= 105
Step-by-step explanation:
Answer:
here ya go
Step-by-step explanation:
a
9
=
105 I think
What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)
Answers
A middle school took all of its 6th grade students on a field trip to see a ballet. The students filled 4753 seats, which was 97% of the total number of seats in the theater. How many total seats were in the theater?
Answers
Answer:
4900
Step-by-step explanation:
answer helppppp plsss i’m on quizzzz
Answers
PLZZ SOMEONE GIVE ME THE EQUATION!! You have $20 to buy snacks for yourself and 4 friends. If you buy a bag of chips for each person, and still have $13.75 left, how much did you spend on each bag of chips?
Answers
Answer:
1.56
Step-by-step explanation:
Answer:
1.25
Step-by-step explanation:
20-13.75 = 6.25
6.25 / 5 = 1.25
Evaluate x−y when x=23 and y=−13
Answers
Answer:
36
Step-by-step explanation:
The equation would turn out as 23--13
But when there are two negatives, it turns into a positive, creating the equation of 23+13
Then you add to equal 36.
What subfield of mathematics requires the most spatial reasoning?
No answer needed, just need to get rid of all my points.
Answers
Answer:
brainlest?
Step-by-step explanation:
......
Answer: I looked it up and got a couple of answers of spatial reasoning. Don’t know if that helps but yeah thats what I got lol
Step-by-step explanation:
Evaluate 2(5 + x^2)+ y if x = 3 and y = 2
Answers
Answer:
30
Step-by-step explanation:
Start by substituting
2(5+3²) +2 = ___
Parenthesis
3²= 3 · 3 = 9
add that to 5 = 14
2(14) +2 = ___
2 times 14 = 28.
28 + 2 = 30
Answer:
30.
Step-by-step explanation:
2(5+ x^2)+ y
x=3, y=2
Using the given information for x and y and distributing that into the equation, the equation becomes:
2(5+ 3^2)+ 2
Now, use order of operations or PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction) to solve the problem.
The answer you should get is 30. :,)
pleaseee help
A job placement agency helps match job seekers with potential employers. The agency would like to design a simulation in order to help predict the likely job placement outcomes for job seekers based on historical trends and patterns. Which of the following is most likely to be a benefit of the simulation?
A. The computer simulation will be able to include more details and complexity than the real-world job placement process.
B. The computer simulation could be used to test hypotheses about patterns in the job placement process that are costly or time consuming to observe in reality.
C. The computer simulation will be able to precisely predict the real-world outcomes for each job seeker.
D. The computer simulation will remove the bias that may arise in the real-world job placement process.
Answers
Answer:
B.
Step-by-step explanation:
All computer simulations are designed to test a large number of different scenarios with various sets of data in order to understand each output that certain data generates and ultimately find the best solution. This is the overall main reason why simulations are created. The same applies in this scenario, this simulation will be used to test hypotheses about patterns in the job placement process that are costly or time-consuming to observe in reality. If such tests had to be conducted by actual people it would take months, years, or even decades to generate and analyze all the data.
Answer:
Its D
Step-by-step explanation:
You gotta believe me
What is 4(2 + a) = 24
a=
Answers
Answer:
2/5
Step-by-step explanation:
Rearrange terms:
4(2 + a) = 24a
4(a + 2) = 24a
Distrbute:
4(a + 2) = 24a
4a + 8 = 24a
Subtract 8 from both sides of the equation:
4a + 8 = 24a
4a + 8-8 = 24a-8
Simplify:
4a = 24a - 8
Subtract 24a from both sides of the equation:
4a = 24a - 8
4a - 24a = 24a - 8 - 24a
Combine like terms:
-20a = -8
Divide both sides of the equation by the same term:
-20a = -8
-20a/-20 = -8/-20
Simplify:
Cancel terms that are in both the numerator and denominator
Divide the numbers
a = 2/5
I hope that helps! :D
By 27leejaey42 kids bought popcorn at the movie. This was 60% of the kids who attended the movie.
How would you summarize the process to find the number of kids who attended the
movie?
Answers
Answer:
Total number of children = 70
Step-by-step explanation:
Given:
Number of kids buy popcorn = 42
Percent of kids buy popcorn = 60% = 0.6
Find:
Total number of children
Computation:
Total number of children = Number of kids buy popcorn / Percent of kids buy popcorn
Total number of children = 42 / 0.6
Total number of children = 70
The line segment joining A(6, 3) to B(–1, –4) is doubled in length by having half its length added to each end. Find the coordinates of the new ends.
Answers
Answer:
(9.5, 6.5) and (-4.5, -7.5)Step-by-step explanation:
Let the extended points be A' and B' and add the point M as midpoint of AB
Coordinates of M are:
((6 - 1)/2, (3-4)/2) = (2.5, -0.5)Now point A is midpoint of A'M and point B is midpoint of MB'
Finding the coordinates using midpoint formula:
A' = ((2*6 - 2.5),(2*3 - (-0.5)) = (9.5, 6.5)B' = ((2*(-1) - 2.5), (2*(-4) - (-0.5)) = (-4.5, -7.5)