Use the coordinates of the labeled point to find the point slope equation of the line.
Answers
Answer:
B
Step-by-step explanation:
Here, we want to find the point-slope equation of the line
We start by getting the y-intercept of the line which is y = 3
The general equation of a straight line is;
y = mx + b
where b is the y-intercept
So, we have;
y = mx + 3
Now, to get m , we insert the point given on the like which is (2,-5)
x = 2 and y = -5
-5 = 2m + 3
-8 = 2m
m = -8/2
m = -4
So the equation of the line is;
y = -4x + 3
This is same as option B
Related Questions
Ella invested $2,700 in an account paying an interest rate of 5.4% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $4,020?
Answers
Answer:
The account will take 7 years to reach a value of $4,020
Step-by-step explanation:
Compound Interest
When it occurs interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Ella invested P=$2,700 in an account with an interest rate of r=5.4% (0.054) compounded monthly. Since there are 12 months in a year, n=12.
It will be calculated when will the account have a value of A=$4,020. Substituting all the values in the formula:
[tex]{\displaystyle 4,020=2,700\left(1+{\frac {0.054}{12}}\right)^{12t}}[/tex]
Calculating:
[tex]{\displaystyle 4,020=2,700\left(1.0045)^{12t}}[/tex]
Dividing by 2,700:
[tex]{\displaystyle \frac{4,020}{2,700}=\left(1.0045)^{12t}}[/tex]
To solve this equation for t, we need to apply logarithms:
[tex]{\displaystyle \log\frac{4,020}{2,700}=\log\left(1.0045)^{12t}}[/tex]
Applying the logarithm power rule:
[tex]\displaystyle \log\frac{4,020}{2,700}=12t\log 1.0045[/tex]
Dividing by 12log 1.0045:
[tex]\displaystyle t=\frac{\log\frac{4,020}{2,700}}{12\log 1.0045}[/tex]
Calculating:
t= 7.39 years
Rounding to the nearest year, the account will take 7 years to reach a value of $4,020
Answer:
7
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!
Eric and Amy Jackson wish to invest in a no-risk savings account. They currently have $55,000 in an account that has a 4.125% annual interest rate, compounded continuously. They have the following options:
a. keep their money in the account they already have
b. invest the money in an account that has 5% annual interest, compounded annually
c. invest the money in an account that has 4.5% annual interest, compounded quarterly
d. invest the money in an account that has 3.875% annual interest, compounded monthly
Write a function for each option, that represents the amount of money in the account after t years after the account is opened.
a. C(t) keep their money in the account they already have
b. A(t) invest the money in an account that has 5% annual interest, compounded annually
c. Q(t) invest the money in an account that has 4.5% annual interest, compounded quarterly
d. M(t) invest the money in an account that has 3.875% annual interest, compounded monthly
Answers
Answer:
2400 is your answer hiycguvh
Given that y varies directly with x, and y =10, when x=2. What is the value of x when y=7?
Answers
In the diagram FEL ~ JOS
Which ratios are equivalent to tan F? Select all that apply. (Don’t just choose one)
Answers
9514 1404 393
Answer:
EL/EF and OS/OJ
Step-by-step explanation:
In the similar triangles, angle F and angle J have the same measure, so will have the same tangent. The tangent is the ratio of the opposite side to the adjacent one.
In ΔFEL, the desired ratio is ...
tan(F) = EL/EF . . . . . 2nd choice
In ΔJOS, the equivalent ratio is ...
tan(J) = tan(F) = OS/OJ . . . . . 7th choice
hey guys a have wut is 2xA(19x56)Ax12 thanks if u can help me
Answers
Answer:yes
Step-by-step explanation:Bc I am right and right
Question 3 please help?!!!!
Answers
Answer:
First choice, 21/50
Step-by-step explanation:
16 + 9 + 22 + 26 + 15 + 12 = 100
Out of 100 tries, 16 times landed on 1 and 26 times landed on 4, added together is 42 times it landed on either a 4 or 1 out of 100
42/100, simplify it with 2, 21/50
Mr. Ortiz has 3/4 pound of oatmeal.
He uses 2/3 of the oatmeal to bake muffins.
How much oatmeal does Mr. Ortiz have left?
(With Explanation Pls)
Answers
Answer:
[tex]\frac{1}{4}\ pound[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\Amount\ of\ oatmeal\ Mr.Ortiz\ has=\frac{3}{4}\ pounds \\Amount\ of\ Oatmeal\ he\ uses\ to\ bake\ muffins=\frac{2}{3}\ of\ the\ amount\ he\ had\\Now,\\Lets\ first\ find\ the\ amount\ of\ oatmeal\ he\ used=\frac{3}{4}*\frac{2}{3}=\frac{1}{2}\ pounds\\Hence,\\The\ amount\ of\ oatmeal\ remains=Total\ amount\ of\ oatmeal-Amount\\ he\ used\ to\ make\ muffins\\Hence,\\The\ amount\ of\ oatmeal\ left\ with\ Mr.\ Ortiz=\frac{3}{4} - \frac{1}{2} =\frac{1}{4}\ pound[/tex]
A family paid $75 to rent a vacation house for a day plus $28 per person who were staying in the house. They paid $243 for a day in the house. How many people stayed there?
Answers
Answer:
6
Explanation:
Write the word sentence as an inequality. Then solve the inequality.
A number x divided by 7 is less than −3.
An inequality is
.
The solution of this inequality is
.
Answers
Answer:
x/7<-3x<-21Step-by-step explanation:
x/7<-3x<-3x7x<-21Answer:
The inequality x÷7<-3
The solution x<-21
Step-by-step explanation:
Solving- x÷7<-3
x<-3x7
x<-21
Whitey needs to paint a block wall that is 75½ feet long. After
several hours he finished ¾ of it. How many feet does he still need to
paint?
Answers
Answer:
18.875 feet left, not sure if you need to round that or not
Answer:
18 7/8 feetStep-by-step explanation:
Total length of the wall to be painted = 75 1/2 feet
Already painted part = 3/4 of total length
Remaining part to be painted:
1 - 3/4 = 1/4 of total lengthRemaining part in feet:
75 1/2 * 1/4 = 151/2 * 1/4 =151/8 = 18 7/8 feetCarson’s wheelbarrow can hold 345 pounds. If he has 121 pounds of rock in the wheelbarrow, what number of pounds, p, can he put in the wheelbarrow without going over the weight limit?
Answers
Answer:
345 in total. If there are already 121 in: 345-121=224 pounds.
Isaiah gave $18 to his Friends. He gave 4 to Ricardo, $7 to Jeremiah, and the rest to Fabian. how much money did Fabian get?
Answers
Answer:
Fabian got $7.
Step-by-step explanation:
Isaiah gave $18 to his friends--Ricardo got $4, Jeremiah got $7, and Fabian got the rest. This needs a math equation!
4 + 7 + f = 18
where f is the amount of money Fabian got.
4 + 7 + f = 18
(subtract 4 from both sides)
7 + f = 14
(subtract 7 from both sides)
f = 7
It looks like Fabian got $7! Let's check just to make sure.
4 + 7 + f = 18
4 + 7 + (7) = 18
18 = 18
It checks out!
Hope this helps!!
A cafeteria starts with 750 fish sticks for lunch. Each meal they serve uses 6 of the fish sticks, At the end of the lunch there are 42 fish sticks left. Let n be the number of meals served in the cafeteria. Set up and solve an equation to find the value of n.
Answers
Answer:
The value of N = 118
Step-by-step explanation:
750 = 6n + 42
move all the numbers that don't contain n to the right side
6n = 750 - 42
6n = 708
708 / 6 = 118
n = 118
plug the numbers back in
6 ( 118) = 708
708 = 708
plug the 42 back in
708 + 42 = 750
PLEASE HELP! DUE SOON!!!!
Answers
Answer: yes
Step-by-step explanation:
How can you verify trigonometric identities?
Answers
Answer:
Consequently, any trigonometric identity can be written in many ways. To verify the trigonometric identities, we usually start with the more complicated side of the equation and essentially rewrite the expression until it has been transformed into the same expression as the other side of the equation.
Step-by-step explanation:
is (2,5) a solution to this system of equation
Y=2x+1
2x+2y=15
(2,5)_________________a solution because____________________________
Answers
which is bigger -5/4 or 128%?
Answers
Answer:
128%
Step-by-step explanation:
Because -5/4 is a negative, no matter what is in front of the % in the128%, as long as it's a positive, it is bigger than -5/4
PLEASE HELPPPPP I NEED IT RIGHT THIS MINUTE PLEASEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
The answer is 3
Step-by-step explanation:
1/4(16 + 4)-2 = 3
Hope this helped ya
Answer:
1/4(16+4)-2
1/4(20)-2
5-2
3
Step-by-step explanation:
What is the slope of this graph? And is it continuous or discrete?
Answers
Answer: 45 degree and continuous
Step-by-step explanation: i used a protractor
disclamer:pls dont sue me i dont think im right
Holly earns $30 for babysitting 5 hours. She earns $28 when she does chores for 4 hours. Which compares the unit rates?
A. The unit rate for babysitting is $2 per hour more than the unit rate for doing chores
B. The unit rate for babysitting is $1 per hour more than the unit rate for doing chores
C. The unit rate for doing chores is $1 per hour more than the unit rate for babysitting
D. The unit rate for doing chores is $2 per hour more than the unit rate for babysitting
Answers
How can you use graphs to represent and analyze proportional relationships? EXIT TICKET Write an equation of the form y = kx for the relationship shown in the graph.
Answers
Answer:
5, 25
Step-by-step explanation:
What type of triangle is formed by joining the points D(7, 3), E(8, 1), and
F(4, -1)?
Answers
Answer:
right triangle
tep-by-step explanation:
i just took the test and worked this out
which table ordered pairs represents a linesr function (-7, 24) (0,2) (7,24) (14, 103)
(-7 -5) (0,1) (7,7) (14,13)
(-7,-5) (0,2) (7,9) (7,2)
(-7,-5) (0,2) (7,3) (14,6)
Answers
Answer:
which table ordered pairs represents a linesr function (-7, 24) (0,2) (7,24) (14, 103)
Step-by-step explanation:
Without graphing, what are the vertex , axis of symmetry, and transformations of the parent function? Y - |8x-3| - 3
Answers
Given:
Consider the given function is
[tex]y=|8x-3|-3[/tex]
To find:
The vertex , axis of symmetry, and transformations of the parent function?
Solution:
We have,
[tex]y=|8x-3|-3[/tex]
[tex]y=\left|8\left(x-\dfrac{3}{8}\right)\right|-3[/tex]
[tex]y=8\left|x-\dfrac{3}{8}\right|-3[/tex] ...(i)
It is an absolute function.
The vertex form of an absolute function is
[tex]y=a|x-h|+k[/tex] ...(ii)
where, a is a constant, (h,k) is vertex and x=h is axis of symmetry.
From (i) and (ii), we get
[tex]a=8,h=\dfrac{3}{8},k=-3[/tex]
So,
[tex]\text{Vertex}:(h,k)=\left(\dfrac{3}{8},-3\right)[/tex]
[tex]\text{Axis of symmetry}:x=\dfrac{3}{8}[/tex]
Parent function of an absolute function is
[tex]y=|x|[/tex]
Since, a=8 therefore, parent function vertically stretched by factor 8.
[tex]h=\dfrac{3}{8}>0[/tex], so the function shifts [tex]\dfrac{3}{8}[/tex] unit right.
k=-3<0, so the function shifts 3 units down.
Therefore, the vertex is [tex]\left(\dfrac{3}{8},-3\right)[/tex] and Axis of symmetry is [tex]x=\dfrac{3}{8}[/tex]. The parent function vertically stretched by factor 8, shifts [tex]\dfrac{3}{8}[/tex] unit right and 3 units down.
Factor completely
X4 + 8x2 + 16
A) (x2+4)
B) (x + 4)2
C)(x2 + 4)2
D)(x² + 16)2
Answers
The function y = -3x + 42 models the average number of dogs at an animal shelter, where x is the number of days after July 1. The function y = 4x + 7 models the average number of cats at the animal shelter, where x is the number of days after July 1. After how many days is the average number of cats and dogs at the shelter the same?
A. 5 days
B. 7 days
C. 35 days
D. 49 days
Answers
Answer:
A. 5 days
Step-by-step explanation:
Average number of dogs at an animal shelter: y = -3x + 42
Average number of cats at the animal shelter: y = 4x + 7
Where,
x = number of days after July 1
After how many days is the average number of cats and dogs at the shelter the same?
Equate both functions
-3x + 42 = 4x + 7
-3x - 4x = 7 - 42
-7x = -35
Divide both sides by -7
x = -35 / -7
= 5
x = 5 days
The correct answer is A. 5 days
HURRY I NEED HELP QUICKLY
-7 2/3 + (-5 1/2) + 8 3/4
Answers
Answer:
It would be -4 5/12 or -4.416
You need to design a new cereal box for the Yum Yum Cereal Company. The new cereal box must have a volume of 2400 cubic centimeters. Your task is to create a cereal box that would hold a volume of 2400 cubic centimeters of cereal. On your paper, draw the box and label its dimensions. Show your work to verify that the box you drew would hold 2400 cubic centimeters of cereal. Enter in BOTH sets of dimensions here. (Ex: Box #1 - length = ___, width = ____, height = ____, Box #2 - length = ___, width = ____, height = ____)
Answers
Answer:
Please find attached the required new cereal boxes for the Yum Yum Cereal Company created with Microsoft Visio
Step-by-step explanation:
The required volume of the cereal box = 2,400 cm³
The box is to be drawn and labeled as follows using Microsoft Visio
Box #1 Length = 16 cm, Width = 15 cm, Height = 10 cm
The volume = Length × Width × Height = 16 cm × 15 cm × 10 cm = 2,400 cm³
Box #2 Length = 30 cm, Width = 10 cm, Height = 8 cm
The volume = Length × Width × Height = 30 cm × 10 cm × 8 cm = 2,400 cm³
The sum of the exterior and interior angles of a triangle is always 360°.
True or false.
Answers
Good luck! I hope I helped!
simplify the complex fraction
Answers
Answer:
3.3333 (3 keeps repeating)
Step-by-step explanation:
Answer:
20/6 or 3 1/3
Step-by-step explanation:
4/3 / 2/5 can also be written as 4/3 x 5/2. That would equal 20/6, which when simplified equals 3 1/3