Given :-
A line having a slope of 3/2 passes through (2,-1) .
To Find :-
The equation of the line .
Answer :-
According to the question ,
m = 3/2
Point = (2,-1)
We know Point slope form of the line as ,
y - y¡ = m ( x - x ¡ )
Substitute ,
y - (-1) = 3/2 ( x - 2 )
y + 1 = 3/2x - 3/2*2
y +1 = 3/2x - 3
2( y +1) = 3/2x *2 - 3*2
2y + 2 = 3x - 6
3x -2y -8 = 0
4X + 5Y = 21
-4X + 8Y = -8
And
X + 5Y = 5
3X - 5Y = 3
Answer:
for the first one
Step-by-step explanation:
(x,y)=(4,1)
Jimmy is buying balloons and party hats for his little sister’s birthday party. The party store charges $1.50 for each bag of balloons and $6.00 for each package of hats. Which of the following equations could be used to determine different combinations of b bags of balloons and h packages of party hats that he could buy for a total of $24 A.) b+h=24
B.) (1.50+6.00)(b+h)=24
C.) 1.50b+6.00h=24
D.) 6.00b+1.50h=24
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
1.5b + 6.00h will make 24
Solve the absolute value equation.
│4x + 3│= 3
A. x = 0 or x = negative three over two
B. x = 0 or x = 3 over 2
C. x = 1 or x = negative three over two
D. x = 1 or x = 3 over 2
Answer:
A
Step-by-step explanation:
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |4x+3|
For the Negative case we'll use -(4x+3)
For the Positive case we'll use (4x+3)
-(4x+3) = 3
Multiply
-4x-3 = 3
Rearrange and Add up
-4x = 6
Divide both sides by 4
-x = (3/2)
Multiply both sides by (-1)
x = -(3/2)
Which is the solution for the Negative Case
(4x+3) = 3
Rearrange and Add up
4x = 0
Divide both sides by 4
x = 0
Which is the solution for the Positive Case
x=-3/2
x=0
The solution of the absolute equation │4x + 3│ = 3 will be 0 and - 3/2. Then the correct option is A.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The absolute function is also known as the mode function. The value of the absolute function is always positive.
f(x) = |x - h| + k
The absolute function is given as,
│4x + 3│ = 3
Simplify the equation, then we have
│4x + 3│ = 3
4x + 3 = ± 3
4x = - 3 ± 3
For positive signs, then we have
4x = - 3 + 3
4x = 0
x = 0
For negative sign, then we have
4x = - 3 - 3
4x = - 6
x = - 3/2
The solution of the absolute equation │4x + 3│ = 3 will be 0 and - 3/2. Then the correct option is A.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Madison is given rectangle ABCD with one diagonal BD
Answer:
i. Rotate
ii. Translates
Step-by-step explanation:
Rigid transformations are the methods required in which the orientation, dimension, position, or size of a given figure can be transformed. Some types of rigid transformation are: rotation, translation, reflection, etc.
From the given question, the two rigid transformation procedure required for Madison to prove that ΔABD ≅ ΔCDB by rigid transformations are: rotation and translation.
Madison decides to rotate ΔABD [tex]180^{o}[/tex] about point B to create triangle A'B'D'. Next she translates A'B'D' along diagonal BD until point B' from ΔA'B'D' lines up with point d from ΔCDB.
Therefore,
ΔABD ≅ ΔCDB
Solve 2(2 – x) = 3x + 4.
Answer:
Step-by-step explanation:
2(2 – x) = 3x + 4.
4 - 2x = 3x + 4
-5x = 0
x = 0
What's the equation of the line that passes through the points (-7,0) and (-7,8)
Answer: x = -7
Step-by-step explanation: use the slope formula and slope intercept form y = mx + b to find the equation
Answer:
x = -7
Step-by-step explanation:
This equation produces a vertical line that will go through (-7,0) and (-7,8) along with all other real y values.
2. Which of the following is contained in the solution for the
inequality 5x < 3(x + 2) + 2 ? Justify your answer for full credit.
A.
4
C. 7
B.
2
D.
15
Jamal has a plan to save money for a trip. Today, Jamal deposits $10.00 into the savings account. Each week, Jamal will add $5.00 to the amount that is deposited into the savings account. The table below shows the relationship between the number of weeks and how much money, in dollars, Jamal deposits into the savings account.
Let f(x)represent the amount of money Jamal deposits into his savings account at the end of x weeks. Based on the table, what is f(10)?
Answer:
y = 5x + 10
Step-by-step explanation:
using the formula y = mx + b you can easily find the answer.
where
m = the rate of change
b = constant
x = the independent variable
Since he has the initial $10.00 added to the account, we know that is the constant since he won’t be adding that anymore.
Since he will be adding $5.00 to the account every month we know that this is the rate of change.
the variable x will change depending on the number of months passed.
Therefore we can create the equation:
y = 5x + 10
Mark spent $135 on his comic book collection. He just sold it online for $310. Approximately what is the profit as a percent of his original cost?
Answer: $4.45
Step-by-step explanation: you will get $4.45
Answer:
it should be 445%
Step-by-step explanation:
4x+4
jbujgbujbjkgubujgbn jbguhvnhghjf
Answer: You can’t really add them
Step-by-step explanation: Since 4x has a variable, and 4x and 4 aren’t like terms, you CAN NOT add them together. I’m not sure if that was what you were looking for.
Find the solution to the equation
16.2 + n = 16
Answer:
-0.2
Step-by-step explanation:
to find n you need to get it all by itself so you subtract 16.2 from both sides so on the left side it cancels out and on the right side it equals -.02 which is then equal to n which is your answer
The equation y-4=-3(x+4) is written in point-slope form. What is the y-intercept of the line? *
1 point
16
-8
1
-7
Other:
Answer:
-8
Step-by-step explanation:
you need to rewrite it in y=mx+b form where b-is the y-intercept
y-4= -3(x+4)
distribute
y-4 = -3x-12
isolate y
y= -3x-8
compare this with the y=mx+b so y-intercept is -8
64 is 66 2/3% of what number
Answer:
Step-by-step explanation:
0.95
Helen draw a massive circle she the
Colin invests £9100 into his bank account.
He receives 2.5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.
Answer:
The total amount accrued, principal plus interest, from simple interest on a principal of $9,100.00 at a rate of 2.5% per year for 3 years is $9,782.50.
Step-by-step explanation:
Principle amount = P = £9100
interest rate = r = 2.5% per year
Time period = t = 3
Simple Interest = 9100 × 2.5% × 3 = £682.5
Total amount = Principal amount + Simple interest
= 9100 + 682.5
= £9782.5
Therefore, the total amount accrued, principal plus interest, from simple interest on a principal of £9,100.00 at a rate of 2.5% per year for 3 years is £9,782.50.
The scatter plot shows the number of minutes each of 28 people played a video game and the number of levels each person completed in the video game. Which statement is best supported by the scatter plot? Please help me!!!
Answer:
28 people played a video game
Step-by-step explanation:
can I get some help;
Answer:
I was never good at this in math...
Answer:
X = 30
Y = 14
Step-by-step explanation:
x/20 = 18/12
multiply both sides by 20
x = 18/12 x 20 = 30
y/21 = 12/18
multiply both sides by 21
y = 12/18 x 21 = 14
help asap!!
The graph of a linear function is shown on the grid.
Which equation is best renresented by this graph?
the hypotenuse of a 45-45-90 triangle has a length of 10 units what is the length of one of its legs
end of each of the next 20
Suppose you earned a $555,000 bonus this year and invested it at 8.25% per year. How much could you withdraw
years?
Select the correct answer.
a. $57,592.18
b. $57,500.68
c. $57,575.18
d. $57,609.18
e. $57,583.68
Answer:
Annual withdraw= $57,583.68
Step-by-step explanation:
Giving the following information:
Present Value (PV)= $555,000
Interest rate (i)= 0.0825
Number of periods (n)= 20
To calculate the annual withdrawals, we need to use the following formula:
Annual withdraw= (PV*i) / [1 - (1+i)^(-n)]
Annual withdraw= (555,000*0.0825) / [1 - (1.0825^-20)]
Annual withdraw= $57,583.68
Please help will mark brainliest........ another answer is D, (-9,5), (-1,2), (-6,-1)
Answer:
C I think
Step-by-step explanation:
It's kinda hard to explain... I'd need more time to be sure, sorry. When's this due? Can you send a bigger picture and can I have about 10 more mins to solve, give or take?
How many solutions does this equation have?
–5d + 6 = 6 − 5d
Answer:
maannnyyy
Step-by-step explanation:
the observation of an underground data in their ascending order are 12,15,X,19,28. if the median of the data is 18 find the value of x
Answer:
The value of x = 18
Step-by-step explanation:
Given the data set
[tex]12,15,x,19,28[/tex]
Given that the median of the data is 18.We know that the median is the middle number in a data set when the data points are in ascending order.As the given data is already in ascending order.
Please observe that the data set has an odd number of data points, meaning that the middle number is the median of the data is 18.As 'x' is the middle number, thus it represents the median value.
Therefore, the value of x = 18
Please! I’ll give brainliest!
Answer:
a. fill in 8out of the 10 rows of the grid. Then subtract 3/10ths of the squares that are filled in
b. 70/100 x 8/10 = 14/25 kg
c. 0.7 x 0.8 = 0.56 kg
d. less, by 0.24 kg
I hoped this helped! :)
What is the slope of a line parallel the the line whose equation is x+y=5. Fully reduce your answer.
Answer:
m = -1
Step-by-step explanation:
Find the slope of this line.
x+y=5
y= (-1)x+5
Slope (m) = -1 <-- from y = mx+b
A line parallel to the line will have the slope -1.
Please help!!!
The cost of producing n necklaces is p(n)=15n + 60. The necklaces cost $30, which can be represented by c(n) = 30n. For how many necklaces does the cost of production equal the sales?
Answer:
4 necklaces
Step-by-step explanation:
when p(n)=c(n), the cost equals the sales
15n+60=30n
60=15n
n=4
The lines represented by the equations 20y−24x=−20 and 5y−6x=−5 are...
a)perpendicular
b)the same line
c)neither parallel nor perpendicular
d)parallel
Answer:
parallel i think
Step-by-step explanation:
parallel because it's a unknown error
Answer:
Choice B
Step-by-step explanation:
The best way to compare two lines is to solve for y.
The first equation:
For [tex]20y-24x=-20[/tex] the first thing we should do is add the 24x on both sides which will cancel out itself on the left side [tex]20y=24x-20[/tex]. Now all we have to do is divide the 20 on both sides to leave us with [tex]y=\frac{6}{5}-1[/tex].
The second equation:
For [tex]5y-6x=-5[/tex] the first thing we should do is add the 6x on both side which will cancel itself on the left side [tex]5y=6x-5[/tex]. Now all we have to do is divide the 5 on both sides to leave us with [tex]y=\frac{6}{5}x-1[/tex].
Now for the comparison:
They are the same exact line. If you were to graph them they would overlap each other.
Select the correct answer. The graph shows the calling charges of two cell phone companles. At how many minutes do the two companies charge the same amount?
a.0
b.15
c.20
d.40
Answer: c
Step-by-step explanation:
PLEASE HELP
(-1,1)
(0,-1)
(5,-11)
(10,-21)
What is the domain of the set of ordered pairs above?
A.
{1, -1, -11, -21}
B.
{-1, 1}
C.
{-1, 0, 5, 10}
D.
{-1, 10}
What is the domain of the set of ordered pairs above
c {-1 ,0, 5, 10}
Answer:
c {-1 ,0, 5, 10}
Step-by-step explanation:
7x/12 -11= -8
what is x?
pls hurry I need help.
DO NOT convert to a decimal
Answer:
x = 5 1/7
Step-by-step explanation:
7x/12 -11= -8
7x/12 = 3
x = 3 . 12 /7
x = 36/7
x = 5 1/7
