Answer:
m = 5
Step-by-step explanation:
4m - 2 / 3 = 6
4m - 2 / 3 * 3 = 4m - 2
6 * 3 = 18
4m - 2 = 18
4m - 2 + 2 = 4m
18 + 2 = 20
4m = 20
4m / 4 = m
20 / 4 5
m = 5
18. Elyse has a gift card that she can use to
rent movies online. The graph shows the amount of
money remaining on her gift card based on the number
of movies she rents.
a. Write an equation to represent the situation.
b. What is the y-intercept, and what does it mean in the
context of the situation?
c. What is the slope, and what does it mean in the context
of the situation?
Answer:
Step-by-step explanation:
The complete question in the attached figure
Let
x ----> the number of movies
y ----> the amount of money remaining on her gift card
we know that
The slope of the linear equation is equal to the unit rate
take two points from the graph
(0,18) and (2,12)
Find the slope
---> is negative because is a decreasing function
That means -----> Each movie she rents cost her $3, so her gift card balance will decrease $3 for every movie rented
The linear equation is equal to
For y=0
so
6 is the maximum number of movies that Elyse can rent on line
The solution is
a) The equation of line is y = -3x - 6
b) The y-intercept of the line is -6 which means when the number of movies x = 0 , the amount on gift y = -6
c) The slope of the line is -3 which means the rate of change of amount on gift is decreasing with number of movies x
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be A
The value of A = A ( 2 , 12 )
Let the second point be B = B ( 4 , 6 )
a)
Now , the slope of the line is given by the equation
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
On substituting the values in the equation , we get
Slope m = ( 6 - 12 ) / ( 4 - 2 )
Slope m = -6/2
Slope m = -3
Therefore , the slope is -3
The equation of line is given by the formula
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 12 = -3 ( x - 2 )
On simplifying the equation , we get
y - 12 = -3x + 6
Adding 12 on both sides of the equation , we get
y = -3x - 6
So , the equation of line is y = -3x - 6
b)
The y intercept of the equation of line y = -3x - 6 is -6 , when x = 0
c)
The slope of the line y = -3x - 6 is m = -3 and the value is decreasing
Hence ,
a) The equation of line is y = -3x - 6
b) The y intercept of the equation of line y = -3x - 6 is -6
c) The slope of the line y = -3x - 6 is m = -3
To learn more about equation of line click :
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Can someone help me????
Determine whether the event is impossible, unlikely, as likely as not, likely
or certain. You flip a fair coin and the coin will land heads up.
what is 5.2x10^2 in standard form
What is the probability of rolling an even number on a number cube and flipping a head with a fair coin?
CLICK ON THIS, 30 POINTS+BRAINLIEST
3RD TIME IM POSTING THIS! PLEASE HELP, THIS TIME BRAINLIEST AND 30 POINT!!!!!!!!
WHO WOULDN'T WANT THAT BY JUST ANSWERING 2 QUESTIONS!!!!!!!!
Answer:
30%
Step-by-step explanation:
5%
1st
Decreased by 20%
2nd
Increased by 10%
(Excuse me if im wrong, I did this in a rush)
Solve this equation:
7x - [5 + (3x - 2)] = x - (4x - 5) + (2x - 1)
Answer:
x = 7/5
I hope this helps
Step-by-step explanation:
7x - [5 + (3x - 2)] = x - (4x - 5) + (2x - 1)
7x - 5 -3x +2 = x -4x +5 +2x -1
4x -3 = -x +4
4x +x = 4+3
5x = 7
x = 7/5
NEED HELP WILL GUVE 5 stars
Answer:
m=15
Step-by-step explanation:
m/9 + 2/3
x 3 7/3 x 3 = 21/9
m/9 + 6/9 = 21/9
21-6=15
15/9 + 6/9 = 21/9 = 7/3
PLEASE HELP MEEEEE THAnK YOU
To buy a new game, Sofia saved up $33.57. Her friend Demetrio saved up $21.34. How much money did they save up together? Show your work or explain the answer
Answer:
They saved up $51.91
33.57 + 21.34 = 51.91
20 points!~ And thanks if you help me.
Answer:
he should let the other angle be x
then according to question
supplementary angle sum = 180
hence
x + 68 = 180
Describe the domain and range of:
f(x) = — 4/x+1 +3
Answer:
Set the denominator in 4x equal to 0 to find where the expression is undefined. x=0
The domain is all values of x that make the expression defined.
Interval Notation: (−∞,0)∪(0,∞)
Set-Builder Notation: {x|x≠0}
The range is the set of all valid y values. Use the graph to find the range.
Interval Notation: (−∞,4)∪(4,∞)
Set-Builder Notation: {y|y≠4}
Determine the domain and range.
Domain: (−∞,0)∪(0,∞), {x|x≠0}
Range: (−∞,4)∪(4,∞), {y|y≠4}
Step-by-step explanation:
what ratio is equivalent to 6 out of 15
Answer:
40%
Step-by-step explanation:
Answer:
2:5
Step-by-step explanation:
6/15 divided by 3/3 = 2/5
2/5 is the most simplified it can get
2:5
Caroline is going to invest $5,500 and leave it in an account for 10 years. Assuming
the interest is compounded continuously, what interest rate, to the nearest tenth of a
percent, would be required in order for Caroline to end up with $10,100?
Answer:
6.1
Step-by-step explanation:
I just know
Please solve quickly! Qestion: c - 1.5 = 7
Answer:
8.5
Step-by-step explanation:
c = 8.5
hope this helps
Answer:8.5
Step-by-step explanation:
Add 7 and 1.5
Select ALL the statements that have exactly ONE solution
(a. Only one value will make the equation true
(b. The solution is true always. An identity is always true, for any value of x
(c. No values will make the equation true.
(d. The solution is never true. A contradiction is never true for any value of x
(e. The solution is true sometimes. A conditional equation is true for some value of x.
(f. Any value will make the equation true
(g. The lines will be in top of each other
(h. The lines will be parallel (never touch).
(I. The lines will cross each other at one po
Answer:
I don't know the answer to this question.
Suppose a city with population 700,000 has been growing at a rate of 6% per year. If this rate continues, find the population of this city in 19 years.
Answer:2117919
Step-by-step explanation:
First year: 700000*1.06
Second year:700000*1.06*1.06
.
.
.
19th year: 700000*(1.06)^19
NEED HELP!!!
Please HELP !!!!please help
Answer:
4y
Step-by-step explanation:
Hey There!
given the equation
y - (-3y)
the two negative signs cancel out and make it into
y + 3y which is equal to 4y
thus meaning the answer to your problem is 4y
A large balloon is tethered to the ground using a 95-foot cable. The wind is pushing the balloon so that the
cable is making a 70 degree angle with the ground. Approximately how high is the balloon?
Use and label the diagram in the work space to help determine the height of the balloon.
Round your answer to the nearest tenth.
Answer:
Given the value of the trigonometric function, find the value of the other 5 ... A 25-meter line is used to tether a helium-filled balloon. Because of a breeze, the line makes an angle of approximately 75° with the ground. a. ... and use a variable to indicate the height of the balloon.
Step-by-step explanation:
Laila took a very long Math exam and got 24 questions wrong out of 120 questions. What percentage of the total questions did she get correct?
Answer:
Laila got 96 out of 120 questions wrong. Laila got 80% on the exam. 20% is the rate of the 24 questions you missed.
Step-by-step explanation:
Hope this helps u
There is a line whose slope is and whose y-intercept is 20. What is its equation in
12
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit
Answer:
Step-by-step explanation:
y = (1/12)x + 20
In a cafeteria,
3
8
of the students are eating salads, and
1
4
are eating sandwiches. There are 16 students in the cafeteria. How many students are eating lunches other than salads or sandwiches?
whoever helps and gets it right i will give Brainliest
Answer:
A
tyler has a points card for a movie theater.
he receives 75 rewards points just for signing up.
• he earns 10.5 points for each visit to the movie theater.
he needs 180 points for a free movie ticket.
.
a
how many visits must tyler make to earn a free movie ticket?
Step-by-step explanation:
Right triangles trigonometry
Step-by-step explanation:
1.
sin63=x/16
16sin63=14.3
x=14.3
Find the quotient of 1 1/4 and 3 1/2 express your answer in simplest form
Answer:
11/14
Step-by-step explanation:
11/4 / 3 1/2
3 1/2= 3*2+1= 6+1=7/2
11/4 * 2/7= 22/28
22/2=11
28/2= 14
11/14
11/14 is the answer! (Quotient in simplest form)
43.8% complete This is a Single Choice Question; skip ahead to question content A B C D E Confirm To order the right amount of flooring, you need to know the floor area of the living room shown below. What is that area, in square feet?
Answer: 180 ft²
Step-by-step explanation:
The rest of the question is:
The living room is 18 feet wide and 10 feet long.
The floor seems to take the shape of a rectangle because it has one dimension being longer than the other.
As this is a rectangle, the floor area will be calculated by the formula:
= Length * Width
= 10 * 18
= 180 ft²
pls help im stuck. i dont understand where to start and what to do
Answer:
40cm²
Step-by-step explanation:
To find the area of a parallelogram you can simply do length × width.
A = lw
A = 5(8)
A = 40
Answer:
It might be 45
Step-by-step explanation:
Which ordered pair is a solution of the equation 3x − y = −10?
A. (3, 19)
B. (−10, −19)
C. (−10, −21)
D. (−3, −2)
Answer:
c
Step-by-step explanation:
Write an inequality to express the fact that a checking account balance of $56 is less than a balance of $21. What is the difference in the balances?
Answer:
120
Step-by-step explanation:
WHAT DIVIDED BY 9 = -5
Answer:
−1.8
Step-by-step explanation:
Select the correct answer.
Consider the geometric sequence.
8, 4, 2, 1, . . .
Given that the sequence is represented by function f, what are the values of f(1) and the common ratio?
f(1) = 8
Common ratio: 0.5
f(1) = 4
Common ratio: 2
f(1) = 4
Common ratio: 0.5
f(1) = 8
Common ratio: 2
Answer:
f(1) = 8
Common ratio: 0.5
Step-by-step explanation:
f(1) is the first term, which is 8.
The common ratio = 4/8 = 2/4 = 1/2 etc