A store sells previously viewed movies. The table shows the cost of buying 1, 2, 3, or 4 movies.
a. Which mapping diagram represents the data in the table
Question 2
b. Is the relation a function? Explain.
Each input has exactly one output. Therefore, the relation is a function.
Question 3
c. Describe the pattern. How does the cost per movie change as you buy more movies?
The pattern is that for each input
increase
of
1
, the output
increases
by $1,2,3,4,6,12
less than the previous increase. For each additional movie you buy, your cost per movie
decreases
by $1,2,3,4,6,12
how much did the output increase in dollars and how much did the movie decrease
A relation may or may not represent a function.
The relation of the movie and its costs is a function.The pattern is that, as unit cost of each movie decreases as the number of movies increases.The costs are given as:
1 movie costs $102 movies cost $183 movies cost $244 movies cost $28(a) The mapping diagram
To do this, we simply point the number of movies, to the corresponding costs, using arrows
See attachment for the mapping diagram.
(b) Is the relation a function
From the attached mapping, we can see that:
The costs of each movie are different.
This means that: the relation is a function.
(c) Describe the pattern
Notice that as the number of movies increases, the cost also increases;
However, the unit cost decreases.
Hence, the unit cost of each movie decreases as the number of movies increases.
Read more about mappings, functions and relations at:
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ANSWER USING STEPS: y=2/3x-5
Solve the following system of equations:y=x2−4x+3 y=2x−2
[tex]y = 2x -2 ~~~~.....(i) \\\\y = x^2 -4 x +3 ~~~~ .....(ii) \\\\\\x^2-4x +3 = 2x -2\\\\\implies x^2 -4x -2x +3 +2 =0\\\\\implies x^2 -6x +5 =0\\\\\implies x^2 -5x -x +5 =0\\\\\implies x(x-5) -(x-5) =0\\\\\implies(x-5)(x-1) =0\\\\\implies x = 5 ~~ \text{or}~~ x = 1 \\\\\\\text{Substitute x = 1 in equation (i):}\\\\y = 2 -2 =0\\\\ \text{Substitute x = 5 in equation (i):}\\\\\\y = 2(5) -2 = 10 -2 =8 \\\\\text{Hence,}~~ (x,y) = (1,0) ~ \text{and} ~ (x,y) = (5,8)[/tex]
If oranges are sold at ₹45 per dozen, Manu can buy 6 dozens of them with the money he has. Find the decrease in the number of oranges that he can buy if the cost is increased by ₹9 per dozen
Answer:
first 45-6=36 and 36×6=216 the answer is 216
What is the volume, in cubic inches, of a rectangular prism with a height of 7 inches, a width of 10 inches, and a length of 9 inches?
Answer:
Step-by-step explanation:
87
Answer:
630 in.³
Step-by-step explanation:
To find the volume of a rectangular prism, you can multiply the height, times the width, times the length. So, let's go ahead and do that with the values of the given prism.
7 × 10 × 9 = 70 × 9 = 630
So, our volume is 630...but not so fast. We also have to put in our units. Our units are inches × inches × inches, or inches³. So our final value is 630 in.³
Hopefully that's helpful! :)
d = 10.2 ft, r = 0.5 ft/h
Answer:
20.4
Step-by-step explanation:
If you are using D = r × t
10.2 = 0.5(t)
10.2/0.5 = t
20.4 = t
Answer:
20.4
Step-by-step explanation:
a number divided by 5 increased by 4
Answer:
(n/5)+4
Step-by-step explanation:
I think you were asking for the equation?
Answer:
X/5 + 4
Step-by-step explanation:
X is the “number”
In parallelogram HJKL if JM=19 find ML.
Answer:
19
Step-by-step explanation:
in any parallelogram the diagonals bisect each other evenly. that means if JM = 19, ML is also 19. hope this helps
For each of the following equations, show that the given value of x is a solution of the equation by direct substitution.
a) x = 4/3, Equation: 3x^2 + 5x - 12=0
b) x=1 + square root 6 , Equation: x^2 - 2x-5=0
c) x= 1 + 2i, Equation: x^2 - 2x+5=0
a.
The value x = 4/3 is a solution of the equation 3x² + 5x - 12 = 0
Since the equation is 3x² + 5x - 12 = 0, if x = 4/3, is a solution, substituting x = 4/3 into the equation will make the equation will make the left hand side equal zero.
So, 3x² + 5x - 12 = 0
Substituting x = 4/3, we have
3(4/3)² + 5(4/3) - 12
= 3(16/9) + 20/3 - 12
= 16/3 + (20 - 12 × 3)/3
= 16/3 + (20 - 36)/3
= 16/3 - 16/3
= 0
So, x = 4/3 is a solution of the equation 3x² + 5x - 12 = 0
b.
The value x = 1 + √6 is a solution of the equation x² - 2x - 5 = 0
Since the equation is x² - 2x - 5 = 0, if x = 1 + √6, is a solution, substituting x = 1 + √6 into the equation will make the equation will make the left hand side equal zero.
So, x² - 2x - 5 = 0
Substituting x = 4/3, we have
x² - 2x - 5 = (1 + √6)² - 2(1 + √6) - 5
= (1² + 2√6 + (√6)²) - 2 - 2√6) - 5
= 1 + 2√6 + 6 - 2 - 2√6) - 5
= 2√6 + 6 + 1 - 2√6) - 5 - 5
= 2√6 + 7 - 2√6) - 7
= 2√6 - 2√6 + 7 - 7
= 0 + 0
= 0
So, x = 1 + √6 is a solution of the equation x² - 2x - 5 = 0
c.
The value x = 1 + 2i is a solution of the equation x² - 2x + 5 = 0
Since the equation is x² - 2x + 5 = 0, if x = 1 + 2i, is a solution, substituting x = 1 + 2i into the equation will make the equation will make the left hand side equal zero.
So, x² - 2x + 5 = 0
Substituting x = 1 + 2i, we have
x² - 2x + 5 = (1 + 2i)² - 2(1 + 2i) + 5
= (1² + 2(2i) + (2i)²) - 2 - 4i + 5
= 1 + 4i - 4 - 2 - 4i + 5
= 4i + 1 - 4 - 2 - 4i + 5
= 4i - 5 - 4i + 5
= 4i - 4i + 5 - 5
= 0 + 0
= 0
So, x = 1 + 2i is a solution of the equation x² - 2x + 5 = 0
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Original price of shorts $53.95 Discount 30% Tax:4.5%
Answer:157.35
Step-by-step explanation: multiply then add the tax
Simplify the expression. n+3(n−1)
Answer:
4n - 3
Step-by-step explanation:
[tex]n+3(n-1)\\n+3n-3\\4n-3[/tex]
Hello, can anyone help with this question?
Answer:
C. x-intercepts (1, 0) and (3, 0); y-intercept -3; vertex (2, 1)
Step-by-step explanation:
You are given y = -x² +4x -3.
For quadratic y = ax² +bx +c, the sum of the x-intercepts is -b/a, and their product is c/a. Here, that means the sum of the x-intercepts must be -4/(-1) = 4. That eliminates choice A.
The y-intercept is the constant (c), so is -3. That eliminates choice D.
The x-coordinate of the vertex is -b/(2a), which is half the sum of the x-intercepts. Here, that is 4/2 = 2. That eliminates choice B.
The only remaining answer choice is the correct one: choice C.
Let F(x) =( 3x/2) - (14/3) for x = 4. What is the value for F(x)
Answer:
f(4) = 1.4
Step-by-step explanation:
f(x) = (3x/2) - (14/3)
We are given that x = 4
f(4) = (3(4)/2) - (14/3)
f(4) = (12/2) - (14/3)
f(4) = 6 - (14/3)
14/3 as a decimal is 4.6
f(4) = 6 - 4.6
f(4) = 1.4 (approximately)
Gretchen bought her 3 daughters a 27-page sticker book. She split the pages equally among the girls. If each page had 24 stickers, how many sticker did each girl get?
Answer: the daughters got 216 stickers each
Step-by-step explanation:
27 times 24 is 648
648 devided by 3 is 216
so therefore your answer would be 216
hope this helps
what is the reason for line 3??
Answer:
SAS similarity
Step-by-step explanation:
LO and LP are proportional to LN and LM, as shown by:
[tex]\frac{LO}{LN} =\frac{LP}{LM}[/tex]
Because these are equal, both pairs of corresponding lines have the same scale factor and are proportional as a result. The angle between them is congruent due to the reflexive property as given, and with 2 pairs of proportional sides including the angle, ΔLMN is similar to ΔLPO by the SAS similarity postulate
Find two positive numbers whose product is 300 and such that the sum of the first and four times the second is a minimum.
The two positive numbers whose product is 300 and such that the sum of the first and four times the second is a minimum are 7.66 and 39.16
Let the two variables be x and y
If the product of the numbers is 300, hence
xy = 300
x = 300/y ........ 1
If the sum of the first and four times the second is a minimum, then;
P(x, y) = x + 4y .................. 2
Substitute equation 1 into equation 2:
P(x, y) = x + 4y
P(y) = 300/y + 4y
If this function is at mimimum, hence dP/dy = 0
dP/dy = -300/y² + 4 = 0
-300/y² + 4 = 0
-300 + 4y² = 0
4y² = 300
y² = 300/4
y²= 75
y = 7.66
Since xy = 300
x = 300/7.66
x = 39.16
Hence the two positive numbers whose product is 300 and such that the sum of the first and four times the second is a minimum are 7.66 and 39.16
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The students in art clas are designing a stained glass window to hang in the school entryway. The window wil
be 3 feet tall and 4 feet wide.
They have raised $100 for the project. The colored glass costs $5 per square foot and the dear glass costs $2
per square foot. The material they need to join the pieces of glass together costs to cents per foot and the
frame around the window costs $4 per foot
Do they have enough money to cover the cost of making the window.
Answer:
They don't have enough money
Step-by-step explanation:
Colored Glass =
$5/ 1 square = 60 / 12 square
Clear Glass =
2/1 = 24 / 12
Materials =
1/ 1= 1.2 / 12
Frame=
$4 / 1 ft = 28 / 12
TOTALS
60+24+1.2+28 = 113.2
A family buys a studio apartment for $180,000. They pay a down payment of $27,000.
a. Their down payment is what percent of the purchase price?
b. What percent of the purchase price would a $9,000 down payment be
Answer:
down is $153000 while purchase price is $144000
kyle has two snakes fluffy is 2 meters long muffy is 900 millimeters long compare their lengths to fill in the blanks
_____ is the longest snake.
_____ is ______
millimeters longer than ____
PLSS HELP!!
Answer:
fluffy is the longest snake.
muffy is 900 millimeters longer than fluffy
Step-by-step explanation:
PA BRAINLIEST
HOPE ITS HELP
GOD BLESS
A number, n, is divided by -1/3. The product is 6/5 what is the value of n?
Steps are attached.
Answer =》n = -2/5 = -0.4
______
RainbowSalt2222 ☔
Factor x^2+5x+2 trinomial
Answer:
You cannot factor this.
Step-by-step explanation:
Nothing can multiply, to equal 2 and add up to 5.
a cyclic quadrilateral is shown x : y = 3 : 7
work out the size of angle z
Answer:
116
Step-by-step explanation:
this is the correct answer
A family gathered 20 small sea shells from the beach brining the total number of small seashells in their collection to 41.
Which equation can be used to find, x, the number of small sea shells in the collection before the 20 were added
A:. 20_x =41
B:. x- 21 =41
C:. x + 20 =41
D:. 20x=41
HELPPPP
EXCEPT PT TH 20_x UNDER EACHOTHER PLS
Answer:
C, x + 20 = 41
Step-by-step explanation:
X represents the number of small sea shells that we originally had. When the family adds 20 more shells, that makes x + 20. The total number is 41, so that means the number of sea shells they already had (x) plus the number of sea shells they collected (20) equals the number of shells they have now (41).
100 POINT QUESTION!!!!!!!!!!!!!!!!!!!!!!!!!
Solve 7x2 – 3x – 10 = 0 using the quadratic formula.
Question 15 options:
A)
x = –2, 20∕7
B)
x = 20, –14
C)
image
D)
x = –1, 10∕7
Answer: D is my best guess
Step-by-step explanation:
I'm going to pick a number between 0 and 10 inclusive, multiply it by 5, add 7 to the result, multiply that sum by 2, then pick a number between 0 and 10 to add to my product, then subtract 6. My result is 45. What is the product of the two numbers I picked?
We want to find the two numbers you picked, we will find that the two numbers you picked are 3 and 7.
First, you pick a number between 0 and 10, let's say that the number is N.
Then multiply it by 5 and add 7, so we get:
(5*N + 7)
Now we multiply this by 2
2*(5*N + 7)
Now we add another number between 0 and 10, let's call it M.
We need to add that to the product, and then subtract 6, and that will be equal to 45.
2*(5*N + 7) + M - 6 = 45
Now let's simplify the expression:
2*(5*N + 7) + M = 45 + 6 = 51
10*N + 14 + M = 51
10*N + M = 51 - 14 = 37
10*N + M = 37
With this, we want to find the values of N and M, but remember that these two values belong to the interval [0, 10]
So the only two solutions are:
N = 3 and M = 7
such that:
10*3 + 7 = 30 + 7 = 37
So the two numbers you picked are 3 and 7.
If you want to learn more, you can read:
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Are the ratios 2:1 and 11:9 equivalent?
Answer: No
Step-by-step explanation:
2 is double 1.
Because 11 is not double 9, the ratios are not equivalent.
Hope it helps :)
There are 25 students in a class, and 6 of them will be chosen to go on a field
trip. How many ways can these students be chosen?
Answer:
just figure it out or just search it somewhere on the brainly app for the answer :)
Which of the following points lie on a line that passes through the origin with a slope of −2/5? Select all that apply.
A)
(0, 0)
B)
(1, −25)
C)
(−2, 5)
D)
(−1, 25)
E)
(4, 10)
F)
(−5, 2)
Answer:
a f
Step-by-step explanation:
(−5, 2) is point lie on a line that passes through the origin with a slope of −2/5
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
We need to find the points lie on a line that passes through the origin with a slope of −2/5
The line passes through (0, 0) and (x, y) form a slope of -2/5
-2/5=y/x
So y is 2 and x is 5.
Hence, (−5, 2) is points lie on a line that passes through the origin with a slope of −2/5
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Write each number as a logarithm with base 3.
The answers has to be in this form: log .....
3
A) 0
B) -2
C) 4
Please answer. Correct answer gets BRAINLIEST ! Please don't ignore this.
A baseball player gets 18 hits in the first 21 games of the season. If he continues hitting at the same rate, how many hits will he get in the first 28 games?
In the first 28 games, he'll get how many hits.
Answer:
126
Step-by-step explanation: I am pretty sure this is right so my explanation for this answer is, I subtracted 28 by 21 to see how many games were left, I got 7. So then I multiplyed 18 by 7 to see the total of each to have the final answer.
(sorry if wrong)