The translated absolute value function graphed is defined as follows:
y = |x - 3| + 5.
What is the absolute value function?The absolute value function, of vertex (h,k), is defined by the following piecewise rule, depending on the input of the function:
f(x) = |x - h| + k = x - h + k, x - h ≥ 0.f(x) = |x - h| + k = -x + h - k, x - h < 0.In this problem, the coordinates of the vertex are given as follows:
h = 3, as the x-coordinate of the vertex is of 3.k = 5, as the y-coordinate of the vertex is of 5.Hence the vertex is given by the following point:
(3,5).
Then the equation graphed is defined by the rule presented as follows:
y = |x - 3| + 5.
Which is a translation of 3 units right and 5 units up of the standard absolute value function.
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write ax +by =c in terms of a? solve for a
Answer:
a = (c - by) / x
Step-by-step explanation:
ax + by = c
ax = c - by
a = (c - by) / x
PAGE 6
7. Maymont Middle School is selling tickets for the winter musical. Adult tickets cost $5 each and child
tickets cost $3 each.
a. Write a mathematical equation that represents the total cost, t, for a adult tickets and c child tickets.
b. Ciera has $28. Could she buy 2 adult tickets and 7 child tickets? Use your equation from part a. to show
your work.
c. Jaylen has $22. If he buys 2 adult tickets, how many child tickets can he buy? Show your work.
C2022 Iluminate Education, Inc.
Question
Edit ->
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Question 7b
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a) A mathematical equation that represents the total cost, t, for a adult tickets and c child tickets is t = $5a + $3c.
b)No, she cannot buy 2 adult tickets and 7 child tickets.
Define equation.Mathematical equations are relationships between two expressions that are equal on both sides of the equal to sign. An equation is, for instance, 3y = 16.
Given,
Maymont Middle School is selling tickets for the winter musical. Adult tickets cost $5 each and child tickets cost $3 each.
a) Mathematical equation:
represents the total cost, t, for a adult tickets and c child tickets
t = $5a + $3c
A mathematical equation that represents the total cost, t, for a adult tickets and c child tickets is t = $5a + $3c.
b) Ciera has $28.
a = 2 c = 7
Equating values in equation,
= $5(2) + $3(7)
= $10 + $27
= $37
No, she cannot buy 2 adult tickets and 7 child tickets.
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4u+8v=-3u+2v
pleaseeee
Answer:
solve for u= 6v/7
solve for v= 7u/6
Step-by-step explanation:
algebra 2 please help!!
Answer:
A
Step-by-step explanation:
Translation of 3 units is a plus 3 away from the x
A history teacher asked her students how many hours of sleep they had the night before a test. The data below shows the number of hours the student slept and their score on the exam. What is the best linear regression model rounded to the nearest hundredth? image A. y = 6.38 x + 35.63 B. y = 6.37 x + 0.78 C. y = 35.60 x + 6.378 D. y = 35.63 x + 6.38
The best linear regression model for the grade according to the number of hours slept is of:
A. y = 6.38 x + 35.63.
How to obtain the equation of linear regression for a data-set?To obtain the linear regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in a linear regression calculator. These points are given on a table or in a scatter plot in the problem.
For this problem, the points are given in the table given by the image at the end of the answer, and are given as follows:
(8, 83), (7, 86), (7, 74), (8, 88), (6,76), (5, 63), (7, 90), (4, 60), (9,89), (7,81).
Inserting these points into the linear regression equation, the equation is given as follows:
y = 6.38 x + 35.63.
Hence the correct option is given by option A.
Missing Information
The problem is given by the image shown at the end of the answer.
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Which graph represents the inequality y ≥ 1-3x?
Answer: show us the graph
Step-by-step explanation:
what is 10x - 5 = 105
Answer:
x =11
Step-by-step explanation:
report this so that girl in the comments can give you an answer
Answer: -50
Step-by-step explanation:
PC=3x+7, can you find PC?
The value of PC is 40 when C is the circumcenter of triangle PQR.
Given that,
Consider the complete question is
C is the circumcenter of triangle PQR.
PC=3x-7
RC=5x-15 &
QC= 51-x
We have find the side PC.
A triangle's vertices are equidistance spaced from its circumcenter.
PC=RC=QC
RC=QC
5x-15= 51-x
5x+x= 51+15
6x=66
x=11
The value of x is 11.
We must determine PC's worth.
Substitute x=11 in the above equation.
PC= 3x+7
PC= 3(11)+7
PC=33+7
PC= 40
Therefore, The value of PC is 40 when C is the circumcenter of triangle PQR.
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follow the steps to find the area of the Shaded region. use trigonometry to find the height of the triangle. ROUND TO THE FOURTH DECIMAL PLACE!
The height h of the triangle is equal 6.2cm
Trigonometric RatioTrigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle. The basic trigonometric ratios are sin, cos, and tan, namely sine, cosine, and tangent ratios.
In this case, we have some data and we can easily plug in those values and find the height.
Angle = 51 degreesHypothenuse = 8cmopposite = hWe can apply the sine ratio to this problem and solve.
sinθ = opposite / hypothenuse
sin 51 = h /8
h = 8 sin 51
h = 6.2cm
Using trigonometric ratio, the value of h is 6.2cm
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on average, 3 traffic accidents per month occur at a certain intersection. what is the probability that in any given month at this intersection (a) exactly 5 accidents will occur? (b) fewer than 3 accidents will occur? (c) at least 2 accidents will occur?
a)The probability of exactly 5 accidents will occur is 0.1008.
b) The probability of fewer than 3 accidents will occur is 0.42318.
Define probability.It is predicated on the likelihood that something will occur. The justification for probability serves as the basic foundation for theoretical probability. For instance, the theoretical chance of receiving a head while tossing a coin is 12. Mathematics' study of random events is known as probability, and there are four primary types of probability: axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you could say that it is the likelihood that a specific event will occur.
Given,
Mean = 3
a) By using Poission probability formula,
P( X = 5) = e⁺³ (3)⁵/5!
P(X = 5) = 0.1008
The probability of exactly 5 accidents will occur is 0.1008.
b) fewer than 3 accidents will occur:
P( X <3) = e⁻³ (3)⁰ + e⁻³ (3)¹ + e⁻³(3)²
P( X< 3) = 0.4978 + 0.14936 + 0.22404
P( X < 3) = 0.42318
The probability of fewer than 3 accidents will occur is 0.42318.
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Can you help me with this please. It was question on my test but it didn't make any sense since i got a repeating decimal.
3.5g-2.7g=-6
The solution of the linear equation 3.5g - 2.7g = -6 will be negative 7.5.
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.
If the maximum power of the equation is one. Then the equation will be a linear equation.
The linear equation is given below.
3.5g - 2.7g = -6
Simplify the equation, then we have
3.5g - 2.7g = -6
0.8g = -6
g = - 6 / 0.8
g = - 7.5
The solution of the linear equation 3.5g - 2.7g = -6 will be negative 7.5.
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A swimming pool shaped like a rectangular prism measures 12 feet deep, 26 feet long, and 14 feet wide. determine the volume, v = lwh, of the pool in cubic meters. round the answer to the nearest cubic meter. (1 foot = 0.305 meter) 4,368 cubic meters 1,332 cubic meters 406 cubic meters 124 cubic meters
A swimming pool shaped like a rectangular prism has a volume of 124 cubic meters.
Rectangular prism is a three-dimensional shape that has 6 rectangle faces, 12 edges and 8 vertices.
Volume is defined as the amount of space that a three-dimensional shape occupies.
The volume of a rectangular prism can be calculated using the formula below.
V = l x w x h
where V = volume
l = length
w = width
h = height or depth
Plug in the values to the formula, multiply by the conversion factor, and solve for the volume.
V = l x w x h
V = (26 feet)(14 feet)(12 feet)(0.305 meter/foot)³
V = 124 cubic meters
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write down the ratio 240kg:6kg give your answer in its lowest form
Answer:
40kg:1kg
Step-by-step explanation:
240kg:6kg
Both sides can be divided by 6 so we that to simplify
40kg:1kg
Hopes this helps please mark brainliest
240 : 6
answer = 1 : 4 the simplest form of 240 : 6
please help me out. it’s more as well but here
Answer:
[tex]\sf \dfrac{-1}{2}[/tex]
Step-by-step explanation:
Find the slope:
(-9 , -5) ⇒ x₁ = -9 ; y₁ = -5
(-1 , -9) ⇒ x₂ = -1 ; y₂ = -9
[tex]\sf \boxed{Slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\sf = \dfrac{-9-[-5]}{-1-[-9]}\\\\\\=\dfrac{-9+5}{-1+9}\\\\\\=\dfrac{-4}{8}\\\\\\=\dfrac{-1}{2}[/tex]
Answer:
Slope = -1/2
Step-by-step explanation:
Formula we use,
→ (y2 - y1)/(x2 - x1)
Now the value of slope is,
→ (-9 -(-5))/(-1 -(-9))
→ (-9 + 5)/(-1 + 9)
→ -4/8 = -1/2
Hence, the slope is -1/2.
A recipe calls for 6 ounces of raisins. How many milligrams of raisins is this? (1 ounce = 28.35 grams and 1 gram = 1,000 milligrams) 170.1 milligrams 1,701 milligrams 17,010 milligrams 170,100 milligrams
The measurement of a quantity requires units to be defined. The 6 ounce of raisins is equal to 171100 milligrams of it.
What is Measurement unit ?A measurement unit is unit to measure different quantities such as mass, length and time.
The measurement unit of one quantity can be converted into the other by multiplying it with a certain number.
Given that,
The amount of raisins is 6 ounces.
Since One ounce is equal to 23.85 grams,
6 ounce converted in grams equals 6 × 28.35 = 171. 10 grams
Now, 1 gram = 1000 milligrams.
Therefore, 171. 10 grams = 171.10 × 1000 milligrams
= 171100 milligrams.
Hence, 6 ounces of raisins is equivalent to 171100 milligrams.
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Answer:
A recipe calls for 170,100 milligrams of raisins.
Step-by-step explanation:
I took the exam and got it right
1. Simplify the expression: 13 [6²÷(52-42) +9]
A dolphin was swimming at 20 feet below sea level. Then it dove to 45 feet below its original position. Write an expression that represents the change in depth of the dolphin's dive.
The expression that represents the change in depth is |-45 + 20|
How to determine the change in depth expression?From the question, the endpoints are given as
Initial point = 20 feet below the sea level
Final point = 45 feet below the sea level
Rewrite the endpoints properly
This is done as follows
Initial point = -20
Final point = -45
The distance expression between the endpoints is then calculated as
Distance = |Final point - Initial point|
Substitute the known values in the above equation
So, we have the following equation
Distance = |-45 + 20|
Hence, the distance expression is |-45 + 20|
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Please help me with this question
Find the other endpoint with the given endpoint (-5, 1) and midpoint (3, -4)
The other end point with the given endpoint (-5, 1) and midpoint (3, -4) is (11, -9)
What is mid point?A midpoint is a point lying between two points and is in the middle of the line joining the two points.
The mid point formula is represented as follows;
(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)
Let's find the other end point with the given endpoint (-5, 1) and midpoint (3, -4).
Hence,
(3, -4) = (-5 + x₂ / 2, 1 + y₂ / 2)
Therefore,
3 = -5 + x₂ / 2
cross multiply
6 = -5 + x₂
x₂ = 6 + 5
x₂ = 11
-4 = 1 + y₂ / 2
cross multiply
-8 = 1 + y₂
y₂ = -8 - 1
y₂ = - 9
Therefore, the endpoint is (11, -9)
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Refer to the figure below. M
The measure of the angle ∠C is 17°.
The angle having a measure equal to 32° and the angle ∠B form a linear pair. They are supplementary angles. When two lines cross, they generate a pair of neighbouring angles called a linear pair. A linear pair's two angles are always supplementary, which means their measurements add up to 180 degrees. The sum must be equal to 180°.
32° + ∠B = 180°
∠B = 180° - 32° = 148°
Now, we will use the angle sum property of a triangle. The sum of all the angles in a triangle is equal to 180°.
∠B + ∠C + 15° = 180°
148° + ∠C + 15° = 180°
∠C + 163° = 180°
∠C = 180° - 163° = 17°
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Please help me!!! I’m really trying…
I’ll brainlist if y’all answer these…
A rectangle has an area of 405 cm square and width of 15 cm. The length of the rectangle is:
A) 27 cm
B) 20 cm
C) 390 cm
D) 6075 cm
The x- and y- intercepts of the graph of the line 5x - 3y - 15 = 0 are, respectively
A) 3 and -5
B) -3 and 5
C) 5 and -3
D) -5 and 3
The expression that simplifies to 11x + 2y is:
A) 4x + 3y + 7x - y
B) 13xy- 2y+ 2 + y
C) 9 x square + y + y + 2x
D) 5 + 6x + 2y
Answers: A, A, A
1)A rectangle has an area of 405 cm square and width of 15 cm. The length of the rectangle is: 27 cm
15cmx 27cm= 405 cm
2)The x- and y- intercepts of the graph of the line 5x - 3y - 15 = 0 are, respectively: 3 and 5
(I don't really know how to explain this.......)
3)The expression that simplifies to 11x + 2y is: 4x+3y+7x-y
4x+7x=11x
3y-y = 2y
Therefore, it will equal to 11x+2y.
I really hope this helps!
Please Mark Me Brainliest!!!
(I'm in 5th Grade Honors but I learn MS)
Answer:
All the answer are A
Step-by-step explanation:
Area = length times width
405 = x15 Divide both sides by 15
27 = x
For the x intercept Let y = o and solve for x
5x - 3y -15 = 0
5x - 3(0) -15 = 0
5x -15 = 0 Add 15 to both sides of the equation
5x = 15 Divide both sides by 5
x = 3
The x intercept is (3,0)
For the y intercept Let x = 0 and sole for y
5x -3y -15 = 0
-3y -15 = 0 Add 15 to both sides of the equation
-3y = 15 Divide both sides by -3
y = -5
The y intercept is (0,-5)
4x + 3y + 7x - y Combine the like terms
(4x + 7x) = (3y -y)
11x + 2y
The toy store created a display of s shelves of remote control cars. Each shelf contains 16 cars. Write an expression that shows how many cars are on the display.
The expression that shows number of remote control cars on the display self is 16s.
Mathematical expressions are formed using at least two numbers, variables, and there must be one arithmetic operation, and a statement. If there are x items are given in one self and there are n number of self and we have to find total number of items in all self, then we have to multiply x by n.
Here, there are 16 remote control cars on a display self. The number of display shelves is s.
So, the total number of cars will be 16 times of s.
Number of cars on display = 16s
Therefore, the expression that shows the number of cars on display is 16s.
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Answer:
It is 16s
Step-by-step explanation:
Determine the total number of roots of each polynomial function. f (x) = 3x6 2x5 x4 - 2x3 6 g(x) = 5x - 12x2 3
The total number of roots for the given polynomial is for f(x)= 3x^6+2x^5+x^4-2x^3+6 is 6 and for g(x) = 5x-12x^2+3 is 2
Since for finding the number of roots, we just need to see what is the degree fro the given polynomial, where the degree of the polynomial is nothing but the highest exponent.For the function f (x) = 3x6 2x5 x4 - 2x3, here the degree is 6, and the respective function is having 6 numbers of roots, which be real roots and complex roots too.For the function g(x) = 5x-12x^2+3, here the degree is 2, so the respective function has 2 roots.
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Answer:
f (x) = 3x6 + 2x5 + x4 - 2x3 = 6 roots g(x) = 5x - 12x2 + 3 = 2 roots f (x) = (3x4 + 1)2 = 8 roots g(x) = (x - 5)2 + 2x3 = 3 roots
the human resources department at a major high-tech company recently conducted an employee satisfaction survey of 100 of its 3000 employees. data were collected on such variables as age, gender, marital status, current salary, level of overall satisfaction on a scale from 1 to 5, number of years with the company, and job title. which of the variables listed are considered to be ratio level data?
Gender and marital status and Job title.
What are edtech companies?Computer hardware, software, educational theory, and practice are all used in conjunction with educational technology, also known as edutech or edtech, to facilitate learning. The sector of businesses that produce educational technology is frequently referred to by its abbreviation, edtech.EdTech companies can approach the consumers, this can be done via the schools that are convinced to use a product for free. Then, if the families want to continue to use the offering they can be charged for its usage at home. Here, schools act as lead generators for consumer adoption.They design contemporary learning spaces that enable digital immersion.They provide individualized instruction that is catered to the learning style and circumstances of each student.They offer access to a variety of information and educational opportunities without regard to location.learn more about edtech companies click here:
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What is the least angle measure by which this figure can be
rotated so
that it maps onto itself?
45°
90°
180°
360°
90° is the least angle measure by which this figure can be rotated so that it maps onto itself.
The correct option is (B)
From the figure,
As the figure has two axis of symmetry, placing x and y axis such that the origin lies on its centroid.
Angle between x axis and y axis is 90°.
So rotating any degree which is a multiple of 90 i.e., 90°, 180°, 270°, 360°...… would yield the original figure.
Therefore, 90° is the least angle measure by which this figure can be rotated so that it maps onto itself.
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In one book, there are 15 lines per page. In another book, there are 90 lines in every 6 pages. Determine whether the ratios of lines to pages are proportional in both books.
The ratios of lines to pages are proportional in both books.
How to calculate the value?From the information, in In one book, there are 15 lines per page.
In another book, there are 90 lines in every 6 pages. Therefore, the number of lines per page will be:
= Number of line / Number of page
= 90 / 6
= 15 lines per page
Therefore since they're the same for both books as we got 15 lines, they're proportional.
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help meeeeeeeeeeeeeeeeee please
Answer:
x + x + 2 = x + 3
2x + 2 = x + 3
x = 1
x + 2 = 3
x + 3 = 4
What is the expected number of female children in a family with three children?
O 1
O 1.5
O 2
O 2.5
Using the probability, the expected number of female children in a family with three children is 1.5. The option 2 is correct.
In the given question, we have to find the expected number of female children in a family with three children.
The possibility of having girls in family is 0,1,2 or 3.
From the 8 possible sequences, only one of them give the possibility of 0 girls.
So the probability of 0 girls is 1/8.
There are total 3 ways of having 1 girl.
That is: GBB, BGB, and BBG.
Thus, the probability of 1 girl is 3/8.
Similarly checking for having 2 girls with probability 3/8
Having 3 girls with probability 1/8.
The predicted number of girls is calculated as a weighted average of all potential numbers, where a number's weight is determined by its likelihood of occurring.
The anticipated number of girls is therefore
= 1/8⋅0+3/8⋅1+3/8⋅2+1/8⋅3
= 0+3/8+6/8+3/8
=(3+6+3)/8
=12/8
=1.5
Hence, the expected number of female children in a family with three children is 1.5.
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a game is played with tokens according to the following rule. in each round, the player with the most tokens gives one token to each of the other players and also places one token in the discard pile. the game ends when some player runs out of tokens. players aa, bb, and cc start with 15, 14, and 13 tokens, respectively. how many rounds will there be in the game?
As there are three players, the game will be played in cycles of 3 rounds. After each cycle is completed, the round after will be the round where every single player has 1 token less than they did at the beginning of the previous cycle.
After the first round of the game, player one will have 12 tokens, player two will have 15 and player three will have 14 left. Looking at this sequence, it is evident that player one will finish first.
Go a few rounds to establish the pattern:
Beginning chips: A B C
15 14 13
1st round:
12 15 14
2nd round: 13 12 15
3rd round: 14 13 12
So after 3 rounds and successive 3 rounds each player has one less than he started with at the beginning of the 3 round series.
So after 36 rounds each will be down 12 from the beginning:
A B C
3 2 1
On the 37 round A will give up his 3 to end at 0
37
For more clear understanding:
As player has one token less at the beginning of a new cycle than he/she had at the beginning of the previous cycle we go (12∗3)+1=37(12∗3)+1=37 to see how many turns it will take them to reach zero.
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