Consider a student’s work in determining the solution set of x > 2(y – 1)^2 – 2.
Test point: (2.25, 1.25)
x > 2(y – 1)^2 – 2
2.25 > 2(1.25 – 1)^2 – 2
2.25 > 2(0.25)^2 – 2
2.25 > 2(0.0625) – 2
2.25 > 0.125 – 2
2.25 > –1.875
Conclusion: The point (2.25, 1.25) satisfies the given inequality.
Solution set:
Which element, if any, shows an error in the student’s work?
There are no errors.
The conclusion statement is incorrect.
The graph of the solution set is incorrect.
The substitution of x and y values is incorrect.
Answers
Answer:
C. The graph of the solution set is incorrect.Step-by-step explanation:
Solution is right, properly substituted x- and y-values, no mistakes. Conclusion is right, the point within the solution set. The only mistake is the graph, with > sign the line of the graph is not included into solution, therefore should be dotted.There are no errors.
Incorrect (the graph)The conclusion statement is incorrect.
IncorrectThe graph of the solution set is incorrect.
Correct (the line should be dotted)The substitution of x and y values is incorrect.
Incorrect
Answer:
Its C
Step-by-step explanation:
Related Questions
1. Christina drew a scale model of an Olympic-size swimming pool using a
scale in which 3 centimeters represents 10 meters. If the length of the
pool in her drawing is 15 centimeters, what is the length of the actual
pool?
4,5 m
D 150 m
Answers
Answer: 4,5
Step-by-step explanation:
The actual length of the Olympic-size swimming pool which is drawn by Christina on the scale model is 50 meters.
What is scale factor?
Scale factor is the factor which is used to enlarge or smaller the original figure.
Scale factor is the ratio of representation measurement of the figure to the original figures.
Christina drew a scale model of an Olympic-size swimming pool using a scale in which 3 centimeters represents 10 meters.
Thus, the scale factor is for cm to m,
[tex]r=\dfrac{3}{10}\rm[/tex]
The length of the pool in her drawing is 15 centimeters. Let the length of the actual pool is x cm. Thus,
[tex]\dfrac{15}{x}=\dfrac{3}{10}\\x=50\rm \; m[/tex]
Thus, the actual length of the Olympic-size swimming pool which is drawn by Christina on the scale model is 50 meters.
Learn more about the scale factor here;
https://brainly.com/question/10253650
Write the equation of the line that passes through the points (3, -2)
and (5, -9). Put your answer in fully reduced point-slope form,
unless it is a vertical or horizontal line.
Answers
Using Cramer’s Rule, what is the value of x in the solution to the system of linear equations below?
x+3y=16
3x+y=8
Answers
9514 1404 393
Answer:
x = 1
Step-by-step explanation:
The attached shows the matrices and the determinants. The value of x is ...
x = ∆₁/∆ = -8/-8 = 1
The value of x in the solution to this system of equations is 1.
Answer:
A: 16 3 8 1 / -8 = 1
Step-by-step explanation:
got 100% on "Cramer's rule" edge 2022 quiz
I need this ASAP, please
A. The table represents a function because each element in the range is associated with exactly one element in the domain.
B. The table does not represent a function because each element in the domain is associated with exactly one element in the range.
C. The table represents a function because each input has exactly one output.
D. The table does not represent a function because each output does not have exactly one input.
Answers
Emily took 300 US dollars to the bank to exchange it for Canadian dollars. The exchange rate on that day was 1.25 Canadian dollars per one US dollar. How many Ganadian dollars did she receive for 300 US dollars?
Answers
Emily wanted to exchange her 300 US Dollars for Canadian Dollars.
The exchange rate for it was 1.25 Canadian Dollars for 1 US Dollar.
This means that 1 US Dollar = 1.25 Canadian Dollars.
So if we were to follow this pattern,
2 US Dollars = 2 × 1.25 = 2.5 Canadian Dollars
3 US Dollars = 3 × 1.25 = 3.75 Canadian Dollars
4 US Dollars = 4 × 1.25 = 5 Canadian Dollars
So for 300 US Dollars, we'll need to multiply 300 by 1.25.
300 US Dollars = 300 × 1.25 = 375 Canadian Dollars.
Hope it helps. :)
Savannah's cat weighs 9 pounds. Savannah's dog weighs 4 3/4 times as much as her cat. How much does Savannah's dog weigh?
Answers
Answer:
42.75 pounds
i think :))
Step-by-step explanation:
please tell me the answer to this
Answers
Answer:
Wow you got s lot of questions wrong
Step-by-step explanation:
Predict whether the product is greater than, less than, or equal to
2/3
. Then find the product.
2/3 × 1 3/5
Answers
Charles and Jaden share a reward of $63 in a ratio of 2:5. How much does Jaden
get?
Answers
Answer:
9
Step-by-step explanation:
2:5=7
therefore Jaden got 63÷7
=9
The process of producing pain-reliever tablets yields tablets with varying amounts of the active ingredient. It is claimed that the average amount of active ingredient per tablet is at least 200 milligrams. The Consumer Watchdog Bureau tests a random sample of 70 tablets. The mean content of the active ingredient for this sample is 194.3 milligrams, while the standard deviation is 21 milligrams. What is the approximate p-value for the appropriate test
Answers
Answer:
p = 0.0116
Step-by-step explanation:
We are given;
Population mean; μ = 200 mg
Sample mean; x¯ = 194.3 mg
Standard deviation; σ = 21 mg
Sample size; n = 70
Formula for z-score is;
z = (x¯ - μ)/(σ/(√n))
z = (194.3 - 200)/(21/√70)
z = -5.7/2.51
z = -2.27
From the z-score table attached, the p-value at z = -2.27 is p = 0.0116
Victor bought a Nintendo Game Boy that cost $68. He received $32 in change.
Write and solve an equation to find the amount of money Victor used to buy the Game Boy.
Answers
draw a number line and make ticks that are 1cm apart from-6 to7
Answers
Parallel lines and tranvsveral
Answers
Answer:
66°
Step-by-step explanation:
simply subtract 114 from 180
you'll come out with the answer of 66°.
Common factors of 27 and 54
Answers
Answer:
4
Step-by-step explanation:
4
Answer:
Step-by-step explanation:
Factors for 27: 1, 3, 9, and 27 Factors for 54: 1, 2, 3, 6, 9, 18, 27, and 54so common factors are 1, 3,9 and 27
Each cube inside the rectangular prism has an edge length of (3)/(4) inch. What is the volume of the rectangular
Answers
In a survey, 400 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 3.
Number 1 2 3 4 5
Frequency 32 96 128 112 32
Answers
Answer:
The value of the experimental probability is greater
Step-by-step explanation:
For the theoretical probability;
the probability that a card with the number 3 is selected is 1/5
We consider that the probabilities of each selection are equal, for the theoretical probability
For the experimental, we simply place the frequency of the selection 3 over the total
that will be 128/400 = 8/25
As we know that 8/25 is greater than 1/5
We can conclude that the value of the experimental probability is greater than that of the theoretical
Answer:
I hate math
Step-by-step explanation:
I need help Please thank u
A plate is considered a major plate if it covers an area of more than _____________ Kilometers
A - 40,000,000km2
B - 2,000km2
C - 200,000,000km2
D - 20,000,000km2
Answers
Answer: I think it could be A but I could be wrong♀️
Holaa, ¿cómo están?, ¿podrían ayudarme?,es urgente. Necesito saber 3 propiedades de la radicación,si alguien por favor las sabe o al menos sabe 1 o 2 por favor díganme, gracias!
Answers
Answer:
(i) La raíz enésima de un producto de dos números es igual al producto de las raíces enésimas de cada número del producto:
[tex]\sqrt[n]{a\cdot b} = \sqrt[n] {a}\cdot \sqrt [n] {b}[/tex], [tex]a,b\in \mathbb{R}[/tex], [tex]n\in \mathbb{N}[/tex]
(ii) La raíz enésima de una división entre dos números es igual a la división de la raíz enésima del numerador y la raíz enésima del denominador:
[tex]\sqrt [n]{\frac{a}{b} } =\frac{\sqrt[n]{a}}{\sqrt [n] {b}}[/tex], [tex]a,b\in \mathbb{R}[/tex], [tex]n\in \mathbb{N}[/tex]
(iii) La raíz emésima de la raíz enésima de un número es igual a la raíz eme-enésima del número:
[tex]\sqrt[m]{\sqrt[n]{a} } = \sqrt[m\cdot n]{a}[/tex], [tex]a\in \mathbb{R}[/tex], [tex]m,n\in \mathbb{N}[/tex]
Step-by-step explanation:
Existen tres propiedades fundamentales de la radicación, las cuales se enumeran a continuación:
(i) La raíz enésima de un producto de dos números es igual al producto de las raíces enésimas de cada número del producto:
[tex]\sqrt[n]{a\cdot b} = \sqrt[n] {a}\cdot \sqrt [n] {b}[/tex], [tex]a,b\in \mathbb{R}[/tex], [tex]n\in \mathbb{N}[/tex]
(ii) La raíz enésima de una división entre dos números es igual a la división de la raíz enésima del numerador y la raíz enésima del denominador:
[tex]\sqrt [n]{\frac{a}{b} } =\frac{\sqrt[n]{a}}{\sqrt [n] {b}}[/tex], [tex]a,b\in \mathbb{R}[/tex], [tex]n\in \mathbb{N}[/tex]
(iii) La raíz emésima de la raíz enésima de un número es igual a la raíz eme-enésima del número:
[tex]\sqrt[m]{\sqrt[n]{a} } = \sqrt[m\cdot n]{a}[/tex], [tex]a\in \mathbb{R}[/tex], [tex]m,n\in \mathbb{N}[/tex]
an elevator is currently 16.9 feet off the ground. If it ascends 32.35 feet, then descends 7.8 feet, how far off the ground is the elevator?
Answers
Answer:
40.64 feet
Step-by-step explanation:
hi please help i’ll give brainliest please
Answers
Answer:
4
Step-by-step explanation:
15y = 60
60 / 15 = 4
Answer:
Y=4
Step-by-step explanation:
60/15=4
therefore y=4
Meghan is 45 inches tall. Which measurement describes Meghan's height?
Answers
Answer:
3 feet and 9 inches
Step-by-step explanation:
answer is already there
Answer:
45 inches = 3.75 foot
45 inches = 1.143
Step-by-step explanation:
An inch measurement It is equal to 1⁄36 yard or 1⁄12 of a foot
Metric (SI) units: 25.4 mm
“Deme cambio de un dolar, por favor” dijo el cliente llamado Bob.
– “Lo siento” dijo la señorita Jones, la cajera, después de buscar cuidadosamente en la caja, “pero no puedo hacerlo con las monedas que tengo”.
– “¿Puede entonces cambiarme medio dolar?”. La señorita Jones negó con la cabeza. En realidad, dijo, “¡ni siquiera tengo para cambiar ni veinticinco, ni diez, ni cinco centavos!”
– “¿No tiene ninguna moneda?” preguntó Bob.
– “Oh, sí” dijo la señorita Jones, “tengo $1.15 en monedas”.
¿Cuáles eran exactamente las monedas que había en la caja registradora? Razona la respuesta.
Answers
Answer:
Give me change for a dollar, please" said the customer named Bob. - "I'm sorry," said Miss Jones, the cashier, after carefully searching the box, "but I can't do it with the coins I have." - "Can you then change half a dollar?" Miss Jones shook her head. Actually, he said, "I don't even have a quarter, a dime, or a nickel to change!" - "You don't have any coins?" asked Bob. - "Oh yes" said Miss Jones, "I have $ 1.15 in coins." What exactly were the coins in the cash register? Reason for the answer.
Step-by-step explanation:
Answer:
medio dólar, cuarto de cuatro dimes || half dollar, quarter four dimes
im literally about to smash this computer pelase somebody HELPEEPPEPEPEPP
Answers
Answer:
33920 or 530 im not 100% sure
i think sorry if im wrong
Step-by-step explanation:
Find the area. Simplify your answer.
x+1
2x
Answers
Answer:
[tex]A = x^{2} + x[/tex]
Step-by-step explanation:
Area of a triangle = bh/2
Your base is 2x and the height is x + 1
So, A = (2x)(x + 1)/2
A = [tex]x^{2} + x[/tex]
117
X
x + 3
Find the value of x.
A. 4
В. 5
C. 6
D. 9
Answers
Answers:
1. D po
Step-by-step explanation:
i hope its hepl
You spent $145 purchasing 3 student tickets and 7 adult tickets. Adult tickets cost $5 more than a student ticket. Find the cost of a student ticket. Find the cost of an adult ticket.
Answers
Answer:
$11 and $16
Step-by-step explanation:
let x be the cost of a student ticket then an adult ticket is x + 5 , then
3x + 7(x + 5) = 145 , that is
3x + 7x + 35 = 145
10x + 35 = 145 ( subtract 35 from both sides )
10x = 110 ( divide both sides by 10 )
x = 11
Student ticket costs $11 and adult ticket = x + 5 = 11 + 5 = $16
Brody's family took a road trip to Niagara Falls. Brody slept through the last 6% of the trip. If the total length of the trip was 300 miles, how many miles had they travelled when Brody fell asleep?
Answers
Answer:
18 miles
Step-by-step explanation:
6% of 300 miles is 18 miles
Which expression shows the result of applying the distributive property to −2(1/3x−1/5)?
2/3x−2/5
2/3x+2/5
−2/3x−2/5
−2/3x+2/5
Answers
Answer:
Its C
Step-by-step explanation:
:D
In the figure below, m∠1 = x and m∠2 = x - 8. Which statement could be used to prove that x = 49?
Answers
Answer:
see explanation
Step-by-step explanation:
∠ 1 + ∠ 2 = 90, that is
x + x - 8 = 90
2x - 8 = 90 ( add 8 to both sides )
2x = 98 ( divide both sides by 2 )
x = 49
Whats 9*20(10+20) First Answer Gets Brainliest
Answers
Answer:
Your answer would be 5400.
Step-by-step explanation:
You have to follow PEMDAS for this one. You will start within the parenthesis and add 10 and 20 together to get 30. You would then times that by 20 and get 600. Finally, you would mulitply that by 9 and get 5400 as your answer..