Which of the points below does not lie on the curve y=x^2

Answers

Answer 1

Options:

[tex]A.\ (\frac{3}{2}, \frac{9}{2})[/tex]

[tex]B.\ (-1, 1)[/tex]

[tex]C.\ (4, 16)[/tex]

[tex]D.\ (\frac{1}{2}, \frac{1}{4})[/tex]

Answer:

[tex]A.\ (\frac{3}{2}, \frac{9}{2})[/tex]

Step-by-step explanation:

Given

[tex]y = x^2[/tex]

Required

Determine which of the given points is not true

[tex]A.\ (\frac{3}{2}, \frac{9}{2})[/tex]

Here

[tex]x = \frac{3}{2}[/tex] and [tex]y = \frac{9}{2}[/tex]

Substitute these values in [tex]y = x^2[/tex]

[tex]\frac{9}{2} = (\frac{3}{2})^2[/tex]

[tex]\frac{9}{2} = \frac{3}{2}*\frac{3}{2}[/tex]

[tex]\frac{9}{2} \ne \frac{9}{4}[/tex]

Both sides of the equation are not equal. Hence, this point do not line on the curve

[tex]B.\ (-1, 1)[/tex]

Here

[tex]x = -1[/tex]  and [tex]y = 1[/tex]

Substitute these values in [tex]y = x^2[/tex]

[tex]1 = (-1)^2[/tex]

[tex]1=1[/tex]

Both sides of the equation are equal. Hence, this point line on the curve

[tex]C.\ (4, 16)[/tex]

Here

[tex]x = 4[/tex]  and [tex]y = 16[/tex]

Substitute these values in [tex]y = x^2[/tex]

[tex]16 = 4^2[/tex]

[tex]16 = 16[/tex]

Both sides of the equation are equal. Hence, this point line on the curve

[tex]D.\ (\frac{1}{2}, \frac{1}{4})[/tex]

Here

[tex]x = \frac{1}{2}[/tex]  and [tex]y = \frac{1}{4}[/tex]

Substitute these values in [tex]y = x^2[/tex]

[tex]\frac{1}{4} = (\frac{1}{2})^2[/tex]

[tex]\frac{1}{4} = \frac{1}{2}*\frac{1}{2}[/tex]

[tex]\frac{1}{4} = \frac{1}{4}[/tex]

Both sides of the equation are equal. Hence, this point line on the curve

From the calculations above; only [tex]A.\ (\frac{3}{2}, \frac{9}{2})[/tex] do no lie on the curve


Related Questions

he heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x – 72.5| = 4. What are the minimum and maximum temperatures in the house? 72.5°F and 76.5°F 68.5°F and 76.5°F 70.5°F and 74.5°F 72.5°F and 74.5°F

Answers

Answer:

B. 68.5 & 76.5

Step-by-step explanation:

In order to solve this equation you first need to change your equasion to fit 2 scenarios. So, your 2 equations are x-72.5=4 and x-72.5=-4. From there, you need to solve by adding 72.5 to each equation giving you x=76.5 and x=68.5. 68.5 degrees F is your minimum temperature and 76.5 degrees F is your maximum temperature. I have included a screenshot of my handwritten work included below for those who are visual learners.

If probability is greater than the level of significance then,

we should accept or reject null hypothesis?

Answers

Answer:

One of the most basic concepts in statistics is hypothesis testing. Not just in Data Science, Hypothesis testing is important in every field. Want to know how??? Let us take an example. You must have heard about lifebuoy?? Suppose

lifebuoy claims that, it kills 99.9% of germs. So how can they say so? There has to be a testing technique to prove this claim right?? So hypothesis testing uses to prove a claim or any assumptions.

Hopefully, this helps! :D

Find value of x. I will report if u put gibberish

Answers

Answer:

d:15

Step-by-step explanation:

since the angles are equal to each other, then the sides must be equal to each other too

so...

3x+5=4X-10

15=x

The equation below describes a linear function. y=−2(x+1)+4 The range of the function is {−4,−2,4} . What is the domain of the function

Answers

9514 1404 393

Answer:

  {-1, 2, 3}

Step-by-step explanation:

We need to find the values of x that correspond to these y-values.

  {-4, -2, 4} = -2(x +1) +4 . . . substitute the range values for y

  {2, 1, -2} = x +1 -2 . . . . . . .divide by -2

  {2, 1, -2} = x -1 . . . . . . . . . simplify

  {3, 2, -1} = x . . . . . . . . . . . add 1

The domain of the function is {-1, 2, 3}.

solve the system of equations X-Y = -12 and -8x-4y=-12 by combining the equations

Answers

Answer:

x = -3

y = 9

Step-by-step explanation:

you can add the equations after multiplying the first one by 8

8x - 8y = -96  added to -8x - 4y = -96

'x' eliminated;  -12y = -108;  y = 9

Solve for 'x':

x - 9 = -12

x = -12 + 9

x = -3

Mark has $18.00. What is the greatest number of days he can rent a bicycle? 2d=18 where d represents the number of days of the rental

Answers

Answer:

9

Step-by-step explanation:

9x2 is 18, so he can rent a bike for nine days if the rent is $2

During the basketball season, Cory made 21 of the 60 baskets she attempted. Krista made 16 out of 40 baskets she attempted. Paul made 17 of the 50 baskets she attempted and Sally 11 of the 55 she attempted. Who had the greatest percentages of baskets made?

Answers

Given:

Cory made 21 of the 60 baskets she attempted.

Krista made 16 out of 40 baskets she attempted.

Paul made 17 of the 50 baskets she attempted.

Sally 11 of the 55 she attempted.

To find:

Who had the greatest percentages of baskets made?

Solution:

We know that,

[tex]\text{Percentage of baskets made}=\dfrac{\text{Baskets made}}{\text{Total attempts}}\times 100[/tex]

Using this formula, we get

[tex]\text{Cory's percentage of baskets made}=\dfrac{21}{60}\times 100=35\%[/tex]

[tex]\text{Krista's percentage of baskets made}=\dfrac{16}{40}\times 100=40\%[/tex]

[tex]\text{Paul's percentage of baskets made}=\dfrac{17}{50}\times 100=34\%[/tex]

[tex]\text{Sally's percentage of baskets made}=\dfrac{11}{55}\times 100=20\%[/tex]

From the above percentages 40% is maximum.

Therefore, Krista has greatest percentage of baskets made.

For t=2 , 14t−3t is equal to ____? and 3t−14t is equal to ____?

Answers

Answer:

14t-3t=22

3t-14t= -22where there is t multiply by 2

What are two ways to start solving this equation? Choose BOTH ways.

Answers

Answer:

Step-by-step explanation:

use the distributive propriety to get 4c -12 = 8

divide both sides by 4 to get c-3 =2

Given the following equation, determine the solutions when y=0 for the function: y=(x+4)(x-3)

Answers

Answer:

x=-4 and x=3

Step-by-step explanation:

If y=0, then we use the Zero Product Property:

0=(x+4)(x-3)

x+4=0

x=-4

x-3=0

x=3

Please help!! this is due today!!

Answers

answer: y=17
Explanation:

Notice that every time x decreases by 2, y increases by 8, and every time x decreases by 1, y increases by 4. That mean when x = 0, y = 5+4+4+4=17

8-7-6-5-4-3-2-1-0-1-2-3

Answers

Answer:

-4-5-6-7-8

Step-by-step explanation:

Answer:

The answer is -26

Is the relationship for Camille’s puppies weight in terms of linear or nonlinear

Answers

The answer is linear

Which of the equations below could be the equation of this parabola? Vertex (0,0) A v=-4 B. Y = 42 C. X=-4x D. x = 4y2​

Answers

Answer: y= -4x^2

Step-by-step explanation:

The equation of the parabolic function is y = -4x² and the graph is plotted

What is a Parabola?

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the parabolic equation be represented as f ( x )

Now , the value of f ( x ) = y

where y = -4x²

The equation y = -4x² represents a parabola that opens downwards (since the coefficient of x² is negative).

The vertex of this parabola is at the origin (0,0), since the coefficient of x is zero. The axis of symmetry is the y-axis, since the parabola is symmetric about this line.

Hence , the equation is y = -4x²

To learn more about parabola click :

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Please help! Will give brainliest!!!
How do you write intervals of increase and decrease?

Answers

Answer:

add one per interval

Step-by-step explanation:

an example would be:

+1

+2

+3

or:

+4

+8

+12

Answer:

As part of exploring how functions change, we can identify intervals over which the function is changing in specific ways. We say that a function is increasing on an interval if the function values increase as the input values increase within that interval. Similarly, a function is decreasing on an interval if the function values decrease as the input values increase over that interval. The average rate of change of an increasing function is positive, and the average rate of change of a decreasing function is negative.

The image below shows examples of increasing and decreasing intervals on a function.

Alaina surveyed students on her bus about their homework.The results are shown in this two-way table. Student Homework Last Night Responses Had Homework 8 Did Not Have Homework 4 Alaina used this data to design a spinner with 6 congruent sections that predicts whether a randomly selected student had homework last night. How many sections of Alaina’s spinner represent students who did not have homework? 2 4 6 8

Answers

Answer:

2

Step-by-step explanation:

Answer: 2

I got it right on ed

PLEASE RIGHT ANSWERS ONLY!!

I have a 94.66% in biology class, I am taking an exam that is worth 20% of my grade, there are 22 questions on the exam (each worth 4 points), what is the most amount of questions I can miss to still maintain an A in my class?

Answers

Answer

8

Step-by-step explanation:

algebra ll

What is the definition of "constant of proportionality"? Define or show an expression to prove your answer​

Answers

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

(G o o g l e)

Step-by-step explanation:

I hope this helps!

HELP MEEEEE EASY DUE IN A MINSS
What is the prime factorization of 990?

Answers

Answer:

11 is one of the factors! The orange divisor(s) above are the prime factors of the number 990. If we put all of it together we have the factors 2 x 3 x 3 x 5 x 11 = 990.

Step-by-step explanation:

Answer:

2x2x3x5=11

Step-by-step explanation:

2 Joey runs 4 – miles in of an hour and Chandler runs 2 miles miles in of an hour. Who runs faster

Answers

Answer: Joey is faster

Step-by-step explanation: Because in 1 hour Joey is run 4 mile but in 1 hour Chandler is run 2 mile

Answer: Joey is faster

Step-by-step explanation: Because in 1 hour Joey is run 4 mile but in 1 hour Chandler is run 2 mile

how many cups each holding 250ml can be filled from a 2 litre bottle of juice

Answers

250.000ml of juice:)

Answer:

25 glasses

Step-by-step explanation:

The overhead reach distances of adult females are normally distributed with a mean of 205.5 and a standard deviation of 8.6 . a. Find the probability that an individual distance is greater than 218.00 cm. b. Find the probability that the mean for 15 randomly selected distances is greater than 204.00 c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

Answers

Answer:

a) 0.073044

b) 0.75033

c) The normal distribution can be used in part (b), even though the sample size does not exceed 30 because initial population size is been distributed normally , therefore, the mean of the samples will be normally distributed regardless of their size(meaning whether the sample size is less than or equal to or exceeds 30, the sample means the mean of the samples will be normally distributed regardless of their size).

Step-by-step explanation:

The overhead reach distances of adult females are normally distributed with a mean of 205.5 and a standard deviation of 8.6 .

a. Find the probability that an individual distance is greater than 218.00 cm.

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 218

μ is the population mean = 205.5

σ is the population standard deviation = 8.6

For x > 218

z = 218 - 205.5/8.6

z = 1.45349

Probability value from Z-Table:

P(x<218) = 0.92696

P(x>218) = 1 - P(x<218) = 0.073044

b. Find the probability that the mean for 15 randomly selected distances is greater than 204.00

When = random number of samples is given, we solve using this z score formula

z = (x-μ)/σ/√n

where

x is the raw score = 204

μ is the population mean = 205.5

σ is the population standard deviation = 8.6

n = 15

For x > 204

Hence

z = 204 - 205.5/8.6/√15

z = -0.67552

Probability value from Z-Table:

P(x<204) = 0.24967

P(x>204) = 1 - P(x<204) = 0.75033

c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

The normal distribution can be used in part (b), even though the sample size does not exceed 30 because initial population size is been distributed normally , therefore, the mean of the samples will be normally distributed regardless of their size(meaning whether the sample size is less than or equal to or exceeds 30, the sample means the mean of the samples will be normally distributed regardless of their size).

What is the area, in square inches, of the shape below? Express your answer as a fraction in simplest form.

Answers

1/6 x 2/3 which is 2/18 and then divide by 2
Which is 1/9 . Your welcome :)

The area of the right-angle triangle will be 1/18 square inches.

What is the area of the right-angle triangle?

The area of the right-angle triangle is given as,

A = 1/2 x B x H

Where B is the base and H is the height of the right triangle.

The height of the right-angle triangle is 1/6 inch. And the base length of the right-angle triangle is 2/3 inches. Then the area of the right-angle triangle is given as,

A = (1/2) x (1/6) x (2/3)

A = 2 / 36

A = 1/18 square inches

The area of the right-angle triangle will be 1/18 square inches.

More about the area of the right-angle triangle link is given below.

https://brainly.com/question/16653962

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Write in slope intercept form the equation of a line that has the slope of 1/3 and the y- intercept of 5.

Answers

Answer:

y = 1/3x + 5

Step-by-step explanation:

Slope intercept form is y = mx + b

m is the slope

b is the y intercept

plug your number in

y = 1/3x + 5

What is the value of e in the equation?
8(10 - 3) = 2e + 6

A.4
B.25
C.50
D.2


Answers

Answer:

b. 25

Step-by-step explanation:

you have to do parenthesis first. so 10-3 =7. 7 x 8 = 56

2×25=50 + 6 would equal 56

so, e = 25

Your answer is 25 you just simply

HELP ASAP WILL GIVE BRAINLIEST

Answers

converse is the correct option

Find the area of a square with sides equaling 7ft.
48 sq. ft.
14 sq. ft.
28 sq. ft.
49 sq. ft.
Option 5

Answers

28 because there’s 4 sides to a square and 4 times 7 is 28

The length of a rectangle is three more than its width. If the perimeter is 46 feet, what are the dimensions of the rectangle?
O 10 by 7
0 43 by 3
O 12 by 11
O 13 by 10

Answers

Answer:

13 BY 10

Step-by-step explanation:

let width be z

length be z+3

perimeter=46

2(l+b)=46

z+z+3=23

2z=20

z=10

z+3=l=13

The answer is the last one! 13 by 10

Tres compañías aportan capitales para hacer una investigación la estrella aporta 509000 724 flechabús la mitad de lo que aporta la estrella más 23184 y la terminal 104208 menos que lo que aporta flechabús cuánto aportan en total cada uno de los tres juntos

Answers

Answer:

En total, se invirtieron $960,000 por parte de las tres empresas.

Step-by-step explanation:

Para resolver cuánto dinero aportaron en total las tres empresas, es necesario determinar la cantidad de dinero que cada una de ellas aportó en forma particular. Así:

La Estrella: 509,000

Flechabus: (509,000 / 2) + 23,184

                   254,500 + 23,184

                   277,684

La Terminal: ((509,000 / 2) + 23,184) - 104,208

                     277,684 - 104,208

                     173,476

Ahora bien, para determinar el total invertido se requiere sumar dichos montos: 509,000 + 277,684 + 173,476 = 960,160

Así, en total, se invirtieron $960,000 por parte de las tres empresas.

Please help! I’ll mark brainliest

Answers

Answer: 19 ≥ 3z + 1 ≥ - 5

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