Which graph represents the solution set of the system y ≤ x2 – 1 and x > y2 – 6?

Which Graph Represents The Solution Set Of The System Y X2 1 And X > Y2 6?

Answers

Answer 1

The fourth option is indeed correct on Edge 2021.

Which Graph Represents The Solution Set Of The System Y X2 1 And X > Y2 6?
Answer 2

The graph that represents the system of nonlinear inequalities is graph (a)

The nonlinear inequalities are given as:

[tex]y \le x^2 - 1[/tex]

[tex]x > y^2 - 6[/tex]

Rewrite the above nonlinear inequalities as:

[tex]y - x^2 \le - 1[/tex]

[tex]x -y^2 > -6[/tex]

[tex]y - x^2 \le - 1[/tex] means that the inequality has a solid line, and the outside part is shaded

[tex]x -y^2 > -6[/tex] means that the inequality has a dotted line, and the inner part is shaded

So, the graph that represents the system of nonlinear inequalities is graph (a)

Read more about the system of nonlinear inequalities at:

https://brainly.com/question/9248293


Related Questions

The confidence interval for the sample regression function slope A) can be used to conduct a test about a hypothesized population regression function slope. B) can be used to compare the value of the slope relative to that of the intercept. C) adds and subtracts 1.96 from the slope. D) allows you to make statements about the economic importance of your estimate.

Answers

Answer:

A) can be used to conduct a test about a hypothesized population regression function slope.

Step-by-step explanation:

A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.

In Mathematics, residuals are used to measure or determine whether or not the line of regression is a good fit or match for the data by subtracting the difference between them i.e the predicted y value and the actual y value, for the x value respectively.

The confidence interval for the sample regression function slope can be used to conduct a test about a hypothesized population regression function slope.

What is the perimeter of the trapezoid?

Answers

The formula is adding up all the sides like a+b+c+d= perimeter

Answer:

we all know that perimeter is the total distance around us.so the perimeter of a trapezoid is the sum of the lengths of its four sides.if one side is missing use the pythagoras theory.

Step-by-step explanation:

if am wrong please tell me right away

The mean of a set of credit scores is Mu = 690 and Sigma = 14. Which statement must be true?

Answers

Answer:

B

Step-by-step explanation:

Answer: It’s C

Step-by-step explanation:

.....................................

Answers

Answer:

Step-by-step explanation:

The slope of the line is 4/3.

The value of y when x = 0 is -7.

Equation of line:

y = (4/3)x - 7

plz help will give brainiest what is x if it equals y*z*f*r*356 if y=18 z=5 f=7 and r=28 quick help

Answers

Answer:

                                           

Step-by-step explanation:

Help! Jeez these are hard.

Answers

Answer:

option 2

Step-by-step explanation:

a colored in dot is less than or equal to or greater than or equal to while an uncolored dot is less then or greater than. arrow going left of the number is less than arrow going right is greater than. the problem is a is greater than 4/5 so an uncolored dot shout be on 4/5 going to the right

Which angle is complementary to ZCOD?

Need help asap

Answers

Answer:

angle BOC

Step-by-step explanation:

complementary angles add up to 90 degrees

Which best describes an angle?
A. Two distinct rays that originate from a common point
B. Two parallel lines on a plane
C. The set of all points equidistant from a particular point
D. A line with a starting point that extends to infinity
Will give to the brainliest!!

Answers

B hhshshdhehehhehehdhdbdbdbbdbdbddu

A rocket is launched from atop a 74-foot cliff with an initial velocity of 113 ft/s. The height of the rocket above the ground at time t is given by h=16t^2+113t+74. When will the rocket hit the ground after it is launched? Round to the nearest tenth of a second.

Answers

9514 1404 393

Answer:

  7.7 seconds

Step-by-step explanation:

The solution is given by the quadratic formula.

For ax² +bx +c = 0, the roots are ...

  x = (-b±√(b²-4ac))/(2a)

We want the positive root, so ...

  x = (-113 -√(113² -4(-16)(74)))/(2(-16)) = (113 +√17505)/32 ≈ 7.6658

The rocket will hit the ground about 7.7 seconds after it is launched.

Canadians who visit the United States often buy liquor and cigarettes, which are much cheaper in the United States. However, there are limitations. Canadians visiting in the United States for more than 2 days are allowed to bring into Canada one bottle of liquor and one carton of cigarettes. A Canada Customs agent has produced the following joint probability distribution of the number of bottles of liquor and the number of cartons of cigarettes imported by Canadians who have visited the United States for 2 or more days.

a. Find the marginal probability distribution of the number of bottles imported.

P(0 Bottles) =
P(1 Bottle) =

b. Find the marginal probability distribution of the number of cigarette cartons imported.

P(0 Cartons) =
P(1 Carton) =

c. Compute the mean and variance of the number of bottles of liquor imported.

Mean =
Variance =

d. Compute the mean and variance of the number of cigarette cartons imported.

Mean =
Variance =

e. Compute the covariance and the coefficient of correlation.

Covariance =
Coefficient of Correlation =

Answers

Answer:

(a): Marginal pmf of x

[tex]P(0) = 0.72[/tex]

[tex]P(1) = 0.28[/tex]

(b): Marginal pmf of y

[tex]P(0) = 0.81[/tex]

[tex]P(1) = 0.19[/tex]

(c): Mean and Variance of x

[tex]E(x) = 0.28[/tex]

[tex]Var(x) = 0.2016[/tex]

(d): Mean and Variance of y

[tex]E(y) = 0.19[/tex]

[tex]Var(y) = 0.1539[/tex]

(e): The covariance and the coefficient of correlation

[tex]Cov(x,y) = 0.0468[/tex]

[tex]r \approx 0.2657[/tex]

Step-by-step explanation:

Given

x = bottles

y = carton

See attachment for complete question

Solving (a): Marginal pmf of x

This is calculated as:

[tex]P(x) = \sum\limits^{}_y\ P(x,y)[/tex]

So:

[tex]P(0) = P(0,0) + P(0,1)[/tex]

[tex]P(0) = 0.63 + 0.09[/tex]

[tex]P(0) = 0.72[/tex]

[tex]P(1) = P(1,0) + P(1,1)[/tex]

[tex]P(1) = 0.18 + 0.10[/tex]

[tex]P(1) = 0.28[/tex]

Solving (b): Marginal pmf of y

This is calculated as:

[tex]P(y) = \sum\limits^{}_x\ P(x,y)[/tex]

So:

[tex]P(0) = P(0,0) + P(1,0)[/tex]

[tex]P(0) = 0.63 + 0.18[/tex]

[tex]P(0) = 0.81[/tex]

[tex]P(1) = P(0,1) + P(1,1)[/tex]

[tex]P(1) = 0.09 + 0.10[/tex]

[tex]P(1) = 0.19[/tex]

Solving (c): Mean and Variance of x

Mean is calculated as:

[tex]E(x) = \sum( x * P(x))[/tex]

So, we have:

[tex]E(x) = 0 * P(0) + 1 * P(1)[/tex]

[tex]E(x) = 0 * 0.72 + 1 * 0.28[/tex]

[tex]E(x) = 0 + 0.28[/tex]

[tex]E(x) = 0.28[/tex]

Variance is calculated as:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

Calculate [tex]E(x^2)[/tex]

[tex]E(x^2) = \sum( x^2 * P(x))[/tex]

[tex]E(x^2) = 0^2 * 0.72 + 1^2 * 0.28[/tex]

[tex]E(x^2) = 0 + 0.28[/tex]

[tex]E(x^2) = 0.28[/tex]

So:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

[tex]Var(x) = 0.28 - 0.28^2[/tex]

[tex]Var(x) = 0.28 - 0.0784[/tex]

[tex]Var(x) = 0.2016[/tex]

Solving (d): Mean and Variance of y

Mean is calculated as:

[tex]E(y) = \sum(y * P(y))[/tex]

So, we have:

[tex]E(y) = 0 * P(0) + 1 * P(1)[/tex]

[tex]E(y) = 0 * 0.81 + 1 * 0.19[/tex]

[tex]E(y) = 0+0.19[/tex]

[tex]E(y) = 0.19[/tex]

Variance is calculated as:

[tex]Var(y) = E(y^2) - (E(y))^2[/tex]

Calculate [tex]E(y^2)[/tex]

[tex]E(y^2) = \sum(y^2 * P(y))[/tex]

[tex]E(y^2) = 0^2 * 0.81 + 1^2 * 0.19[/tex]

[tex]E(y^2) = 0 + 0.19[/tex]

[tex]E(y^2) = 0.19[/tex]

So:

[tex]Var(y) = E(y^2) - (E(y))^2[/tex]

[tex]Var(y) = 0.19 - 0.19^2[/tex]

[tex]Var(y) = 0.19 - 0.0361[/tex]

[tex]Var(y) = 0.1539[/tex]

Solving (e): The covariance and the coefficient of correlation

Covariance is calculated as:

[tex]COV(x,y) = E(xy) - E(x) * E(y)[/tex]

Calculate E(xy)

[tex]E(xy) = \sum (xy * P(xy))[/tex]

This gives:

[tex]E(xy) = x_0y_0 * P(0,0) + x_1y_0 * P(1,0) +x_0y_1 * P(0,1) + x_1y_1 * P(1,1)[/tex]

[tex]E(xy) = 0*0 * 0.63 + 1*0 * 0.18 +0*1 * 0.09 + 1*1 * 0.1[/tex]

[tex]E(xy) = 0+0+0 + 0.1[/tex]

[tex]E(xy) = 0.1[/tex]

So:

[tex]COV(x,y) = E(xy) - E(x) * E(y)[/tex]

[tex]Cov(x,y) = 0.1 - 0.28 * 0.19[/tex]

[tex]Cov(x,y) = 0.1 - 0.0532[/tex]

[tex]Cov(x,y) = 0.0468[/tex]

The coefficient of correlation is then calculated as:

[tex]r = \frac{Cov(x,y)}{\sqrt{Var(x) * Var(y)}}[/tex]

[tex]r = \frac{0.0468}{\sqrt{0.2016 * 0.1539}}[/tex]

[tex]r = \frac{0.0468}{\sqrt{0.03102624}}[/tex]

[tex]r = \frac{0.0468}{0.17614266944}[/tex]

[tex]r = 0.26569371378[/tex]

[tex]r \approx 0.2657[/tex] --- approximated

Virgil has 1/6 of a birthday cake left over. He wants to share the leftover cake with 3 friends. What fraction of the original cake will each of the 4 people receive? Draw a picture to support your response.

Answers

Answer:

Each of the 4 people will get 1/24 of the original cake

Step-by-step explanation:

The fractional part of cake left out is 1/6

This remaining cake is to be divided among four people.

Thus, each person will get

fractional part of cake left/total number of people

i.e 1/6/4

= 1/24

Each of the 4 people will get 1/24 of the original cake

Liam is a tyre fitter.
It takes him 124 minutes to fit 4 tyres to a lorry.
a)
How long would it take him to fit 6 tyres to a lorry?
b)
If he works for 93 minutes, how many tyres can he fit?

Answers

a) 186 minutes
b) 3 tyres

We can take 124 and divide it by 4 to see how long it takes him to fit 1 tyre, then use that number to sort the rest out.

124/4 = 31

It takes Liam 31 minutes to fit one tyre to a lorry.

To fit 6 tyres, it takes 6 x 31 = 186 minutes

If he works for 93 minutes,
93/31 = 3 tyres

Please let me know if you have any questions.

In the triangle, ABC, the measure of ∠A is 30° and the measure of ∠C is 90°. What is the measure of ∠B?

Answers

Answer:

60°

Step-by-step explanation:

angle A +angle B +angle C = 180

30° +B+90°= 180

120°+B=180°

B=180°-120°

B=60°

HELP PLEASE VERY IMPORTANT​

Answers

Answer:

[tex]2 \times (7 \times 3 + {3.5}^{2} \times \pi \times 0.5) + (7 + 6 + (7 \times \pi \times 0.5)) \times 9[/tex]

Pls give me the answer asap I'll give the crown thingy

Answers

Answer:

Step-by-step explanation:

150 -12.2 -rounded

350 -18.4.

add or subtract

A bag of marbles contains 4 red marbles, 5 yellow marbles, 2 green marbles, and
7 blue marbles. You draw one marble from the bag. Select ALL FALSE statements.

1.) The probability of drawing a red marble is 33%

2.) The probability of drawing a green marble is 1/9.

3.) The probability of drawing a blue marble is twice as much as the probability of
drawing a green marble.

4.) It is more likely to choose a red marble than a green marble.

Answers

Answer:2 and 3

Step-by-step explanation:

They just aren't correct im not sure how to explain

Write the log equation as an exponential equation. You do not need to solve for x. log(5x+2)=3

Answers

Answer:

So happy you are with brainly

Step-by-step explanation:

34

NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Answer:

exponent

Step-by-step explanation:

Answer:

power or exponent it can be both, but being specific here, choose exponent

Step-by-step explanation:

i studied this concept trust me

help pleaseeeeeee :(

Answers

Answer:

Do 16 times pi.

Step-by-step explanation:

The closest answer is D.

Answer:

8 (option 1)

Step-by-step explanation:

Mark it as option 1 => 8 is the crt answer

2pi r = 16

r = 8

Find each missing measure

PLS HURRY WILL GIVE BRANLIEST. DON'T RESPOND WITH LINKS

Answers

Answer: 1 = 90 2=58 3=90 6=58 7=8

Step-by-step explanation:

I don’t know what 4 and 5 are

HELPPP I NEED WORK FOR IT AS WELL

Answers

Answer:

Radius is 9

Formula of a circumference is:

2πr

we can use pie/π as 3.14

3.14 x 2 x 9 (radius) = 56.52

Step-by-step explanation:

If there is a diameter only do half of that and that would be your radius.

Answer:

18π inches (or approximately 56.549 inches)

Step-by-step explanation:

The formula to find circumference is 2πr (or πd). Since we are given the radius (which is half of a circle), we will use 2πr, and the radius (or r) is equal to 9. So you just plug that into the circumference formula, and get:

2*π*9 = 18π

So, the circumference is 18π inches or approximately 56.549 inches (when rounded to the nearest thousandths).

What is the value of z for the equation 2 -- +22?
O
-3
O-1
0 1
3

Answers

Answer:-1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

1.) Write a quadratic rule that represents the table below in standard form.
- 7
x
у
-6
-5
0
-5
-8
4
-9
-3
-8
-2
-5
-1
0
0
7
1
16
2.
27

Answers

Step-by-step explanation:

1st quadrant is(+,+)

2nd quadrant is(+,-)

3rd quadrant is (-,-)

4th quadrant is (-,+)

you deposit $1,200 in a bank account. Find the balance after 4 years in the account pays 3.5% annual interest compounded monthly​

Answers

Answer:

The balance after 4 years would be $1,380.05.

Step-by-step explanation:

Given that you deposit $ 1,200 in a bank account, to find the balance after 4 years in the account pays 3.5% annual interest compounded monthly, the following calculation must be performed:

1,200 x (1 + 0.035 / 12) ^ 4x12 = X

1,200 x 1.00291666 ^ 48 = X

1,380.05 = X

Therefore, the balance after 4 years would be $1,380.05.

Answer:

The balance after 4 years in account pays 3.5% annual interest compounded monthly is 1308.05$

What is the approximate volume of the cone? Use 3.14 for π.
Round to the nearest tenth. NO LINKS pls help <3

Answers

Answer:

About 131.95 (you may have to round up)

Step-by-step explanation:

Volume of a cone = pi(r^2)(h/3)

= pi(3^2)(14/3)

= pi(9)(4 & 4/5)

= pi(43.2)

If your teacher wants an exact number, you have to multiply 43.2 y whatever your teacher says to shorten pi to, usually 3.14. The about 131.95 is from 43.2*3.14 I think.

A scale drawing of a rectangular park had a scale of 1 cm = 100 m.
What is the actual area of the park in meters squared?
PLEASE HELP, 40 POINTS!

Answers

Answer:

521,400

Step-by-step explanation:

660 times 790

The area of the rectangular park which having 660 meter and 790 meter is  521400 m².

How to find area of rectangle ?

A = l b is the formula for the Area of a Rectangle. Once the length and width of a rectangle are known, the area is calculated. The area of a rectangle can be calculated by multiplying its length and width.

The area is the amount of space covered by a flat surface of a specific shape. It is expressed as a "number of" square units. The number of unit squares that can fit into a rectangle is defined as its area. Rectangular shapes include the flat surfaces of laptop monitors, blackboards, painting canvas, and so on. The space occupied by these objects can be calculated using the area of a rectangle formula.

In this figure 1 cm = 100 m

6.6 cm * 100m = 660 m

7.9 cm * 100m = 790 m

Area of the park =  521400 m²

To learn more about area refer :

https://brainly.com/question/25292087

#SPJ2

An expression is shown below:

2x3y + 8xy − 4x2y − 16y

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Plz help, give good answer and get brainlest!!

Answers

Answer:

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

answer:

2y(x³+4x-2x²-8)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

answer:

2y(x³+4x-2x²-8)

2y(x³-2x²+4x-8)

2y(x²(x-2)+4(x-2))

2y(x²+4)(x-2)

What is P(11 and 13)?
A. 1/8
B. 1/4
C. 1/16
D. 1/64

Answers

Answer:

i think it would be a) 1/8

Step-by-step explanation:

sorry if its wrong

What is the missing number

Answers

Answer:

1

Step-by-step explanation:

Can someone help me please

Answers

Answer:

Wassup what do you need help with

Other Questions
.................... lol imagine flirting with someone that is loyal and love someone better HAHAHAHAA How hard would this have been to breathe in? SOMEONE CAN HELP ME , PLEASE I NEED THIS NOW If the pig is on its back, the one doing dissection would say the pig is on thesurface.dosralventralmediallateral How did the discoveries of the Scientific Revolution mostly affect society?People paid little attention because science did not apply to them.People resisted the changes and criticized scientists.People became more religious, as religion seemed safe.People looked for ways to blend religion and science. in the experiment it is important to make measurements that are both precise and accurate which of these measurements of time is the most precise 5.1 second s5.14 second s5 second s. A hybrid is something that consists of two or more different elements. For example, a hybrid car has an electrical and gas engine.Is this true or false? Find the probability of spinning red on every spin c. Osakad. Edo111. Unusually, the feudal political structure created by the Tokugawa was able to accommodatetwo separate institutional authorities:anda. imperial authority and Confucianist pietyb. imperial authority and shogunal powerc. Confucianist piety and shogunal powerd. imperial authority and hereditary serfdomw the list of Japanese cultures in order from most to if the probability that will rain today is 5/8 what us the probability that it will not PLEASE HELPPP!!! I'll give brainliest!Two atoms have the same number of protons but different numbers of neutrons. These atoms are:A. electronsB. isotopesC. moleculesD. radiationtysm! The table shows a proportional relationship between the number of pounds of grapespurchased and the total cost of the grapes.A row of values is missing in the table.Which number of pounds of grapes and total cost of the grapes could be used as themissing values in the table?Select each correct response.Question 1 options:Pounds of grapes: 2Total cost: $1.38Pounds of grapes: 3Total cost: $2.53Pounds of grapes: 6Total cost: $3.68Pounds of grapes: 8Total cost: $5.52Pounds of grapes: 11Total cost: $8.97 which of the following did not lead to the agricultural revolution a) seed drillb) crop rotation c) power loomd) selective breeding select the equation that is equivalent to (x+5)2 Graph the solution: x - 19 < 81 im assuming it's on a number line help Point E is located at coordinates (-7, -5). Point F is located at coordinates (-2, 7). Whatis the length of EF? How are organelles in a plant cell similar to organs in the human body? How are they different? Explain your answer. Why do you think city streets often are designed to be parallel or perpendicular?Just give 2-3 line explanation (no links/unhelpful answers) Nate is exponentially gaining Twitter followers! His current amount of followers is 146. His followers are increasing at a 24% rate each day. Part 1: Is this a growth or decay problem? ( 1 point) Part 2: Which equation correctly represents this problem (2 points) A) y=146(24)x B) y=146(1.024)x C) y= 146(1.24)x