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

Evaluate: show your work
Find the value of the variable.
102-8m=86

HELP. PLEASE HELP ME. I could really use your help if you evaluated it. Please and thank you :))

Answers

Answer:

this is easy. all you have to do is subtract 102 from 86 (which makes -16) and then divide by -8 (making m equal to 2).

Step-by-step explanation:

102 - 8m = 86

86 - 102 = -16

-16/-8 = 2

Answer:

Its 2 bby :)

Step-by-step explanation:

When a number (in this case it's a variable) is put next to another number we are multiplying. So 8×2=16 Lets test it out. 102-16=86

24-u=234 solve for u

Answers

Answer:

u= -210

Step-by-step explanation:

Hope this is helpful(please make me the brainliest!)

if x =31 and z=27 then what is the value of y?

Answers

Answer: y = 89

Step-by-step explanation:

[tex]x=\frac{y-z}{2} \\\\31=\frac{y-27}{2}\\\\62=y-27\\\\89=y[/tex]

can someone pls help me. it’s marked as late work and i don’t understand how to do
it. the question says “find the surface area of the rectangular prism” if you help i’ll mark u as brainlest tysm

Answers

So how you would answer this question is by finding the area of the sides. So the rectangle is 25 x 17 or 425 and there is 4 rectangles. You take the area of the rectangle and multiply it by 4, which would be 1700 and now you find the area of the square which is 17 x 17 or 289 and then you multiply that by 2 because there are two squares, 578 and you take that answer and put it with the area of the rectangles and you get your surface area. 2278 is the surface area of the rectangular prism. Another way to explain it is there are 6 sides so six areas and you just add the areas together to get the surface area. Hope this helps :D

a student needs to fill a 12 gallon fish tank. The student has a container that holds 1/3 gallon of water. how many times will the student need to fill the container with water in order to fill the fish tank completely

Answers

36 times

Explanation:
12 divided by 1/3 is 36
You can trust this answer
Goodluck!

10 points
question 5: a, b, and c.

Answers

Answer:

the First One By Adding Four

The Second One Add Five And Two

The Third Add Two And Substract Four

Nadia's monthly budget is $2,750. How much does Nadia spend on Rent in a month, in dollars and cents?

Answers

Answer:

990

Step-by-step explanation:

what is the equation of the line in slope-intercept form?


pls help i cant get this wrong

Answers

Answer:

y=mx+b

Step-by-step explanation:

I think the answer is y=mx+b have a wonderful day and I hope you get this right!

What is the area of this trapezoid?

Answers

Answer: 6625 sqaure yards

Step-by-step explanation:

Area for a trapezoid formula is A=(base 1 + base 2)·height÷2

So base one is 120 and base two is 10+120+15=145

and the height is 50 so (120+145)·50÷2=6625 The area for the trapezoid is 6625

A circle has a radius of 12. what is the circumference of the circle

Answers

C=pi 2r
Pi 2 x 12
24 pi =75.36

Answer:

14 because of its addition

Step-by-step explanation:

πr²=x

=12+2+x

=14

18.0 x 9 but with a decimal

Answers

when calculated your answer is 162

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

C. 27

Step-by-step explanation:

If ther are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.

so... 9*5=45

and you do the sane with the cats

9*3=27 therefore the answer is 27.

Answer:

C. 27

Step-by-step explanation:

If there are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.

so... 9*5=45

and you do the same with the cats

9*3=27 therefore the answer is 27.

Three triangles are drawn on the same piece of paper such that no two sides are on the same line. What is the maximum number of points of intersection of the three triangles?

Answers

Answer:

6

Step-by-step explanation:

The mean age of all 618 used cars for sale in a newspaper one Saturday last month was 7.7 ​years, with a standard deviation of 7.3 years. The distribution of ages is​ right-skewed. For a study to determine the reliability of classified​ ads, a reporter randomly selects 30 of these used cars and plans to visit each owner to inspect the cars. He finds that the mean age of the 30 cars he samples is 8.3 years and the standard deviation of those 30 cars is 5.7 years.

Required:
From the problem​ statement, which of the values 7.7​, 7.3​, 8.3​, and 5.7 are parameters and which are​ statistics?

Answers

Answer:

7.7 and 7.3 are the parameters

8.3 and 5.7 are statistics

Step-by-step explanation:

In the given question,

7.7 and 7.3 represents the mean and standard deviation for all of the used cars for sale.

So,

It represents the population mean and standard deviation

So,

7.7 and 7.3 are the parameters .

Now,

8.3 and 5.7 is mean and standard deviation for sample , not for population.

∴ 8.3 and 5.7 are statistics.

Is the expression below a perfect square?
Is so then factor:
x^2 - 36

Answers

Answer:

(x-6)(x+6)

Step-by-step explanation:

Use slopes and y-intercepts to determine if the lines 6x+y=−1 and −2x−5y=1 are parallel.

Answers

Answer:

The two lines are not parallel.

Step-by-step explanation:

Every linear equation follows this structure:

y = mx + b

y is the y value

x is the x value

m is the gradient/slope of the line

b (or sometimes c) is the y-intercept of the line

Firstly, we have to get the y term on one side by itself.

6x + y = -1

-6x        -6x

y = -6x - 1

-2x -5y = 1

+2x         +2x

-5y = 2x + 1

Secondly, we make it so the y term is just the y value.

The first equation is already like this, so we don't need to do anything to that.

-5y = 2x + 1

÷ -5  ÷ -5

y = (2x + 1) / -5

This can be expanded and simplified to:

y = -2/5x - 1/5

Thirdly, we have to compare the slopes and y-intercepts.

y = -6x - 1

y = 2/5x - 1/5

If the slopes are the same and the y-intercepts are different, they are parallel. However, the slopes are different, therefore they are not parallel.


Find the area of the trapezoid:
28 in.
16 in.
21 in.

Answers

The area is 462 in.
I believe is 16 or 17 form all the research and solving it I think is 16

What is the value of x in the equation (2x + 1)1/3 + 3 = 6

Answers

Answer:

x = 4

Step-by-step explanation:

Let X={a,b,c,3,4,5) and Y = {b,d,f,3,5,7).
List the members of the set XU Y, using set braces.
XUY= { }
(Use a comma to separate answers as needed.)

Answers

Answer:

{a,b,c,d,f,3,4,5,7}

Step-by-step explanation:

If X={a,b,c,3,4,5}

Y={b,d,f,3,5,7}

THEREFORE {XUY}= {a,b,c,d,f,3,4,5,7}

XUY represents the union of sets X and Yas {a, b, c, d, f, 3, 4, 5, 7}.

What is a set?

A set is defined as a group of objects in mathematics. Set names and symbols begin with a capital letter. According to set theory, a set's constituent parts can be included in anything.

The sets are given in the question, as follows:

X = {a,b,c,3,4,5}

Y = {b,d,f,3,5,7}

We have to determine the members of the set XUY, using set braces.

As per the question, the required solution would be as:

XUY = {a, b, c, d, f, 3, 4, 5, 7}

XUY represents the union of sets X and Y, which contains all elements that are in set X or set Y, or in both. Since none of the elements in set X or set Y are repeated, all of the elements in set X and set Y are included in the union without duplication.

Learn more about set theory here:

brainly.com/question/23454979

#SPJ2

If this circle has a radius of 7.4 and m intercepted sector (shaded blue). Round answers to two decimal places.
Use the r button on your calculator.

Answers

Answer:

Gddghdhdhdhy heifer here early enough h her y

Someone explain and help me do this for me I really need the help

Answers

Answer:

74.13

6×10=60

A=pi r^2

3.14×3^2=28.26

28.26/2 =14.13 (because it is half a circle)

14.13+60=74.13

not sure if that is correct but that is what i got

In a study of academic procrastination, the authors of a paper reported that for a sample of 451 undergraduate students at a midsize public university preparing for a final exam in an introductory psychology course, the mean time spent studying for the exam was 7.74 hours and the standard deviation of study times was 3.10 hours. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of students taking introductory psychology at this university.
(a) Construct a 95% confidence interval to estimate μ, the mean time spent studying for the final exam for students taking introductory psychology at this university. (Round your answers to three decimal places.) TWO VALUES
(b) The paper also gave the following sample statistics for the percentage of study time that occurred in the 24 hours prior to the exam.
n = 451 x = 43.78 s = 21.96
Construct a 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam. (Round your answers to three decimal places.)

Answers

Answer:

a) The 95% confidence interval to estimate μ is (7.435, 8.045) hours.

b) The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).

Step-by-step explanation:

Question a:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{3.3}{\sqrt{451}} = 0.305[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.305 = 7.435 hours

The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.305 = 8.045 hours.

The 95% confidence interval to estimate μ is (7.435, 8.045) hours.

Question b:

90% confidence interval means that [tex]Z = 1.645[/tex]

The margin of error is:

[tex]M = 1.645\frac{21.96}{\sqrt{451}} = 1.701[/tex]

43.78 - 1.701 = 41.079%

43.78 + 1.701 = 45.481%

The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).

Find the surface area of the rectangular prism below.

Answers

Answer:

630 ft

Step-by-step explanation:

(11 * 15) * 2 = 330 ft

(5 * 15) * 4 = 300 ft

330 + 300 = 630 ft

Select the correct difference. 5d^2 + 4d - 3 less 2d^2 - 3d + 4

Answers

Answer:

[tex]3d^2+ 7d- 7[/tex]

Step-by-step explanation:

Given

[tex]P_1 = 5d^2 + 4d - 3[/tex]

[tex]P_2 = 2d^2 - 3d + 4[/tex]

Required

P1 less P2

This means that we subtract P2 from P1.

So, we have:

[tex]P_1 - P_2 = 5d^2 + 4d - 3 - (2d^2 - 3d + 4)[/tex]

Remove bracket

[tex]P_1 - P_2 = 5d^2 + 4d - 3 - 2d^2 + 3d - 4[/tex]

Collect like terms

[tex]P_1 - P_2 = 5d^2 - 2d^2+ 4d + 3d- 3 - 4[/tex]

[tex]P_1 - P_2 = 3d^2+ 7d- 7[/tex]

The difference is: [tex]3d^2+ 7d- 7[/tex]

A gym offers classes for students to attend. If both the range and median number of students attending each class was 13 students, which of the following box-and-whisker plots could represent the number of students attending the classes?

Answers

Answer:

3

one

will represent

the student

6:45 + 85


No links pls

Answers

so first you wanna break down the 85 minutes so 1 hour is 60 minues now its 7:45 but we still have 25 minutes left sow now we add the minutes it will be 8:05

8:05 is the answer

Answer:

Step-by-step explanation:

The angle of elevation from Nathan to a lighthouse is 74°.
If the lighthouse is 112 feet tall, how far is Nathan from the
base of the lighthouse?

Answers

Answer:

Nathan is 36.3910059 ft from the base of the lighthouse.

Step-by-step explanation:

So to find the base, you have to find the tan (both legs) of the right triangle that the lighthouse makes. The angle of Nathan to the lighthouse is 74° so to find the distances, you have to do the tan(72) = opp/adj

The opposite is 112, and we have to find the adjacent.

tan(72) = 112/adj

3.07768354 = 112/adj

adj = 112/3.07768354

adj = 36.3910059

Which expression is equivalent to 6x-9,
3

Answers

Answer:

the expresion its equal at the d9feremce between you and the excercise so its 7

If Sally purchases a car for $22,000 with a 5 year loan having a 2.5% interest rate, how much simple interest will she have to pay on the loan?​

Answers

Answer:

$2750 worth of simple interest

Step-by-step explanation:

The equation for simple interest is to multiply the amount by the time by the rate:

22000 * 5 * 0.025 = 2750

Trig ratio and finding the missing angle pair.

Answers

Hello!

This is a question relating trigonometric ratios and a missing angle.

Here, since we are given all three sides of the triangle, we can use any of the three trigonometric ratios, sine, cosine, or tangent to solve this problem.

I'll be using the sine ratio for this problem.

The sine of an angle is the ratio between the triangle's opposite side and its hypotenuse.

Meaning the following equation could be set up.

[tex]sin(\theta)=\frac{45}{75}[/tex]

Now, we can just solve for theta.

[tex]\theta=sin^{-1}(\frac{45}{75})[/tex]

Make sure you're in degrees when you're solving this problem.

[tex]\theta=36.870[/tex]

Hope this helps!

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