Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?
y > x^2 – 2
y ≥ –x^2 + 5

This is a algebra2 question, no geometry stuff.

Answers

Answer 1

Answer: (read the explanation)

Step-by-step explanation:

To graph the solution set to the given system of inequalities, we can begin by graphing the two inequalities separately. For the first inequality, y > x^2 – 2, we can graph the function y = x^2 – 2 on the coordinate plane and shade the region above the graph. This will represent the values of x and y that satisfy the inequality.

For the second inequality, y ≥ –x^2 + 5, we can graph the function y = –x^2 + 5 on the coordinate plane and shade the region below the graph. This will represent the values of x and y that satisfy the inequality.

Next, we can combine the two graphs by intersecting the shaded regions. The resulting graph will show the solution set to the system of inequalities. The solution set can be identified as the points on the coordinate plane that are contained within the shaded region on the combined graph.

Overall, to modify the graphs of f(x) and g(x) to graph the solution set to the given system of inequalities, we can graph the functions y = x^2 – 2 and y = –x^2 + 5 on the coordinate plane and shade the regions that satisfy the inequalities. The solution set can then be identified as the points within the shaded region on the resulting combined graph.


Related Questions

For a beverage, Lisa mixes cups of lemonade to cups of iced tea in a ratio of 2:5. Which of the following best describes the amount of lemonade to iced tea?

For every 2 cups of lemonade, there are 3 cups of iced tea.
For every 2 cups of lemonade, there are 5 cups of iced tea.
For every 3 cups of lemonade, there are 2 cups of iced tea.
For every 5 cups of lemonade, there are 2 cups of iced tea.

Answers

Answer:

Answer 2 would be true.

Step-by-step explanation:

Because our ratio is 2:5 (or 2 to 5 for easier understanding) we know that every 2 cups we use of lemonade, we pair with 5 cups of tea.

Answer:

The answer is B

Step-by-step explanation:

For every 2 cups of lemonade, there are 5 cups of iced tea.

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Finding slope given two points on the line
Find the slope of the line passing through the points (-4, 6) and (3, -8).

Answers

slope(m) = -2 hope this helps

Answer:

The slope is -2

Step-by-step explanation:

Hi there!

We are given the points (-4, 6) and (3, -8)

We want to find the slope (m) of the line that passes through these points

We can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] to calculate the slope, where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes.

[tex]x_1=-4\\y_1=6\\x_2=3\\y_2=-8[/tex]

Now substitute into the formula

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-8-6}{3--4}[/tex]

Simplify:

m=[tex]\frac{-8-6}{3+4}[/tex]

m=[tex]\frac{-14}{7}[/tex]

Divide

m = -2

The slope of the line is -2

Hope this helps!


See more on calculating slope from 2 points here:  https://brainly.com/question/26738734

The cost of renting a car is represented by C=8.5h+25.5, where C is the cost in dollars and h is the number of hours rented.
If Peter rents a car and pays a cost of $85, how many hours did he rent it for?

Answers

he would have rented the car for 7 hours

What is the value of x?

Answers

Answer:

x = 64

Step-by-step explanation:

2x = 128

x = 64

Answer:

hi

Step-by-step explanation:

i think so

128⁰+2x⁰=180⁰

2x⁰=180⁰-128⁰

2x⁰=52⁰

x=52/2

x=26⁰

hope it helps

have a nice day

if a x b = a/b - 1, then 7 x 28

Answers

Answer:

Do you have answer choices. guess

Step-by-step explanation:

1.-28 -20 help me plsss

Answers

If you mea. 1 . -28 - 20 then the answer is going to be

[tex]1. - 48[/tex]

but if you mean -28 -20 the the answer is going to be

[tex] - 48[/tex]

please help if you know the pythagorean thereom

Answers

A squared + b squared= c squared

Answer:

AD= square root of 221

:)

Step-by-step explanation:

Please follow the instructions and thank you and help me fast please

Answers

Answer:

The most important school subject for kids to learn is English. I think it is most important because your improving your fluency in speaking, polishing your writing skills. and also targeting specific skills you need for a particular social envionment.

when taking an english class you Improve your grammer. you are improving it by learning new words and nowing how to pernounce them.

you are polishing your writing skills by having to write essays,summarizes, and other sorts of writing. you also learn all of the elements of writing. learning that is important.

so taking an english class is really important. taking an english class improves alot of different things. it can even help you if you wanted to become a writer.

Can anyone help me on this question???

Answers

Answer:

Step-by-step explanation:

Answer is B , only you can decide how to spend your money.

Jen collects stamps. The first month she added 25 stamps. Six months later, she doubled in number to a total of 98. How many stamps did she have to start her collection?

Answers

Answer:

49

Step-by-step explanation:

Which of these is an example of due process?

a search without good reason

a prejudiced jury

a cruel punishment

a fair trial

Answers

Answer:

A fair trial.

Answer:

Step-by-step explanation: a search without good reason

The sophomore class needs a combined total of 216 medium and large t-shirts for field day. The number of medium t-shirts needed is three times the number of large t-shirts needed. Based on this information, would it be reasonable for the sophomore class to order 72 large t-shirts and 144 medium t-shirts? A. No, because the number of medium t-shirts is not 3 times the number of large t-shirts B. No, because the number of large t-shirts is not 3 times the number of medium t-shirts C. Yes, because the total number of t-shirts is 216 D. Yes, because the number of large t-shirts is of the total number of t-shirts​

Answers

It could be c as your answer

Simplify the expression: 20x − 6 − 13x + 19
A. 13x − 6

B. 7x + 13

C. 5x − 7

D. 10x + 11

Answers

Answer: B

Step-by-step explanation:

20x-13x-6+19

=7x+13

Which is a number that can be written as a fraction in the form ?

Answers

Rational Numbers: Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. An integer can be written as a fraction simply by giving it a denominator of one, so any integer is a rational number.

Hope this helps!

HELLO!! I NEED HELP! Please show full Solutions. I will mark brainliest for the best answer. Thank you and god bless.

Answers

((x+2)(x+2))-((x-5)(1))=A

x^2+4x+4-x+5=A

x^2+3x+9=A

please help me i don’t know te anser

Answers

A=b h................

Answer:

A = 20

Step-by-step explanation:

A = bh

b = 4

h = 5

4 × 5 = 20

Divide.

389.5÷104
plz i need help

Answers

Answer:

The answer is 3.74519230769


someone please help me

Answers

Answer:

A. 20ft

Step-by-step explanation:

Answer:

d. 98.5

Step-by-step explanation:

Triangles:

5 x 4 = 20/2 = 10

Circle:

5² x 3.14 = 78.5

Add both of them 98.5

HURRY PLEASE I DONT WANT TO FAIL

Answers

Answer: 62

Step-by-step explanation: In the red empty spot, the #5 would go there and in the blue spot the #6 would go there. 8x2=16 and 16+16= 32: t=This is for the to rectangle shapes on both sides. Now for the square in the middle, since the red spot is 5 and the blue is 6, 5x6= 30. So, 30+32=62.

62 your answer ^ your welcome

PLZ HELP NEED BY TODAY!!

Answers

Step-by-step explanation:

Given 5x + 8 = 118 (vertically opposite angles)

[tex]5x + 8 = 118 \\ 5x = 118 - 8 \\ 5x = 110 \\ x = 110 \div 5 \\ = 22[/tex]

find the unit price to the nearest tenth of one cent. 12-ounce can of cola for 60 cents

Answers

Answer:

1 ounce is 0.05

Step-by-step explanation:

Please answer this and my recent questions if you can

Answers

Answer:

x is 15

Step-by-step explanation:

b is 75 hope this helps you

PLEASE HELP ASAP THIS IS DUE TODAY!!!!!

Answers

Answer:

Blue: 2/8

Red or Yellow: 3/8

Not Brown: 8/8

Not Green: 5/8

Number Five: 20%

Step-by-step explanation:

First Four Questions: See how many parts the spinner is in then count the number of colors its asking or not asking for and put that number over the total amount of parts

Question Five: If it shows up on time 80 percent of the time then the other 20 percent of the time they were late so there is a 20 percent chance of that happening again.

What is the height of the cylinder in the diagram? Round your answer to the nearest whole number.

Answers

Answer:

8 is the height

Step-by-step explanation:

please mark this answer as brainlest

Mio calculated the volume in this way : V = 12 • 5

Explain what the 12 and 5 represent in the figure.

Answers

5 represents the height and the 12 is from 4×3

What is the value of m in the equation 5m = 20.05?



25.05


15.05


4.10


4.01

Answers

divide each side by 5
m = 4.01

Ahmad invested in a savings bond for 5 years and was paid simple interest at an annual rate of 2%. The total interest that he earned was $800. How much did he invest?

Answers

25,000 per period, good luck

Evaluate the expression when m=3. m 2 - 5m + 7​

Answers

Answer:

-2

Step-by-step explanation:

Substitute 3 for m: (3)2 - 5(3) + 7

Simplify: 6 - 15 + 7

Follow PEMDAS and subtract 6 from 15: -9 + 7

Add: -2

Hope this helps ^-^

You said m = 3.

Replace every m you see with 3.

m^2 - 5m + 7

(3)^2 -5(3) + 7

9 - 15 + 7

-6 + 7 = 1

Answer is 1.

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

Answers

Answer:

Thaey are proportional

Step-by-step explanation:

Can someone help me please I will give you Brainly if you get it right

Answers

Answer:

Hi! The answer to your question is A. 4 hours

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

4

Step-by-step explanation:                                    

I got it wrong at first but someone corrected me ;n;

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