If 4 is the solution set of the equation x² -4 = 0 and B is
the solution set of the equation x²-3x+2=0, how many
elements are in the union of the two sets?
A. 1
C. 3
B. 2
D. 4

Answers

Answer 1

Answer:

3 elements

Step-by-step explanation:

Let A = solution set of x²-4

B = solution set of x²-3x+2

First, find the solution of each sets:

[tex]\displaystyle{x^2-4=0}\\\\\displaystyle{(x+2)(x-2)=0}\\\\\displaystyle{x=2,-2}[/tex]

Set B:

[tex]\displaystyle{x^2-3x+2=0}\\\\\displaystyle{(x-2)(x-1)=0}\\\\\displaystyle{x=1,2}[/tex]

Now we can write new set as:

A = {2, -2}

B = {1, 2}

The union of A and B means combine both sets together:

A ∪ B = {2, -2, 1, 2}

However, in a set, we do not write duplicate elements, so the union set will be:

A ∪ B = {2, -2, 1}

Hence, there are 3 elements in A ∪ B.


Related Questions

can someone help asap ill give brainiest plus 50 points if you answer right.

Examine the following graph of a nonlinear function.
Graph of a nonlinear function passing through (0, negative 3), (1, negative 2), (2, 0), & (3, 4).



What is the average rate of change over the interval 1≤x≤3?

Enter your answer as a number, like this: 42

Answers

Answer:

the answer is 3

Step-by-step explanation:

just guessed and got it right since it wasn't 1 or 2 because i tried searching up the answer and they were around 2 but rlly close to 3

The rate of change of y with respect to x is 3.

We have a graph of a Non - linear function.

We have to determine the average rate of change over the interval

1 ≤ x ≤ 3.

What do you understand by the Average rate of change of two quantities plotted along X and Y axis respectively?

It indicates the rate of change of y with respect to x. Mathematically -

[tex]$r=\frac{dy}{dx}[/tex]

or

[tex]$r =\frac{y(2)-y(1)}{x(2) -x(1)}[/tex]

According to the question -

The coordinate points plotted area s follows -

X    Y

1    -2

2    0

3    4

Now, the average rate of change →

[tex]$r =\frac{y(2)-y(1)}{x(2) -x(1)}[/tex]

[tex]$r =\frac{4-(-2)}{3-1}[/tex]

r = 3

Hence, the rate of change of y with respect to x is 3.

To solve more questions on Average rate, visit the link below-

https://brainly.com/question/21635353

#SPJ2

In a cookie jar containing 6 chocolate chip cookies, 8 sugar cookies, and 10 peanut butter cookies, what is the probability that a person who isn’t looking as they pull out one cookie, will get a chocolate chip cookie? express your answer a

Answers

Answer:

25 percent

Step-by-step explanation:

brainliest please

A CIRCLE HAS A CIRCUMFENCE 43.96 YD FIND THE RADUIS OF THE CIRCLE

Answers

Answer:

≈ 7

Step-by-step explanation:

≈7 I believe that’s the correct answer

-10(n+30)=1/2(24-14n)

Answers

N = -104 is the correct answer

Ryan can mow 15 lawns in 5 days. How many lawns can he mow each day?

Answers

It should be 3
15/5 is 3.

Answer:

3

Step-by-step explanation:

MARK BRAINLIEST

Sophia learned 10 recipes to create party dishes she learned these recipes in two weeks how many recipes can Sophia learn in five weeks

Answers

25 recipes I think plz tell me in comments what ur is if I’m wrong

Solve the following system of equations using Substitution: Submit your answer as an ordered pair. 2x−3y=32x-3y=32x−3y=3 x=y+2x=y+2x=y+2

Answers

9514 1404 393

Answer:

  (3, 1)

Step-by-step explanation:

We assume you want the solution to the system ...

2x−3y=3x=y+2

The second equation gives a nice expression for x, so we can use that in the first equation.

  2(y+2) -3y = 3 . . . . substitute for x in the first equation

  2y +4 -3y = 3 . . . . . eliminate parentheses

  -y = -1 . . . . . . . . . . . collect terms, subtract 4

  y = 1 . . . . . . . . . . . . multiply by -1

  x = 1 +2 = 3 . . . . . . substitute for y in the second equation

The solution is (x, y) = (3, 1).

here are 36 points lovely person but first any advice for a student - kid

Answers

I don’t have much advice, but I would make yourself a schedule and a to-do list so you stay in track, and know what you’re doing each day so you can hold yourself accountable and can’t have any excuses about “not knowing about the work” because if you’re organized and get it done fast, you will be able to know about all of you work and have beTter grades since you have more time to learn the material and turn it in on time

Thanks for the points lol

If you know that a denominator in your ratio table is 12 and one of
the other ratios is 1/3, what numerator should you apply to your
12 denominator to make that ratio have the same value?

Answers

Answer:

the numerator is 4

Step-by-step explanation:

1/3 = ?/12

How did the values of the denominator change from 3 in the fraction 1/3 to 12 in the fraction ?/12? 3 was multiplied by 4 to get 12.

Then, since 12 is 4 times 3, then the missing numerator must be 4 times 1.

1/3 = 4/12

Answer: the numerator is 4

CAN SOME ACTUALLY HELP ME PLEASE!!!!!!!!!!!!!!!!!!

Answers

Answer:

(1, No, No) (2, No, Yes) (3,  6x^2+10) (4, 2x^2-3) (5,  x^2-x) (6, -2x^4+12x+3)

(7,  3x^3+15x^2+20)  (8, 9x^3 + 4x^2+8x)  (9, xy+2x+6y+5) Sorry didn't have an answer for 10. I hope they are all correct sorry for the wait.

Step-by-step explanation:

You are planning a party. Your friend tells you how much she paid $4.50 for three party grab bags. How much will it cost you to buy seven of the grab bags.

Answers

Answer:

10.5

Step-by-step explanation:

4.50 ÷ 3 = 1.5

1.5 × 7 = 10.5

Answer:

$10.50

Step-by-step explanation:

Divide 4.50 by three. (1.5)

Multiply by 7 (10.5)

I hope this helps!

Plz, marl brainliest!

Por un tubo de 2.5 cm de diámetro fluye agua con una repidez de 20 cm/s ¿Cuál es el valor del flujo y el gasto del agua?

Answers

Answer:

El flujo y gasto de agua es aproximadamente 98.175 centímetros cúbicos por segundo.

Step-by-step explanation:

El gasto del agua ([tex]Q[/tex]), medido en centímetros cúbicos por segundo, es el flujo que pasa a través del tubo. La ecuación para determinar el gasto es:

[tex]Q = \frac{\pi}{4}\cdot D^{2}\cdot v[/tex] (1)

Donde:

[tex]D[/tex] - Diámetro del tubo, medido en centímetros.

[tex]v[/tex] - Velocidad del flujo, medida en centímetros por segundo.

Si sabemos que [tex]D = 2.5\,cm[/tex] y [tex]v = 20\,\frac{cm}{s}[/tex], entonces el flujo y gasto del agua es:

[tex]Q = \frac{\pi}{4}\cdot (2.5\,cm)^{2}\cdot \left(20\,\frac{cm}{s} \right)[/tex]

[tex]Q \approx 98.175\,\frac{cm^{3}}{s}[/tex]

El flujo y gasto de agua es aproximadamente 98.175 centímetros cúbicos por segundo.

solve using quadratic equation​

Answers

Answer:

±5 is your answer

Step-by-step explanation:

x²-25=0

comparing above equation with ax²+bx+c

we get

a=1

b=0

c=-25

by using quadratic equation

x=(-b±√(b²-4ac))/2a=(-0±√(0²-4×1×-25))/2×1

=±{√(100)}/2=±(√10²)/2=±10/2=±5

Answer:

5, - 5

Step-by-step explanation:

x^2 = 25

x = ± √25

= ± 5

x = 5, - 5

Nita needs at least $85 to buy a skateboard. She already has $61. Which graph best represents all the possible dollar amounts that Nita can save to buy a skateboard? (5 points)

Number line graph with open circle on 24 and shading to the right.
Number line graph with closed circle on 24 and shading to the right.
Number line graph with open circles on 0 and 24 and shading in between.
Number line graph with closed circles on 0 and 24 and shading in between.

Answers

Answer:

Number line graph with closed circle on 24 and shading to the right.

Step-by-step explanation:

First, the graph has to have a closed circle on only 24.

Since she has $61 and needs at least $85 to buy a skateboard, she needs to have at least $24 saved to buy one.

This means the last 2 answer choices are wrong, because there cannot be shading in between.

The first answer choice is also wrong because it puts a open circle, instead of a closed one, on 24.

So, the correct answer is Number line graph with closed circle on 24 and shading to the right.

give the other brainliest

please help me if you can

Answers

Answer:

the answer would be 12/5

Cross multiply
35x=84
Then divide
Leave it as a fraction

Michael needs to gain weight. He weighs 120 pounds and thinks he can gain 2 pounds a week. He wants to weigh at least 165 pounds. How long will it take him to reach this goal? inequality: solution:​

Answers

Answer:

The answer is B

Step-by-step explanation:

You finish 3/10 of the project. Your friend finishes 2/3 of the project. What fraction of the project is finished??

Answers

Answer:

29/30 of the project is finished

Answer:

29/30, or 0.966...

Step-by-step explanation:

Solve the inequality x+4>6. Then graph the solutions. What are the​ solutions? Select the correct choice below and fill in the answer box to complete your choice.

Answers

Answer:

The ineqaulity is x > 2

Step-by-step explanation:

A destroyer on patrol spots an aircraft at an altitude of 10,000 ft and an angle of elevation of 20⁰. How far is the aircraft from the ship?
Round to the nearest whole number.

Answers

[tex]sin= \frac{opp}{hyp} \\\\sin (20) = \frac{10000}{hyp}\\\\hyp= \frac{10000}{sin(20)} \\\\hyp= 29238 ft[/tex]

The aircraft is 29238 ft from the ship

//

Note: this is based on my assumption that we are looking for the hypotenuse.

If we are looking for the adjacent side, then the answer would be 27475 ft.

what’s the answer to this ?

Answers

Answer:

the answer to this question is -13x + 13

3 times the length of a field increased by 4 times the width gives 24 units. Two times the length decreased by 3 times the width is -1 unit. Find the dimensions

Answers

Answer:

width = 3

length = 4

Step-by-step explanation:

Ok so you can form a system of equations where w is the width and l is the length:

3l + 4w = 24

2l - 3w = -1

you want to eliminate one of the variables and then solve, so you can first take the top equation and multiply both sides by 2:

6l + 8w = 48

next, multiply the second equation by 3:

6l - 9w = -3

now that both include 6l, you can subtract the two equations

6l + 8w = 48

- (6l - 9w = -3)

17w = 51

divide both sides by 17

w = 3

Plug w = 3 into the equation 3l + 4w = 24:

3l + 4 * 3 = 24

3l + 12 = 24

subtract 12 from both sides

3l = 12

divide both sides by 3

l = 4

Simplify 9 x (1/3)2 + 3a -10 whereas "a" stands for 5.

(1/3)2 = one third to the power of 2

Answers

Answer:

24

kobeeeeeeeeee

Step-by-step explanation:

Help pls!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

9x6=54 ur welcome:)

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

The perimeter of a rectangle formula is P = 2*Length + 2*Width

The length is the largest side, so it's 9.

The width is the smallest side, so it's 6.

So, our formula would be like this: P = 2*9 + 2*6.

Tyrone went to a basketball game and brought a jersey that was on sale at a 30% discount. He also bought a hat that cost $37.89. Tyrone spent a total of $83.39.

Answers

Guessing we need to find the original cost of the jersey?

83.39 - 37.89 = 45.50 is the sale price of the jersey

x - 0.3x = 45.50 (full price minus 30% of the full price)
0.7x = 45.50, divide by 0.7
x = $65

aiudaaa
1. Encierra en un circulo los monomios semejantes.

a. –3x2 + 2yz – 3x² + yx - 6

b. 0.7abc-3ab + 8c - ab + 7abc

C x+1 - 2x" + 6x"-2 8x" + 3x"-2 4x

d. mn – 2m?n + 5m³n* -mn³ + 0.5m2n – 3

e. -8ab - 6a²b² + V3ab + 0.5a?b? + 5ab

2. Reduce los términos semejantes en cada polinomio.

a. 3a-8a + 60-70

b. *y + 6x?y – 0.5x?y

C. ab – 7ab +ab

d. x2n – 2x2n + 6x2n

e. 7xy+6xy3 – xy3

3. Determine el perímetro de las siguientes figuras. 4. Halle el área de la parte sombreada de cada fig​

Answers

Answer:

Traduzca el resto en inglés

Step-by-step explanation:

Simplificando

6x + -2 + 2x = -2 + 4x + 8

Reordenar los términos:

-2 + 6x + 2x = -2 + 4x + 8

Combinar términos semejantes: 6x + 2x = 8x

-2 + 8x = -2 + 4x + 8

Reordenar los términos:

-2 + 8x = -2 + 8 + 4x

Combinar términos semejantes: -2 + 8 = 6

-2 + 8x = 6 + 4x

Solving

-2 + 8x = 6 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

-2 + 8x + -4x = 6 + 4x + -4x

Combine like terms: 8x + -4x = 4x

-2 + 4x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0

-2 + 4x = 6 + 0

-2 + 4x = 6

Add '2' to each side of the equation.

-2 + 2 + 4x = 6 + 2

Combine like terms: -2 + 2 = 0

0 + 4x = 6 + 2

4x = 6 + 2

Combine like terms: 6 + 2 = 8

4x = 8

Divide each side by '4'.

x = 2

Simplifying

x = 2

Solve the system of linear equations by elimination. Check your solution. 3x + 2y = 7 -3x + 4y = 5​

Answers

Answer:

(3x+2y=7-3x+4y)=5

3x+3x+2y-4y-7=5

6x-2y-7=5

6x-2y=5+7

=12

2(3x-y)=12

3x-y=12/2

= 6

john makes $400 per week. What does it mean for him to get a 150% salary raise? Explain in words and then give an example showing a calculation.
plzzzzzzzzzzzzzzzzzzzzzz help me

Answers

Answer:

1200

Step-by-step explanation:

400 x 300 because double

70√201 please give me your answer​

Answers

Answer:

992.42

Step-by-step explanation:

Plsss I need help !!!!

Answers

Answer:

acute

Step-by-step explanation:

Answer:

Acute triangle.

Explanation:

All sides are under 90 degrees.

A bit of help if you need it:

Acute: all sides are under 90 degrees

Right: One side is 90 degrees

Obtuse: One side is above 90 degrees

The cactus grill has decided to run a special on Wednesday night where every table gets 10% off their bill find the total for this table

Answers

B? I pretty sure it’s b
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