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.
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.
Answer:
The ineqaulity is x > 2
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.
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!
Plsss I need help !!!!
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
-10(n+30)=1/2(24-14n)
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
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
A CIRCLE HAS A CIRCUMFENCE 43.96 YD FIND THE RADUIS OF THE CIRCLE
Answer:
≈ 7
Step-by-step explanation:
here are 36 points lovely person but first any advice for a student - kid
Sophia learned 10 recipes to create party dishes she learned these recipes in two weeks how many recipes can Sophia learn in five weeks
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?
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.
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.
CAN SOME ACTUALLY HELP ME PLEASE!!!!!!!!!!!!!!!!!!
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:
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
9514 1404 393
Answer:
(3, 1)
Step-by-step explanation:
We assume you want the solution to the system ...
2x−3y=3x=y+2The 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).
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?
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
please help me if you can
Answer:
the answer would be 12/5
what’s the answer to this ?
Answer:
the answer to this question is -13x + 13
Solve the system of linear equations by elimination. Check your solution. 3x + 2y = 7 -3x + 4y = 5
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
Help pls!!!!!!!!!!!!!!!!!!!!!!!
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.
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
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
70√201 please give me your answer
Answer:
992.42
Step-by-step explanation:
solve using quadratic equation
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.
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
Ryan can mow 15 lawns in 5 days. How many lawns can he mow each day?
Answer:
3
Step-by-step explanation:
MARK BRAINLIEST
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
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.
[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.
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:
Answer:
The answer is B
Step-by-step explanation:
Simplify 9 x (1/3)2 + 3a -10 whereas "a" stands for 5.
(1/3)2 = one third to the power of 2
Answer:
24
kobeeeeeeeeee
Step-by-step explanation:
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
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
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
Answer:
25 percent
Step-by-step explanation:
brainliest please
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
Answer:
1200
Step-by-step explanation:
400 x 300 because double
You finish 3/10 of the project. Your friend finishes 2/3 of the project. What fraction of the project is finished??
Answer:
29/30 of the project is finished
Answer:
29/30, or 0.966...
Step-by-step explanation: