Answer:
[tex]\displaystyle x = 3 \pm i\sqrt{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
FactoringStandard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]Algebra II
Imaginary Numbers: √-1 = iStep-by-step explanation:
Step 1: Define
x² - 6x + 12 = 0
Step 2: Identify Variables
Compare the quadratic to standard form.
x² - 6x + 12 = 0 ↔ ax² + bx + c = 0
a = 1, b = -6, c = 12
Step 3: Find Roots
Substitute in variables [Quadratic Formula]: [tex]\displaystyle x=\frac{-(-6)\pm\sqrt{(-6)^2-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] Simplify: [tex]\displaystyle x=\frac{6\pm\sqrt{(-6)^2-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] [√Radical] Evaluate exponents: [tex]\displaystyle x=\frac{6\pm\sqrt{36-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] [√Radical] Multiply: [tex]\displaystyle x=\frac{6\pm\sqrt{36-48}}{2(1)}[/tex][Quadratic Formula] [√Radical] Subtract: [tex]\displaystyle x=\frac{6\pm\sqrt{-12}}{2(1)}[/tex][Quadratic Formula] [√Radical] Factor: [tex]\displaystyle x=\frac{6\pm \sqrt{-1} \cdot \sqrt{12}}{2(1)}[/tex][Quadratic Formula] [√Radicals] Simplify: [tex]\displaystyle x=\frac{6 \pm 2i\sqrt{3}}{2(1)}[/tex][Quadratic Formula] [Fraction - Denominator] Multiply: [tex]\displaystyle x=\frac{6 \pm 2i\sqrt{3}}{2}[/tex][Quadratic Formula] [Fraction - Numerator] Factor: [tex]\displaystyle x=\frac{2(3 \pm i\sqrt{3})}{2}[/tex][Quadratic Formula] [Fraction] Divide: [tex]\displaystyle x = 3 \pm i\sqrt{3}[/tex]A rectangular room measures 10 feet by 12 feet. How much would it cost to carpet if the carpeting sells for $12 per square yard?
Answer:
$480
Step-by-step explanation:
10 times 12 is 120
So 120 ft in yards is 40 yards
40 times 12 is 480
The circle below represents one whole.
What percent is represented by the shaded area?
%
Answer:
25%
Step-by-step explanation:
check
1/4 * 100% = 25%
The region represented by the shaded area has 25% and is 1/4th of the total circle.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
The formula to calculate the area of the circle is given as πr², where r is the radius of the circle.
In the given figure the total area of the circle is πr². The shaded region is one-fourth of the total area of the circle.
Total area = πr²
Shaded area = ( 1 / 4 )πr²
The percentage of the shaded area will be calculated as
Shaded area = ( 1 / 4 )πr²
Shaded area = ( 0.25 )πr²
To convert it into a percentage multiply by 100.
Shaded area = ( 0.25 x 100 )πr²
Shaded area =25% πr²
Put πr² as the total area.
Shaded area =25% of Total area.
Therefore, the region represented by the shaded area has 25% and is 1/4th of the total circle.
To know more about an area follow
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1. If x is 3, what is 3x + 2x? Plz I need help
Answer:
15
Step-by-step explanation:
3*3+2*3=15
Answer:
15
Step-by-step explanation: If x equals 3, then you would do 3x3 = 9 and 2x3 = 6. Then add to get 15.
If you can help thankyou!
Answer:
its 3
Step-by-step explanation:
lol
Answer:
choice 2) x = -1/3
Step-by-step explanation:
x^3 = -1/27
x = -1/3
HELP PLEASE!! Aspen Needs Help
Answer: Choice A. f(x) = sqrt(x-1)
===========================================
Explanation:
The parent function is y = sqrt(x) and the left-most edge of this curve is at (0,0).
The graph shows the left-most point at (1,0) instead.
This means we've shifted everything 1 unit to the right, or you can think of the xy axis being shifted 1 unit to the left while the square root curve stays still (giving the illusion the curve moves).
If we shifted the xy axis 1 unit to the left, then each input x becomes one smaller, so each input is now x-1
That's why we go from y = sqrt(x) to y = sqrt(x-1)
You can use a graphing calculator to confirm this, or you can create a table of values to generate the points on this new blue curve.
After two six sided dice are rolled, what is the probability that the dice faces add up to either a 4 or 6?
6 = 36 because each die has 1 to 6 number on its faces.
Answer:
.222
Step-by-step explanation:
Which is greater, 0.024 or 0.102? How did you get answer?
Answer:
0.102
Step-by-step explanation:
because 0.102-0.024>0, meaning it has more. also the second number has a . tenth while the first number has 2 hundreths, which is smaller
Answer:
0.102
Step-by-step explanation:
Because 0.024 and 0.102 is compared by digits first digit of THEM both is 0 and its equal second digit is 0 and 1 so 1 is greater than 0 because of the 1 on the 0.102 it is greater
write the supplement of : (x+ 35)^0.
please tell fast
Answer:
179
Step-by-step explanation:
(x+35)^0=1
supplement=
180-1
179
What is the percent of change from 400 to 600
Answer:
I dont speak english so i dont know whats is your question
Marcia is at a store with a 20% off sale. She also has a coupon for an additional 10% off the sale price. Prove or disprove the following statement: A 20% discount on the original price of an item followed by the use of a 10% coupon, results in a total discount of 30%.
is it multipuction then do that the rest
if MJ is in grade 8, then he is 14 years old.
Answer:
True
Step-by-step explanation:
because the grade 8 students can be 14 years old
How do you solve for a variable?
A. Use the alphabet
B. Displacement
C. Get it by itself
Answer:
C. Get it by itself
Step-by-step explanation:
When solving for a variable, whether it be an inequality, a factor, or an algebraic expression. Getting the specified variable by itself is the most effective and best way to get that answer to your question. The other two answers here do not make any sense whatsoever.
shows that the points (2,1), (6,2), (5,6), and (1,5) are the vertices of a square. Then obtain the perimeter and area of that square. (remember that a square is defined by having its four equal sides) I need help please?
Answer:
The perimeter of this square will be 32 and the Area will be 64
Step-by-step explanation:
I posted a picture of how I got this
Hope this Helped
Karlee has 4 sets of pencils. In each set, 1 pencil is 1/
7 of the pack. All of the packs are full. What is the total number of pencils that Karlee has in her 4 pencil packs?
someone answer plz
Answer:
karlee has 28 pencils in her 4 pencil packs
Answer:
Its 28
Step-by-step explanation:
because it is
PLEASE HELP MEEEEEE I need help quickly
Answer:
60
Step-by-step explanation:
There are sixty students.
15% = 9
------------------
100% = x
Cross muliply.
900
------
15x
Divide 15x by 15, and 900 by 15.
Answer is 60.
I hope this helps!
Brainliest would be awesome!
Justin flipped a coin and it landed on tails 7 times and heads 3 times. What is the experimental probability that the coin lands on tails the next time he flips it? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW WORK!!)
A. 70%
B. 5040
C. 5.2
D. 4(2X+4)
E. 300%
F. 2.5
G. 5267
H. 4X(2X-4)
I. 299%
J. .4
Answer:
Step-by-step explanation:
Evaluate the function when x = 3.
f(x) = 5x + 2
A. -1/5
B. 1
C. 3
D. 7
F(x)=3^3 + 5(3)^2 +1
F(x)=27 + 5(9) +1
F(x)=27+45+1
F(x)=73
f(x) = -4 cual es su grafica
What 5 divided by 4.25.
Answer:
Step-by-step explanation:
5 divided by 4.25 = 85 reminder 0
Graham Sugar Company has 900 pounds of sugar to package. Each bag of sugar holds two and four-tenths pounds. How many bags are needed?
Answer:
375 bags
Step-by-step explanation:
900/2.4=375 bags
The school sold 300 tickets to the theatre performance. They sold adult tickets for $9 each and student tickets for $6 each. They made a total of $2, 190. How many students were in attendance?
PLEASE HELP! I need to show work
Answer:
170 students were attending
Step-by-step explanation:
use a system of equations:
[tex]\left \{ {{x+y=300} \atop {9x+6y=2190}} \right.[/tex]
let x be the adults and y be the students
[tex]\left \{ {{-9(x+y=300)} \atop {9x+6y=2190}} \right.[/tex] multiply the top equation by -9 and add the two systems together to cancel out x. you are then left with:
[tex]-3y=-510[/tex]
divide both sides by -3 to leave y alone:
[tex]\frac{-3y}{-3}=\frac{-510}{-3}[/tex]
that would leave you with:
y=170
Plz help would be a life saver
The expression below represents the vertical height above the ground, in meters, of a roller coaster when it is x meters away from the starting station.
x^2+6x=15
Which statement best describes the term 15?
the maximum height of the roller coaster
the horizontal distance from the station when the roller coaster is at its maximum height
the velocity of the roller coaster
the initial height of the roller coaster
Answer:
D.) the initial height of the roller coaster
Step-by-step explanation:
Answer:
the initial height of the roller coaster
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!
At a table tennis tournament, two games lasted a total of 32 minutes. One game took 12 minutes longer than the other. How long did it take to complete each game? Use letters to represent the unknowns. Solve the problem
Answer:
22 and 10 minutes
Step-by-step explanation:
x+x+12= 32
2x+12= 32
2x= 20
x= 10 This is one game.
10+12= 22 This is the other game.
Can anyone answer this please
Exercise 1.7.1.
1. In a class of 32 students, 11 study Physics, 16 study Biology, 14 study Chemistry but
4 do not study of these subjects, 5 study Physics and Biology,4 study Physics and
Chemistry, 7 study Biology and chemistry while 6 study chemistry only. Using n to
represent the number of students who study all three subjects.
(a) Illustrate this information on a Venn diagram
(6) Write an equation in terms of n.
(c) By solving your equation in (6), find the number of students who study:
(i) all three subjects
(ii) Physics or Chemistry but not Biology
thiz language is french
I need help on 21 and 22
Answer:
Q-22 (a) area of each face (square) = sxs
= 10 x 10
= 100 inches²
Total surface area = 6a²
= 6 x 10 x 10
= 600 inches²
Let h(t) =-16t2 + 5t + 1. What is h(1)?
Answer:
Step-by-step explanation:
Hhggggy
graph a line with a slope of 4 that contains the point (3,0).
Answer:
The graph at the bottom of the page is what it would look like.
*Note: I made the graph using desmos
Answer:
(3,0) and (4,4)
Step-by-step explanation:
✨6 Grade Math✨ PLEASE HELP I RLLY DONT GET IT
Answer:
a. 12s + 19j - 3
36 + 28 - 3 = 61
b.
Shirt (per unit cost):
Before Discount: $12
After Discount: $12 - $3 = $9
Jeans (pair cost):
Before Discount: $19
After Discount: $19 - $3 = $16
(12-3)s + (19-3)j
27 + 32 = $59