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]16
Select the correct answer.
Which of these numbers are 11 units from 0 on the number line?
A: 0
B: +11
C: -11
O A.
A and B
O B.
A and C
O C.
B and C
OD. Conly
Answer:
b and c
Step-by-step explanation:
Skylas research Shows at eight empty cans make 1/ 4th pound of aluminum
she
wants to know how many cans it takes to make 5 pounds of aluminum how many kids are there per pound of aluminum
Answer:
160 cans for 5 pounds of aluminum
Step-by-step explanation:
what is the solution set of x+4/2x-1 <0
Answer: x=1/3
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
3x−1<0
Step 2: Add 1 to both sides.
3x−1+1<0+1
3x<1
Step 3: Divide both sides by 3.
3x/3 <1/3
x/1/3
Melanie purchases 6 basketballs and 2 volleyballs for $114. A volleyball cost her $3 less than a basketball. How much did each volleyball cost?
Answer:
a volleyball is $16.5
Step-by-step explanation:
6b+2v= 114
v=b-3
6b+2(b-3)= 114
6b + 2b - 6
8b - 6 = 114
8b = 108
b= 13.5
substitute b in
6(13.5) + 2v = 114
81 + 2v = 114
2v = 33
v= 16.5
Solve for x in the equation X2 - 10x+ 25 = 35.
o
X
<= 5+2.15
X=5+ 35
X = 10+ 2.15
X= 10+ 35
Given the perimeter is 180cm what is the length and breadth of the rectangle?
The rectangle can be made into a hollow cylinder with height 40cm and radius 1.910cm.
a) calculate the volume of this cylinder.
Answer:
41.91 is your answer right answer
When a system of linear equations has no solution the graph will
a - have parallel lines
b- be the same line
c- have intersecting lines
Answer:
A
Step-by-step explanation:
there is no intersection which means no solution...i dont knwo how to explain sorry
let x = -11/8 and y = -11/4 Which expression has a negative value? A. x + y B. x - y C. x . y D. x/y
Help ya girl out plsss
Answer: Scalane acute
Step-by-step explanation:
Answer:
Equilateral Acute.
Step-by-step explanation:
A triangle with 3 congruent angles is an equalateral triangle and all sides are acute
Please help me???.....
Answer:
40_ page 302
Step-by-step explanation:
mathematics teacher and she said that to me and happy holidays so we can get the text on
Answer:
im sry
Step-by-step explanation:
4. The speed limit is 45 miles per hour. Choose the metric speed limit that is higher than 45 miles per hour. 0 91 km per hour 64.1 km per hour O 64.1 per hour
PLSS I NEED IT NOW
Answer:
91 km per hour
Step-by-step explanation:
45 miles per hour is the same as 72 kilometers per hour (metric), so pick any value greater than 72 km per hour.
what is the value of x in the equation 6x + 3 +4x= 1/2 (9+10x)
Answer:
x=0.3
Step-by-step explanation:
6x+3+4x=1/2(9+10x)
10x+3=4.5+5x
5x=1.5
x=0.3
Answer:
x=0.3
Step-by-step explanation:
6x+3+4x=1/2(9+10x)
10x+3=4.5+5x
subtract 5x and 3 from both sides
5x=1.5
x=0.3
-3x + 7 = 1
what dose x represent
Answer:
the answer is x=3
Step-by-step explanation:
-3x=1-7
-3x=-6
-x=-6+3
-x=-3
x=3
ss of
3. In a class of 50 students, 40 % are girls. Find the number of girls and
number of boys in the class?
Solution:
Answer:
20 boys in the class
Step-by-step explanation:
40% of 50 is 20
If a sprinkler waters 1/20 of a lawn in 1/5 of an hour how much time will it take to water the entire lawn?
• 3/20 hour
• 1/4 hour
• 4 hours
• 5 hours
Answer:
4 hours
Step-by-step explanation:
Someone plz help been stuck on this question for the last 2 hours
Paul has $30,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 7% interest and part at 13% interest. How much does Paul need to invest in each option to make a total 11% return on his $30,000?
7% interest =$?
13% interest =$?
Answer:
7% interest = $10,00013% interest = $20,000Step-by-step explanation:
First find out what an 11% return on $30,000 is.
= 11% * 30,000
= $3,300
Use simultaneous equations.
Assume the amount to be invested in to make a 7% interest is x and the amount for a 13% interest is y.
0.07x + 0.13y = 3,300
x + y = 30,000
y = 30,000 - x
0.07x + 0.13 (30,000 - x) = 3,300
0.07x + 3,900 - 0.13x = 3,300
0.07x - 0.13x = 3,300 - 3,900
-0.06x = -600
x = -600 / -0.06
x = $10,000
y = 30,000 - x
= 30,000 - 10,000
y = $20,000
1.- Sea y = 2x + 1 ¿Cuál es el valor de "y cuando"x" es igual a 7?
a) 15
b)3
c) 5
2.- Sea y = 3x? - 7 ¿Cuál es el valor de y cuando"x" es igual a 7?
a) 150
b) 140
c) 130
Is the table linear or nonlinear?
X 0 1 2 3
Y 2 4 8 16
Answer:
It is linear
Step-by-step explanation:
The Y goes up by the same amount as the X (by 4 Y's per 1 X)
True or false: 30% of 750 Km=225 km
It's True True True True True True True
Someone help me out please.
Answer:
The answer should be 64.21 or 64
Step-by-step explanation:
Help this Helped
A map has a scale of 2.5 inches : 4 miles. If two cities are 6 inches away from each other on the map, how far apart are they in real life?
Answer:
14.4
Step-by-step explanation:
2.5 divided by 6 is 2.4
2.4 x 6 = 14.4
Ryan made a $3180 down payment on a car. The total cost of the car was $7500. He made 36 equal monthly payments to pay the car in full. How much did Ryan pay per month?
2x +5y = -7
7x + y = -8
Solve by substitution SHOW WORK!
Answer:
x = 1, y = -15
Step-by-step explanation:
7x + y = -8 ⇒ y = -7x-8
2x + 5y = -7
substitute -7x-8 for y:
2x + 5(-7x-8) = -7
2x - 35x - 40 = -7
-33x - 40 = -7
-33x = -33
x = 1
y = -7x-8 = -15
Ali spent a total of $65 at the grocery store. Of this amount, he spent $39 on fruit. What percentage of the total did he spend on fruit?
Answer:
He spent 60% on fruit
Step-by-step explanation:
Answer:
Step-by-step explanation:
65-39=26
26/100=0.26
HELP AGAIN I NEED IT BADLY
Answer:
A. 5b - w + 8
Step-by-step explanation:
3w + 6 - 4w + 3b + 2 + 2b
= 3w - 4w + 3b + 2b + 6 + 2
= -w + 5b + 8
= 5b - w + 8
=> A. 5b - w + 8
I need help please.
Answer:
b
Step-by-step explanation:
beacause 2x+60 thats the answer
which statement best describes the roots of f(x)=x^2-6x+25?
Answer:
permiteme veré en álgebra baldor
The roots of the equation f(x) = x² - 6x + 25 will be 3 - 4i and 3 + 4i.
What are the roots of the equation?Let the equation be ax² + bx + c = 0. Then the roots of the equation will be
[tex]\rm x = \dfrac{-b \pm \sqrt{b^2 - 4 a c }}{2a}[/tex]
The quadratic equation is given below.
f(x) = x² - 6x + 25
Compare both the equations, then the value of a, b, and c will be 1, -6, and 25, respectively.
Then the roots of the equation are given as,
[tex]\rm x = \dfrac{-(-6) \pm \sqrt{(-6)^2 - 4 \times 1 \times 25 }}{2 \times 1}\\x = \dfrac{6 \pm \sqrt{-64}}{2}[/tex]
Simplify the equation further, then we have
x = 3 ± 4i
The roots of the equation f(x) = x² - 6x + 25 will be 3 - 4i and 3 + 4i.
More about the roots of the equation link is given below.
https://brainly.com/question/12029673
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3m+n=10
5m-2n=2
what is the answer for this one
Answer:
m = 2
n = 4
Step-by-step explanation:
Ok so to solve this, you want to get it so there is only one variable and then solve that equation. To do this, you can start by doing:
3m + n = 10
multiply both sides by 2
6m + 2n = 20
now, in both of your equations you have 2n so you can add the two equations:
6m + 2n = 20
+ 5m - 2n = 2
11m = 22
divide both sides by 11
m = 2.
Now, plug this value into the original equation, 3m + n = 10:
3 * 2 + n = 10
6 + n = 10
subtract 6 from both sides
n = 4
ILL MARK U BRAINLEST Find the circumference of the circle. Use 3.14 for 1. Round to the nearest hundredth, if necessary.
is
9 in.
The circumference of the circle is about
inches.
1
Answer:
The answer is either 56.55in or 28.27
Step-by-step explanation:
This is the formula that I used
C=2πr
Circumference = 2·π·4.5 ≈ 28.27433 or
Circumference = 2·π·9 ≈ 56.54867
The answer can be either one. It depends on if 9 is the radius or the diameter of this circle. If 9 is the radius, then the answer would be 56.55in. If the radius isn't 9 but 9 is the diameter, then your radius would be 4.5 and the answer would be 28.27in.
Hope that helps :)
The circumference of the circle will be 56.52 inches.
The circumference of a circle can be found using the formula:
Circumference = 2πr
Where r is the radius of the circle, and π (pi) is a mathematical constant approximately equal to 3.14159.
If the radius of the circle is 9 inches, then we can substitute this value into the formula to find the circumference:
Circumference = 2π(9 inches)
Circumference = 18π inches
We can leave the answer in terms of π or approximate it using a decimal approximation for π. Using the value of π rounded to 3.14, we have:
Circumference ≈ 56.52 inches
Therefore, the circumference of a circle with a radius of 9 inches is approximately 56.52 inches or exactly 18π inches.
To know more about circumference follow
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