Answer:
[tex]\displaystyle x=\frac{1\pm i\sqrt{5}}{6}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Algebra II
Imaginary Roots: √-1 = iStep-by-step explanation:
Step 1: Define
6x² = 2x - 1
Step 2: Rewrite
Subtract 2x on both sides: 6x² - 2x = -1Add 1 to both sides: 6x² - 2x + 1 = 0Step 3: Identify Variables
a = 6
b = -2
c = 1
Step 4: Solve for x
Substitute [QF]: [tex]\displaystyle x=\frac{2\pm\sqrt{(-2)^2-4(6)(1)} }{2(6)}[/tex]Exponents: [tex]\displaystyle x=\frac{2\pm\sqrt{4-4(6)(1)} }{2(6)}[/tex]Multiplication: [tex]\displaystyle x=\frac{2\pm\sqrt{4-24} }{12}[/tex](Square Root) Subtract: [tex]\displaystyle x=\frac{2\pm\sqrt{-20} }{12}[/tex]Factor: [tex]\displaystyle x=\frac{2\pm \sqrt{-1} \sqrt{20} }{12}[/tex]Simplify: [tex]\displaystyle x=\frac{2\pm 2i\sqrt{5} }{12}[/tex]Factor GCF: [tex]\displaystyle x=\frac{2(1\pm i\sqrt{5} )}{12}[/tex]Simplify: [tex]\displaystyle x=\frac{1\pm i\sqrt{5}}{6}[/tex]You have 3/5gallon of juice and drink 1/3 gallons how much is left
Answer:
4/15 gallons of juice
Step-by-step explanation:
Total gallon you have = 3/5gallons
Amount consumed = 1/3 gallons
Amount left = Total gallons + Amount consumed
Amount left = 3/5-1/3
Find the LCM
amount left = (3)(3)-5(1)/15
Amount left = (9-5)/15
Amount left = 4/15
Hence 4/15 gallons of juice is left
EMERGENCY, EMERGENCY, I WILL GIVE BRAINLIEST
[tex]\frac{1}{4} (2x^{2}-12) = 15[/tex]
Solve for x, do ur steps!!!!!!
24, which is 10% of the money they wanted to raise
Answer:
$2,000
Step-by-step explanation:
Let the amount of money they want to raise be $20,000.
We are going to look for 10% of $20000 as shown:
10% of 20,000 = 10/100 * 20,000
= 0.1 * 20,000
= 2,000
Hence the 10% of the money they want to raise is $2,000
Note the the money the amount of money they want to raise was assumed.
Plis help me thank you first one to reply gets brainless
1: 0.46
2:0.4
3: -0.6
4: -0.85
5: 3.34
6: -1.77
7: 34/99
8: 3.16
9: -9/10
10: -17/20
11: -19/5
12: 2.3
13: 4/13
14: 8 7/11
translate to algebraic: Two times rhe sum of x and 3
The answer is 2(x+3)
hope it helps!
Answer:
2x + 6
Step-by-step explanation:
2(x +3)
2x +6
multiply x by 2=2x
multiply 3×2=6
2x +6
the relationship between time and distance remaining on a 3 mile walk for someone walking at steady rate of 2 miles per hour
A square has a perimeter of 36 millimeters.
What is the area of the square?
Answer:
A=81
Step-by-step explanation:
Answer:
81
Step-by-step explanation:
36/4=9
9*9=81
[tex]f(x) = \frac{x}{7} f(7) =[/tex]
Step-by-step explanation:
f(x) = x/7
When x = 7, f(7) = 7/7 = 1.
Answer:
f(7) = 1
Step-by-step explanation:
We are given:
[tex]f(x)=\frac{x}{7}[/tex]
and we need to find f(7)
For finding f(7) we will put x = 7 in the given term [tex]f(x)=\frac{x}{7}[/tex]
Putting x = 7
[tex]f(x)=\frac{x}{7}\\Put\:x=7\\f(7)=\frac{7}{7}\\f(7)=1[/tex]
So, f(7) = 1
What is the value of x in the equation -6 + x = -1? (5 points)
1) -5
2) -7
3) 7
4) 5
Answer:
x = 5
Step-by-step explanation:
This is a simple algebra equation, you can rewrite this equation to look like this x - 6 = -1. Add 6 on both sides to get your x-value which is 5.
Answer:
answer 4 is right, x = 5
Step-by-step explanation:
-6 + x = -1
i) move constants to the right-hand side and change its sign
x = -1 + 6
ii) calculate the sum
x = 5
Are these correct????
Answer:yes it is right
Step-by-step explanation that’s right
Answer: pretty sure
Step-by-step explanation:
Please give me a brainliest even if im wrong im strugling please
help me with my math for brainiest:)
1.a-6=13
a-6+6=13+6
a=19
2. x+4=-14
x+4-4=-14-4
x= –18
3.-10.1=w+5.3
-10.1-5.3=w+5.5-5.3
w= -15.4
4.-9.3=d- 3.4
-9.3+3.4=d -3.4 +3.4
d=-9.3+3.4
d= -5.9
5.q+5/9=5/6
q+5/9-5/9=5/6-5/9
q=5/18
I’ll love you forever if you help me with this ASAP ;)
Answer:
A, C, E
Step-by-step explanation:
0.6 + 15b + 4 = 25.6
Let's solve the original equation for b.
15b + 4.6 = 25.6
15b = 21
b = 21/15 = 7/5
A.
15b + 4 = 25
15b = 21
b = 21/15 = 7/5
Equivalent
B.
15b + 4 = 25.6
0.6 was subtracted from the left side but not from the right side of the original equation.
Not equivalent
C.
3(0.6 + 15b + 4) = 76.8
Since 76.8 = 3 * 25.6, this equation was obtained by multiplying both sides of the original equation by 3.
Equivalent
D.
15b = 25.6
4.6 was subtracted from the left side of the original equation, but not from the right side.
Not equivalent
E.
15b = 21
b = 21/15 = 7/5
Equivalent
Answer: A, C, E
The mean of the following frequency distribution is 25.2. Find the missing frequency x.
Class
0 - 10
10 - 20
20 – 30
30 – 40
40 - 50
Frequency
8
x
10
11
9
Answer:
Solution:-
Frequency Distribution Frequency Mid values F*M
0 - 10 8 5 40
10 - 20 x 15 15x
20 - 30 10 25 250
30 - 40 11 35 385
40 - 50 9 45 405
_____________________________________________________
Σf = 38+x Σfm = 1080+15x
______________________________________________________
Given Mean = 25.2
Mean = Σfm/Σf
25.2 = 1080+15x/38+x
25.2 × (38+x) = 1080+15x
957.6+25.2x = 1080+15x
25.2x - 15x = 1080 - 957.6
10.2x = 122.4
x = 122.4/10.2
x = 12
Missing frequency = 12 Answer
Hope it helps.
If you have any query, feel free to ask.
Answer the following problem and simplify the answet
33/10 x 4/11=
Answer:
33/10 × 4/11=6/5
3.3 ×0.3636363636=1.2
Answer:
Answer is 1.2
Step-by-step explanation:
33/10 x 4/11= 6/5
6/5 simplified is 1.2
Which statement describes the solutions of this equation?
I + 2
. 2 + = 1
OA.
The equation has two valid solutions and no extraneous solutions,
OB.
The equation has no valid solutions and two extraneous solutions.
O C.
The equation has one valid solution and no extraneous solutions.
OD.
The equation has one valid solution and one extraneous solution.
Step-by-step explanation:
x/(x + 2) + 1/x = 1
x² + (x + 2) = x(x + 2)
x² + x + 2 = x² + 2x
x = 2.
Since x = 2 neither makes (x + 2) or x become 0, there are no extraneous solutions.
The answer is "The equation has 1 valid solution and no extraneous solutions." (C)
The true statement is (c) the equation has one valid solution and no extraneous solutions
The equation is given as:
[tex]\frac{x}{x + 2} + \frac 1x = 1[/tex]
Take LCM
[tex]\frac{x^2 + x + 2}{x(x + 2)} = 1[/tex]
Expand the numerator
[tex]\frac{x^2 + x + 2}{x^2 + 2x} = 1[/tex]
Cross multiply
[tex]x^2 + x + 2 = x^2 + 2x[/tex]
Subtract x^2 from both sides
[tex]x + 2 = 2x[/tex]
Collect like terms
[tex]2x -x = 2[/tex]
[tex]x = 2[/tex]
Hence, the equation has one valid solution and no extraneous solutions
Read more about solutions of equations at:
https://brainly.com/question/1397278
+ 2.6.3 Qulz Similar Triangles Question 10 of 10 With similar triangles, the ratios of all three pairs of corresponding sides are equal. O A. True O B. False
Answer:
A True
Step-by-step explanation:
tell me if I'm worng
True, The ratios of all three pairs of corresponding sides are equal.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Two triangles are Similar.
Now, By definition of similarity of the triangle, we get;
The ratios of all three pairs of corresponding sides are equal.
Thus, The given statement is true.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ7
HELP PLEASEEE ASAP WILL GIVE. BRAINLIST
Answer:
width = 2x + 1
Step-by-step explanation:
A = lw
A = 10x² + 5x = 5x(2x + 1) = lw ⇒ w = 2x + 1
Solve the system of equations: y = 2x - 5, y=x^2- 5
A. (0, -5) and (2, - 1)
B. (0,5) and (2, 2)
C. (-1,-4) and (3, 4)
D. (-1.-7) and (4,3
Answer:
A
Step-by-step explanation:
both equation is y so
2x - 5 = x² - 5
2x = x²
0 = x² - 2x
0 = x(x-2)
x = 0
x = 2
for x = 0
y = 2x - 5
y = 0 - 5
y = -5
(0,-5)
for x = 2
y = 2x - 5
y = 2(2) - 5
y = -1
(2,-1)
-3/7+5/2 whats the answer
??
Answer:
29/14
Step-by-step explanation:
Hello guys, plz help me with this question ASAP! Plz show the working, THANK YOU BROTHER
Answer:
5.5 min
Step-by-step explanation:
At time t=0 you have 72 grams
at time t = 22 min you have 4.5 grams.
Now
4.5/72 = (1/2)^(t/half-life)
and t=22, so
4.5/72 = (1/2)^(22/half-life)
taking log of both sides:
log(4.5/72)=(22/half-life)log(1/2)
solving for half-life gives half-life = 11/2 = 5.5min
*worth 15 pts*
what is .5=2x-6.5 plz show work
Answer:
5=2x-6.5 +6.5
11.5=2x ÷2
5.75=x
Step-by-step explanation:
prove me wrong
Answer:
x = 3.5
Step-by-step explanation:
step 1: add 6.5 to each side; 7 = 2x
step 2: divide each side by 2
x = 7/2 or 3.5
Lily says that (2+i)" is a complex number for every positive integer value of n. Explain how you
know Lily is correct.
B is the midpoint of line AC. Which statement best describes the relationship between triangles ABD and CBD?
Answer:
Triangles ABD and CBD are congruent by the SSS Congruence Postulate
Step-by-step explanation:
AB = CB
AD = CD
and BD is the common side.
The statement that best describes the relationship between triangles ABD and CBD is 'Triangles ABD and CBD are congruent by the SSS Congruence postulate'
What are similar triangles?"Two triangles are similar when their corresponding angles are equal and corresponding sides are in equal proportion."
What are congruent triangles?"Two triangles are congruent if their corresponding sides are equal and corresponding angles are equal in measure."
What is SSS congruence postulates?"Two triangles are congruent if all three sides of a triangle are congruent to corresponding three sides of other triangle."
What is SSS similarity postulates?"Two triangles are similar if all the three sides of a triangle are in proportion to the three sides of another triangle."
What is SAS similarity postulates?"Two triangles are similar if the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle between the two sides in both the triangle are equal."
What is SAS congruence postulates?"Two triangles are congruent if two sides and the angle between these two sides of one triangle are congruent to the corresponding two sides and the included angle of a second triangle."
For given question,
We have been given triangles ABD and CBD.
B is the midpoint of line AC
⇒ AB = BC
For triangles ABD and CBD,
side AB = side CB ............(since, B is the midpoint of line AC)
side BD = side BD .............(common side)
side AD = side CD ............(measures 15 units each)
So, by SSS postulates of triangle congruence triangles ABD and CBD are congruent triangles.
Therefore, the statement that best describes the relationship between triangles ABD and CBD is 'Triangles ABD and CBD are congruent by the SSS Congruence postulate'
The correct answer is option (a)
Learn more about SSS postulate of triangle congruence here:
https://brainly.com/question/1593616
#SPJ2
If a right triangle has a side of length 3 and a hypotenuse of length 9, what is the length of the other side
Answer:
Step-by-step explanation:
in a right triangle a^2+b^2=c^2,
where a and b are the legs
where c is the hypothenuse
9^2= b^2+3^2
81-9=b^2
b^2=72
b=8.48
Answer:
Step-by-step explanation:
Givens
a = ?
b = 3
c = 9
Formula
a^2 + b^2 = c^2
Solution
a^2 + 3^2 = 9^2
a^2 + 9 = 81
a^2 = 81 - 9
a^2 = 72
Now the tricky part. Are you required to give the exact answer which is
a = √72 = 6√2
or should you give
a = √72 = 8.49
y=-4/5x+7 in general form
Please answer quickly! ;)
Answer:
In order to graph y=%284%2F5%29%2Ax-7 we only need to plug in two points to draw the line
So lets plug in some points
Plug in x=0
y=%284%2F5%29%2A%280%29-7
y=0%2F5-7 Multiply
y=-35%2F5 Add
y=-7 Reduce
So here's one point (0,-7)
Now lets find another point
Plug in x=5
y=%284%2F5%29%2A%285%29-7
y=20%2F5-7 Multiply
y=-15%2F5 Add
y=-3 Reduce
So here's another point (5,-3). Add this to our graph
Now draw a line through these points
So this is the graph of y=%284%2F5%29%2Ax-7 through the points (0,-7) and (5,-3)
So from the graph we can see that the slope is 4%2F5 (which tells us that in order to go from point to point we have to start at one point and go up 4 units and to the right 5 units to get to the next point) the y-intercept is (0,-7)and the x-intercept is (8.75,0) ,or (35%2F4,0)
We could graph this equation another way. Since b=-7 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,-7).
So we have one point (0,-7)
Step-by-step explanation:
please help, i will mark you brainliest :))
Answer:
0.2
Step-by-step explanation:
find KL round to nearest tenth
9514 1404 393
Answer:
KL ≈ 5.3
Step-by-step explanation:
JL/JM = tan(51°) ⇒ JL = JM×tan(51°)
KL/JL = cos(72°) ⇒ KL = JL×cos(72°) = JM×tan(51°)×cos(72°)
KL = 14·tan(51°)·cos(72°) ≈ 5.3
write as a product: ac^4-c^4+ac^3-c^3
I ran out of time and it erased my work. Sorry.
Write the equation in standard form.
y - 2 = -(x +4)
Answer:
x + y = - 2
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y - 2 = - (x + 4) ← distribute by - 1
y - 2 = - x - 4 ( add x to both sides )
x + y - 2 = - 4 ( add 2 to both sides )
x + y = - 2 ← in standard form
What is the solution to his system of linear equations? Y-x=6. Y+x=-10
Answer:
Hi
Step-by-step explanation: