Answer:
[tex]x=\frac{1\pm i\sqrt{11}}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Algebra II
Imaginary Roots: √-1 = iStep-by-step explanation:
Step 1: Define Equation
4x² - 2x + 3 = 0
Step 2: Identify Variables
a = 4
b = -2
c = 3
Step 3: Solve for x
Substitute [Quad Formula]: [tex]x=\frac{2\pm\sqrt{(-2)^2-4(4)(3)} }{2(4)}[/tex]Evaluate Exponents: [tex]x=\frac{2\pm\sqrt{4-4(4)(3)} }{2(4)}[/tex]Evaluate Multiplication: [tex]x=\frac{2\pm\sqrt{4-48} }{8}[/tex]Evaluate Subtraction: [tex]x=\frac{2\pm\sqrt{-44} }{8}[/tex]Factor Radical: [tex]x=\frac{2\pm\sqrt{-1} \sqrt{44} }{8}[/tex]Simplify Radicals: [tex]x=\frac{2\pm 2i\sqrt{11} }{8}[/tex]Factor Numerator GCF: [tex]x=\frac{2(1\pm i\sqrt{11}) }{8}[/tex]Simplify: [tex]x=\frac{1\pm i\sqrt{11}}{4}[/tex]what percentage of his monthly budget does tyrone spend on car expenses
Answer:
the answer is 13%
Step-by-step explanation:
Katie bought 4 sweaters that each cost the same amount and 1 skirt that cost $20. the items she bought cost a total of 160$. write an equation to determine each cost of each sweater.
Answer:
160-20=140. 140/4=$35.
What is the probability that a point chosen at random will be in the shaded region?
O 17%
O 83%
O 36%
O 6%
(32 +1) + (5 + 7z) =
Help please
Answer: -5.428
Step-by-step explanation:
33 + 5 + 7z = 0
38 + 7z = 0
7z = -38
z = -38/7
help please!!!!!!!!
Please help. I really don't seem to understand this question.
Answer:
m3=15(8)+22=142
m1=19(8)-10=142
Both are equal so the answer is Yes they are parallel
2x2 + 3x - 5 = (2x + 5)(?)
please help whats the missing numbers
Answer:
(2x+5)(x-1)
Step-by-step explanation:
2x²+3x-5= 2x²+5x-2x-5=x(2x+5)-1(2x+5) = (2x+5)(x-1)
What is 2 13/18 - z = 1 19/36
Answer z= 43/36
Step-by-step explanation:
We have given,
2 13/18 - z = 1 19/36
Since 2 13/18 = 49/18 and 1 19/36 = 55/36
So we can write,
2 13/18 - z = 1 19/36
or 49/18 - z = 55/36
or 49/18 - 55/36 = z
or (98 -55)/36 = z
or 43/36 = z
Hence we got z = 43/36
Solve for x.
X + 10
12x - 50
x = [?]
Answer: x = 5
Step-by-step explanation:
A 5 pound tub of cottage cheese at n dollars per pound costs $10.25 .
Write an equation for the following word problem
Answer:
5n = $10.25
Step-by-step explanation:
We know that the tub is 5 pounds, and costs $10.25. We also know that n is in dollars per pound. Dollars per pound can be written as the product of dollars, divided by pounds, so we can plug that in being n = $10.25/5, next we want to make the equation contain an integer on both sides and not contain any fractions, so we multiply both sides by 5, resulting in 5n = $10.25
How would I graph y -1 =-5(x- 2)
Can someone please help me
Answer:
.
Step-by-step explanation:
Find the slope of the line that passes through the points (2, -5) and (3, -6)
Answer:
slope is -1
Step-by-step explanation:
slope is
m= (y2-y1) / (x2-x1) = -5+6 /2-3 = 1/-1 = -1
Which of the following situations are equal to 2? Select all that apply.
A) 75% of 3
B) 20% of 5
C) 10% of 20
D) 50% of 4
E) 25% of 8
If you answer this you will get 100 points and marked Brainlest.
Please don't put any random anwser.
Answer:
C, D, and E
Step-by-step explanation:
Hope this helps.
Happy New Year!!
Solve the system by substitution.
x + 6y = -2
-x= 3y - 10
Answer:
x = 22, y = -4
Step-by-step explanation:
x + 6y = -2 --- Equation 1
-x = 3y - 10 --- Equation 2
Equation 2 ×(-1): x = -3y + 10 --- Equation 3
Substitute x = -3y + 10 into Equation 1:
x + 6y = -2
-3y + 10 + 6y = -2
3y + 10 = -2
3y = -2-10
= -12
y = -12 ÷ 3
y = -4
Substitute y = -4 into Equation 3:
x = -3y + 10
x = -3(-4) + 10
= 12 + 10
x = 22
2y + ( 4x+ 7) + (2x+19)|
Answer:
[tex]2y + (4x + 7) + (2x + 19) \\ = 2y + (4x + 2x) + (19 + 7) \\ = 2y + 6x + 26 \\ = 2(y + 3x + 13)[/tex]
Someone, please answer this ASAP.... it's due today :(
At a fishery, the largest catches in August were of blackfin tuna, sailfish, blue marlin, and king mackerel. The fishery calculated the mean and standard deviation of the weights, in pounds, of each type of fish, as shown in the table. Which data set has the smallest spread?
Answer:
Blue marlin
Step-by-step explanation:
Please help me solve this...
can someone help me out please
PLZ HURRY IM BEING TIMED ALSO WILL GIVE BRAIN
Oksana is working to solve the equation 1 3 x = −1 4 x - 10.
1. Add 1 4 x to both sides: 1 4 x + 1 3 x = −10
2. Find a common denominator: 3 12 x + 4 12 x = −10
3. Combine the terms: 7 12 x = −10
What should she do next?
Answer:
Then she has to divide by 712 into both sides
Step-by-step explanation:
Answer: hope this helps
Step-by-step explanation:
the linear equation y = 400 + 50x represents the total cost, y , per hour, x , for a lawyer at a law firm. The lawyer charges a flat retainer fee and then charge per hour of work done. true or false The y-intercept of the line is 50.
True – The , y, -intercept of the line is 50.
The y-intercept represents the flat retainer fee.
True – The, y, -intercept represents the flat retainer fee.
False – The, y, -intercept represents the flat retainer fee.
The slope of the line is 400.
True – The slope of the line is 400.
False – The slope of the line is 400.
The slope represents the cost of work per hour.
True – The slope represents the cost of work per hour.
False – The slope represents the cost of work per hour.
Answer:
453
Step-by-step explanation:
because we multiply the value with the equation
Fine the equation of the line that is perpendicular to the given line and passes through the given point. Enter the right side of the equation as a single fraction. y=7x-1/4;(5,5)
The equation is y=
Please help it’s urgent! :)
Answer:
[tex]y=-\frac{4}{7} x+\frac{55}{7}[/tex]
Step-by-step explanation:
Change the given equation to slope-intercept to get [tex]y=\frac{7}{4}x-\frac{1}{4}[/tex]. When you multiply the slopes of perpendicular lines, you get -1. -1 divided by [tex]\frac{7}{4}[/tex] is [tex]-\frac{4}{7}[/tex]. The slope of the new line is then [tex]-\frac{4}{7}[/tex]. The perpendicular line passes through (5, 5) so you can have the equation[tex]5=-\frac{4}{7} (5)+b[/tex]. Simplifying gets [tex]b = \frac{55}{7}[/tex] . So now the final equation for the perpendicular line is [tex]y=-\frac{4}{7} x+\frac{55}{7}[/tex]
Meg and Tanner take a road trip together where they take turns driving. The ratio of the number of miles that Meg drives to the number of miles that Tanner drives is 4:3. If Meg drives 112 miles, what was the length of the trip?
Answer:
Step-by-step explanation:
[tex]\frac{Meg}{Tanner}[/tex] = [tex]\frac{4}{3}[/tex]
total dist. driven = dist. Meg drove + dist. Tanner drove
Meg = 112
Tanner = x or how far did Tanner drive?
[tex]\frac{112}{x}[/tex] = [tex]\frac{4}{3}[/tex]
[tex]\frac{3}{4}[/tex] * 112 = x
84 =x so Tanner drove 84 miles
total driven = 112 + 84
total driven = 196 :)
Solve the exponential equation for x 56^(3x-8)=1
Answer:
x=8 over 3
Step-by-step explanation:
look at picture correct answer gets brainlist
Answer:
option C is correct
4 degree polynomial with 4 terms
True or false plz help
Answer:
I THINK ITS FALSEStep-by-step explanation:
BECAUSE ITS WRONG
Answer:
i'mma go with false
i hope is right
if not sorry
Step-by-step explanation:
Only do 7. iii
I will mark you as brainliest.. I don't have time please fasttt
Answer:
Check my explanation
Step-by-step explanation:
(i) the area of the floor is 30m² (6m · 5m)
(ii) the perimeter of the floor is 22m (6m + 5m + 6m + 5m)
(iii) the area of the walls is:
24m² (for the 6m by 4m walls)
20m² (for the 5m by 4m walls)
88m² in total total
Three times Mary's age added to Beth's age is 34 years. Half of Mary's age minus Beth's age is 1 year. How old are Mary and Beth?
Answer:
It’s 15 and 17
Step-by-step explanation:
34-7x=2y
-13 -13
(15,17)
The function B gives the depth of the water, in inches, t minutes after Tyler began to fill the bathtub. What does B(9)=11 mean?
Answer:
B(9) = 11 means the depth of the water in the bathtub, 9 minutes after Tyler began to fill the bathtub is 11 inches
Step-by-step explanation:
Whereby the function is expressed as B(t) = d,
Where;
d = The depth of the water
Therefore, when we have B(9) = 11, by comparing with the general form of the function, B(t) = d, we have;
t = 9 = The time in minutes after Tyler began to fill the bathtub = 9 minutes
d = The depth of the water = 11 inches
Which gives the meaning of the equation, B(9) = 11 as the depth of the water in the bathtub, 9 minutes after Tyler began to fill the bathtub is 11 inches.
Someone help shawty out por favor
9514 1404 393
Answer:
AC/GI = BC/HI
Step-by-step explanation:
To make use of the SAS similarity theorem, an angle must be shown congruent, and the sides on either side of it must be shown proportional. Here, the congruent angles are ...
∠C ≅ ∠I
and the proportional sides are ...
AC/GI = BC/HI . . . . . . matches the last choice