Solve the equation by completing the square
3s^2+8s=2s-9
S=
S=
I need this to be answer ASAP and with a step by step explanation please !
Answers
Answer:
x = - 1 ± i[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given
3s² + 8s = 2s - 9 ( subtract 2s - 9 from both sides )
3s² + 6s + 9 = 0
To complete the square
The coefficient of the s² term must be 1, so factor out 3 from 3s² + 6s
3(s² + 2s) + 9 = 0
add/subtract ( half the coefficient of the s- term )² to s² + 2s
3(s² + 2(1)s + 1 - 1) + 9 = 0
3(s + 1)² - 3 + 9 = 0
3(s + 1)² + 6 = 0 ( add 6 to both sides )
3(s + 1)² = - 6 ( divide both sides by 3 )
(s + 1)² = - 2 ( take the square root of both sides )
s + 1 = ± [tex]\sqrt{-2}[/tex] = ± i[tex]\sqrt{2}[/tex] ( subtract 1 from both sides )
s = - 1 ± i[tex]\sqrt{2}[/tex]
Thus
s = - 1 + i[tex]\sqrt{2}[/tex] , s = - 1 - i[tex]\sqrt{2}[/tex]
Related Questions
Jeff's father is planning to open a savings account to pay for Jeff's college education. He has found a bank that will pay 5 percent interest compounded daily. How much will he need to deposit initially so that in 14 years the balance will be $199,000?
Answers
Answer:
P = $183.14
Step-by-step explanation:
Given:
Rate of interest = 5% daily =0.05
Number of year = 14
Balance = $199,000
Computation:
Assume;
Number of days in a year = 365
199,000 = p[1+(0.05/365)]¹⁴⁽³⁶⁵⁾
199,000 = p[1+(0.001369)⁵¹¹⁰
199,000 = p[1086.59]
P = $183.14
What is the value of |5| - | -5| - (-5)? The solution is
Answers
Answer:
5
Step-by-step explanation:
when we simplify it we get 5-5+5 which equals 5
There are 40 marbles in a bin and 25% of the marbles are red how many in the bin are red
Answers
25% of 40=10
Answer:
10 marbles
Step-by-step explanation:
25% * 40= 1000
1000/100=10
=10 marbles
It costs $7.75 to enter an arcade and $0.25 to play an arcade game. You have $8.25. Write an
equation that represents the number g of games you can play.
An equation is = 8.25.
Answers
Answer:
0.25g+7.75 less or equal to 8.25
Step-by-step explanation:
Answer:
The equation can be written as 7.75+0.25g=8.25 and in this case g would represent 2
Step-by-step explanation:
х
(a) In the scale model, the length of the table is 9
centimeters. What is the length of the real table?
inches
Answers
Answer:Use the map of Maine to estimate the distance between the towns of China and New ... Since there are 4.5 centimeters between China and New Sweden, we can use a ... The scale model is a model of an object with dimensions that are in ... The child's picnic table is 22 inches tall, and the adult picnic table is 33 inches tall.
Step-by-step explanation:
Solve the inequality. Graph the solution.
d+12<19
The solution is
Answers
Answer:
d<7
Step-by-step explanation:
Help guys, I’m sure it’s easy for y’all
Answers
Answer:
(x, y) -------- ( -x,-y)
Rule : Rotation center (0,0) , angle of rotation 180° or -180°
Step-by-step explanation:
The vertices of the object and image have coordinates at ;
D(-4,2), --------D'( 4,-2 ),
E (-1,3), --------E'( 1,-3 ),
F (-1,-3),--------F'(1,3),
G (-3,-4),------G'( 3,4 ),
You notice that after the rotation ;
( x, y )-------change to (-x,-y),
This rule is rotation center origin angle 180°
A taxi hurries with a constant speed of 38 miles per hour. How long will it take to travel a distance of 95 miles? O A. 40 minutes B. 13 minutes OC. 2.5 hours OD. 1.5 hours
Answers
95 miles/x h = 38 miles/h
x = (95 miles/h)/(38 miles) = 2.5 hours
Does the point (8,0) lie on the line represented by 3x + 2y = 16?
O True
False
Answers
Answer:
false
Step-by-step explanation:
(0,8) is on the line, not (8,0) :)
A function is graphed below.
Which of the following represents the range of the function?
Answers
Answer:
el ranho de algo que esm ansgwne
Quadrilateral CARD is similar to quadrilateral SNOW.
4 mm
13 mm
15 mm
6 mm
Sim
What is the length of SW in millimeters?
Answers
Answer:
13 I think if i´m right please mark me brainliest please thank you and have a great day
Step-by-step explanation:
y ≥ 12x – 1
y < 43x – 2
Answers
Answer:
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.
Step-by-step explanation:
Use the equation and given point to answer the questions below. The equation of line a is y=12x−1, and it passes through point (6,2).
Identify a diameter of circle E.
Answers
Answer: B) HI
Step-by-step explanation:
Solve the equation and determine how many solutions for the equation.
4c-20=-20+4c
Answers
Answer:
16c
Step-by-step explanation:
Profit is the amount of money that remains after all expenses of a project have been paid. The year has just ended, and Ajax Construction's owner is anxious to find out if the company had a profitable year. The company was awarded five contracts totaling $7,435,000. The costs associated with each project were: Project 1: $1,245,000 Project 2: $985,689 Project 3: $1,723,000 Project 4: $2,567,054 Project 5: $633,768 How much profit did the company earn?
Answers
Answer:
the Profit earned by the company is $280,489
Step-by-step explanation:
Total Cost of 5 projects awarded = $7,435,000
Cost of Project 1 = $1,245,000
Cost of Project 2 = $985,689
Cost of Project 3 = $1,723,000
Cost of Project 4 = $2,567,054
Cost of Project 5 = $633,768
We need to find the profit earned by the company.
First we need to find Total cost spent on all 5 projects.
It can be found by adding cost spent on all projects.
Total cost spent on all 5 projects = Cost of Project 1 + Cost of Project 2 + Cost of Project 3 + Cost of Project 4 + Cost of Project 5
Total cost spent on all 5 projects = $1,245,000+ $985,689 + $1,723,000+ $2,567,054 + $633,768
Total cost spent on all 5 projects = $7,154,511
Now we can calculate profit earned using formula:
Profit earned = Total Cost of 5 projects awarded - Total cost spent on all 5 projects
Profit earned = $7,435,000 - $7,154,511
Profit earned = $1,280,489
So, the Profit earned by the company is $280,489
Sales tax is ,
to the price
Answers
Sales tax is a percentage of the sale price of an item that is then added on to the total price of the item.
Example:
let's say you are buying an item priced at $10.00 and the sales tax rate is 6%. Sales tax rates can vary from state to state and even within counties or cities.
Heeeeeeelp pleaaaaaaseeee
Answers
How many moles are in 4.23 x 1024 formula
units of NaCl
Answers
Answer:
mol Fe3O4 6.022 x 1023 formula units Fe3O4 = 1.20 x 1024 formula units Fe3O4. 1 mol ... a-How many moles of sodium chloride does the can of salt contain?
Step-by-step explanation:
There are approximately 7.035 moles of NaCl in 4.23 x 10²⁴ formula units of NaCl.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
An expression is 4.23 x 10²⁴
To determine the number of moles of NaCl in 4.23 x 10²⁴ formula units of NaCl:
We need to use Avogadro's number, which is defined as the number of particles (such as atoms, molecules, or ions) in one mole of a substance. Avogadro's number is approximately 6.022 x 10²³ particles per mole.
To convert the given number of formula units of NaCl to moles, we divide by Avogadro's number:
Number of moles of NaCl = (4.23 x 10²⁴ formula units of NaCl) / (6.022 x 10²³ formula units/mol)
Number of moles of NaCl = 7.035 moles (rounded to three decimal places)
Therefore, the required value is 7.035 moles.
To learn more about multiplication;
https://brainly.com/question/19634536
#SPJ2
Which fraction and decimal forms match the long division problem? A. B. C. D.
Answers
Answer:
C 4/15 and 0.266 repeating
Step-by-step explanation:
I used a calculator
m+x=n- p , for x
A) X=-p+n+m
B) x=-m+n-p
C) x=m- n + p
D) x=-m-n+p
Answers
Answer:
x = n - m - p
Step-by-step explanation:
Solve m+x=n- p for x.
Start by subtracting m from both sides. This isolates x as desired:
m + x = n - p
-m = -m
--------------------
x = n - m - p
PLZZZ HELP I NEED NOTE ABOUT UNDERSTANDING PERCENTS ON EDGE2020
50 POINTS AND BRAINLIEST FOR FIRST ANSWER
Answers
Answer:
A.
Step-by-step explanation:
^^^^::;:;;^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Number 15. Solve for x
Answers
112 + 31x = 360
-112 -112
31x = 248
/31 /31
x = 8
Solve the following equation to determine the value of x: 3x + (x + 10) + 5x + (2x + 2) = 56
Answers
Answer:
I think x = 4.
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x + x +10 + 5x + 2x + 2 =56
(3x + x + 5x + 2x) + (10 + 2) = 56 (Combine Like Terms)
11x + 12 = 56
11x + 12 = 56
Step 2: Subtract 12 from both sides.
11x + 12 − 12 = 56 − 12
11x = 44
Step 3: Divide both sides by 11.
11x/11 = 44/11
x = 4
What’s is the slope?
Answers
Answer: 1/2
Step-by-step explanation:
y=1/2x-3
Which number has a 3 that is 1/10 the value of the 3 in 14.37 ?
Answers
Answer:
0.3
Step-by-step explanation:
-10x + 3y = 34
y = -8x
Answers
Answer
Step 1: Simplify both sides of the equation.
−10x + 3(−8x) = 34
−10x + −24x = 34
(−10x + −24x) = 34 (Combine Like Terms)
−34x=34
Step 2: Divide both sides by -34.
x=−1
Answer:
x=−1
So the pair of coordinates for your answer is (-1, 8)
PLEASE HELPPPPP
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $208.34
Markdown: 72%
what is the sale price
Answers
Hi if i have 8,000 saving for 12,000 how much more do i need?
Answers
Answer: 4,000
Step-by-step explanation: 12,000 - 8,000 = 4,000 Hope it helped!! :)
Imagine that you are of traditional college age and you apply for a direct marketing position, and in the interview for the position, you are told that you look to young for the position. You have been discriminated against. This is a violation of:___________
Answers
Answer:
when grounds intersect.
Step-by-step explanation:
Analyzing the information related to the question above, it is possible to identify that the candidate for the direct marketing position suffered a violation when the grounds intersect.
It is correct to state this on the basis that the candidate was of traditional university age, but in the interview it is said that young people are sought for the position.
This type of discrimination can occur when the individual is discriminated against due to overlapping of several reasons, in the case of the candidate he was seen as a person older than he appeared to be, even though he was a requested age.
Write an equation in slooe intercept form for the line that is parallel to y=-4x-3 and passes through the point (-2, 4).
Answers
Answer:
y=-4x-4
Step-by-step explanation:
m=-4
point(-2,4)
y-4 = -4 (x- (-2) )
y-4 = -4 (x+2)
y-4 = -4x -8
y = -4x -4
Step-by-step explanation:
we are going to use quadratic equation for this particular question . so now we are going to change the signs i.e from negative to positive or from positive to negative(-2 will turns to +2) nd +4 will turns to-4)
therefore, (x+2)(x-4) then we na expand the bracket x(x-4)+2(x-4)
x square -4x+2x-8
therefore the equation is nothing but x square-2x-8
