Which of the following is equivalent to 0 equals 3 x squared minus 12 x minus 15 when completing the square?

Answers

Answer 1
Answer:

x = 5, -1

Step-by-step explanation:

0 = 3x^2 - 12x - 15 or

3x^2 - 12x - 15 = 0

By solving for x, use the Quadratic Formula.

… x = 5 and/or -1
Answer 2

After completing the square the quadratic equation [tex]3x^{2} -12x-15=0[/tex] is equivalent to [tex](x-2)^2=3^2[/tex].

What is a quadratic equation?

"It is a polynomial equation with degree two."

What is completing the square method?

"It is a method that is used for converting a quadratic expression of the form [tex]ax^2 + bx + c[/tex] to [tex]a(x - h)^2 + k[/tex] "

For given example,

We have been given a quadratic equation.

[tex]3x^{2} -12x-15=0[/tex]

First we divide above quadratic equation by 3,

[tex]x^{2} -4x-5=0\\\\x^2-4x=5[/tex]                             ................(i)

Now for completing the square first find [tex](\frac{-b}{2a} )[/tex]

[tex]\frac{-b}{2a}\\=\frac{-(-4)}{(2)(1)}\\\\ =\frac{4}{2}\\\\ =2[/tex]

Add [tex](\frac{-b}{2a} )^2[/tex] on both the sides of equation (i),

[tex]x^{2} -4x+4=5+4\\\\(x-2)^2=9\\\\(x-2)^2=3^2[/tex]

Therefore, after completing the square the quadratic equation [tex]3x^{2} -12x-15=0[/tex] is equivalent to [tex](x-2)^2=3^2[/tex].

Learn more about completing the square here:

https://brainly.com/question/4822356

#SPJ2


Related Questions

two cars started to move towards each other at the same time. the speed of the first car was twice the speed of the second car. they met in two hours. if the distance traveled altogether was 300 km find the rates of the cars.

Answers

Answer:

Step-by-step explanation:

Let v be the speed of the slower car

2v is the speed of the faster car

In 2 hrs, the slower car travels a distance of

2 hr(v km/hr) = 2v km

In 2 hrs, the faster car travels a distance of

2 hr(2v km/hr) = 4v km

2v + 4v = 300

6v = 300

 v = 50 km/hr

2v = 100 km/hr

What is the volume of a pyramid below?



600 cm^3

750 cm^3

900 cm^3

1800 cm^3

Answers

Answer: 600 cm³

Step-by-step explanation:

Volume of square pyramid = (1/3) · b² · h

b = base edge length = 10 cmh = height = 18 cm

Therefore, the volume can be calculated as

[tex]\frac{1}{3} *10^{2}*18=\frac{1}{3}*100*18=\frac{1}{3}*1800=\frac{1800}{3}=600[/tex]

Answer

900

Step-by-step explanation:

it is pyramid and finding its volume we use the 3 components that is length, with and the height

1/2 base x width x height

5 x 18 x 10 = 900cm³

Find the value of x to the nearest tenth of a degree.
20.4
21.8
42.9
68.2

Answers

Answer:

Answer is 20.4 .........

The answer is 20.4 because i also got it right

Simplify expression 1 1/2

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

Hey there!

[tex]\huge\boxed{\mathsf{1\dfrac{1}{2}}}}\\\huge\boxed{\mathsf{\rightarrow \dfrac{1\times1+2}{2}}}\\\\\\\huge\boxed{{1\times1+2}}\\\huge\boxed{= 1+2}\\\huge\boxed{=3}\\\\\\\huge\boxed{\rightarrow \mathsf{\dfrac{3}{2}}}\\\\\\\huge\boxed{\textsf{Answer: }\bf \dfrac{3}{2}}\huge\checkmark\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Tuition. The tuition at a community college increased from $2,500 to $2,650 per semester. What was the percent of increase in the tuition?​

Answers

Answer:

6 percent increase

Step-by-step explanation:

2650 divided by 2500 gives you 1.06 which means if 2500 is 100 percent 2650 would be 106 percent so the answer is a 6 percent increase

Answer:

6%

Step-by-step explanation:

another way of doing this type of calculation is...

NEW-OLD  =  2650-2500  = 150     = .06 = 6%

   OLD                2500            2500

A football team is currently number 19 in overall offence. They have gotten 1,940 yards, while the number one
offence has received 2,728 yards. They've both played four games. How many more yards per game is the top
team receiving?

Answers

Answer:

20

that's grbrhrhbrhshsheheehebbebdbshwjwwmkwkw

Answer:

197 yards per game

Step-by-step explanation:

divide both values by 4 and subtract the value of the losing team from the value of the winning team to get your answer.

what is a cell and why it is necessary​

Answers

CELL

Cells are the basic building blocks of living things. The human body is composed of trillions of cells, all with their own specialised function. Cells are the basic structures of all living organisms.

IMPORTANCE

Cells provide structure for the body, take in nutrients from food and carry out important functions.

I HOPE THIS WILL HELP YOU IF NOT THEN SORRY

HAVE A GREAT DAY :)

Question 3 (5 points)
Draw a right isosceles triangle.

Answers

I drew it so here’s an example

Answer:

Step-by-step explanation:

Vẽ góc vuông. - Trên hai canh góc vuô dùng thước thước có chia khoảng vẽ hai đoạn thẳng bằng nhau có chung một điểm và nối hai điểm còn lại.

What is the inverse of the function g (x) = 5 (x - 2)

Answers

Answer:

g − 1 ( x ) =  x/ 5 +  2

Step-by-step explanation:

See the pic for solutions :)

Water is flowing into a tank at a rate of 20 cm3/min. At the start, there is 250 cm3 of water in the tank.
(i) How much water will be in the tank after 30 minutes?
(ii) Find the time when there is 1210 cm3 of water in the tank.

Answers

Answer:

i) 410 cm³

ii) 48 min

Step-by-step explanation:

we start with 250 cm³.

and then we fill in 20 cm³ per minute.

i)

after 30 minutes we have

250 + 8×20 = 250 + 160 = 410 cm³

ii)

how long (how many minutes) does it take to reach 1210 cm³ in the tank ?

well, first we subtract the start amount (250).

and then we see how often 20 cm³ will "fit" into the remainder. and then we know how many minutes the water has to run.

1210 - 250 = 960 cm³

so, the incoming water needs to reach 960 cm³ to have a total of 1210 cm³.

and

960 cm³ / (20 cm³ / min) = 960 cm³ min / 20 cm³ =

= 960 min / 20 = 48 min

One month Kaitlin rented 2 movies and 5 video games for total of $34. The next month she rented 8 movies and 3 video games for total of $51. Find the rental cost of each movie and each video game.

Answers

Answer:

A movie is $4.50 and a video game is $5

Step-by-step explanation:

Create a system of equations where m is the cost of each movie and v is the cost of each video game:

2m + 5v = 34

8m + 3v = 51

Solve by elimination by multiplying the top equation by -4:

-8m - 20v = -136

8m + 3v = 51

Add these together and solve for v:

-17v = -85

v = 5

So, a video game is $5. Plug in 5 as v into one of the equations, and solve for m:

2m + 5v = 34

2m + 5(5) = 34

2m + 25 = 34

2m = 9

m = 4.5

A movie is $4.50 and a video game is $5

One time Maria took 27 minutes to walk 1.8km to school. She left home at 07:48 . Write down the time Maria arrived at school

Answers

Answer:

8:15

Step-by-step explanation:

the time would be 8:15 7:48 + 27 = 8:15

The Demand function for a product is given by:

D(q) = - 0.0003q^2 - 0.04q + 23.56

where q is the number of units sold and D(q) is the corresponding price per unit, in dollars. What is the average rate of change of Demand between 40 and 175 units sold?

Answers

Answer:

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

Step-by-step explanation:

Average rate of change:

The average rate of a function f(x) in an interval [a,b] is given by:

[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]

In this question:

[tex]D(q) = -0.0003q^2 - 0.04q + 23.56[/tex]

What is the average rate of change of Demand between 40 and 175 units sold?

[tex]a = 40, b = 175[/tex]. So

[tex]D(40) = -0.0003*40^2 - 0.04*40 + 23.56 = 21.48[/tex]

[tex]D(175) = -0.0003*175^2 - 0.04*175 + 23.56 = 7.3725[/tex]

So

[tex]A = \frac{f(b) - f(a)}{b - a} = \frac{7.3725 - 21.48}{175 - 40} = -0.1045[/tex]

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

A patient consumes 2,000 calories of which 1200 calories were from carbohydrates. What percent of calories were from carbohydrates? Round the answer to the nearest integer.

Answers

Answer:

60%

Step-by-step explanation:

1200/2000=.6 or 60%

60%of calories were from carbohydrates.

What is percentage?

a relative value that represents one tenth of any amount. One percent (symbolized as 1%) is equal to 100 parts; hence, 100 percent denotes the complete amount, and 200 percent designates double the amount specified. percentage. Percentile in mathematics is a related topic.

Given

1200/2000=.6 or 60%

Hence, 60%of calories were from carbohydrates.

To learn more about percentage refer to:

https://brainly.com/question/843074

#SPJ2

Find the center and radius of the circle. Write the standard form of the equation.
(1,6) (10,6)

Answers

Answer:

Centre, ((1+10)/2,(6+6)/2)

or, (11/2,12/6)

or, (5.5,6)

Radius,

[√{(10-1)²+(6-6)²}]/2

= (√81)/2

= 9/2 = 4.5

(x-11/2)²+(y-6)²=20.25

Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.74. (a) Compute a 95% CI for the true average porosity of a certain seam if the average porosity for 19 specimens from the seam was 4.85. (Round your answers to

Answers

Answer:

The answer is "(4.518, 5.182)"

Step-by-step explanation:

[tex]\sigma = 0.74[/tex]

The aveage porosity for a sample of [tex]n = 19[/tex] specimens is

[tex]\bar{x}=4.85[/tex]

Thus, the[tex]95\%[/tex] confidence interval for the true mean is

[tex]=\bar{x}\pm Z_{\frac{0.05}{2}} \frac{\sigma}{\sqrt{n}}\\\\=4.85\pm 1.96 \frac{0.74}{\sqrt{19}}\\\\=4.85\pm 0.332\\\\=(4.518, 5.182)[/tex]

Therefore, one can state that the true average porosity will lie  between 4.518 and 5.182 with the 95\% confidence.

A California distributor of sporting equipment expects to sell 10,000 cases of tennis balls during the coming year at a steady rate. Yearly carrying costs (to be computed on the average number of cases in stock during the year) are $10 per case, and the cost of placing an order with the manufacturer is $45. Determine the economic order quantity, that is, the order quantity that minimizes the inventory cost.

Answers

The economic order quantity is 300 cases of tennis balls.

The economic order quantity (EOQ) is the minimum quantity that the distributor can order per order to minimize inventory costs.

Data and Calculations:

Sales of tennis balls for the coming year = 10,000 units

Carrying (holding) costs per case = $10

Cost of placing orders with the manufacturer = $45 per order

Economic Order Quantity (EOQ) = square root of (2 * Annual Demand/Sales * Ordering cost)/Carrying cost per case

= square root of (2 * 10,000 * $45)/$10

= square root of 90,000

= 300 cases of tennis balls

This implies that the distributor will place about 33 orders (10,000/300) in the coming year.  With each order, the quantity placed is 300 units.

Thus, the economic order quantity that will minimize the California distributor's inventory costs for the year is 300 cases of tennis balls.

Learn more about economic order quantity here: https://brainly.com/question/9068415

If one big rectangle represents one whole what fraction of area is shaded gold in the two rectangle

Answers

Answer:

15/8

Step-by-step explanation:

one big rectangle is 1 or 8/8 and the other is 7 out of 8, therefore we have 8/8+7/8 = 15/8.

HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

  D. 72 heads in 100 flips

Step-by-step explanation:

A probability calculator will tell you the probabilities of the given outcome with a fair coin are ...

  A: 0.0625

  B: 0.04395

  C: 0.15498

  D: 3.9×10^-6

__

It is "improbable" that a fair coin will give 72 heads in 100 flips. So, it is reasonable to assume the coin is not fair if that is the result.

Write as an algebraic expression: *20% of 75% of y

Answers

Answer:

0.15y

Step-by-step explanation:

0.2*0.75*y = 0.15y

A son is 8 years old. his father is 5 times as old. How old will the father be when he is twice as old as his son?

Answers

The father would be 64 years old

whats the value of 5 in the product of 6,541 x 100

Answers

Answer:

50,000

Step-by-step explanation:

The product would be 654,100. Replace the other numbers to find the value of 5. The value of 5 is 050,000 or 50,000.

I hope this helps!

How many
Assume that the mean hecaht of soldiers is 166cm
with a standard deration of 8. cm.
soldeers in a regiment of 1000 would you expect to
be over 177 cm tall.

Answers

Answer:

85

Step-by-step explanation:

Given that :

Mean height , μ = 166

Standard deviation, σ = 8

Sample size, n = 1000

Using the Zscore formula :

Zscore = (x - μ) / σ

x = 177

Z = (177 - 166) / 8

Z = 1.375

P(Z > 1.375) = 0.084566(Area to the right of Z)

P(Z > 1.375) * n

0.084566 * 1000 = 84.566 = 85 soldiers

Which expression is equivalent to: 16x - 16
4(2x - 2)
4(4x - 16)
4(4x - 4)​

Answers

Answer:

4(4x-16)

Step-by-step explanation:

If you like my answer than please mark me as brainliest

It’s 4(4x-4)
Using the distributive property you would take the 4 outside of the parentheses, and multiply it by the 4x and then by the -4 inside the parentheses. 4•4x=16x. 4•-4=16 (remembering that a negative times a positive is still a negative)

A local church holds an annual raffle to raise money for a new roof. They sell only 500 tickets at $50 each. This year's prizes include: $3,000 in cash, four $100 Amazon gift cards, and two $75 Visa gift cards. You buy one ticket. What is your mathematical expectation for this game

Answers

Answer:

The expectation for an event with outcomes:

{x₁, x₂, ..., xₙ}

Each one with probability:

{p₁, p₂, ..., pₙ}

Is:

Ev = x₁*p₁ + ... + xₙ*pₙ

There are 500 tickets sold.

1 of these, wins $3,000  (this is the event x₁)

4 of these, wins $100     (this is the event x₂)

2 of these, wins $75        (this is the event x₃)

The others do not have a prize.

So the probability of winning the $3000 is equal to the quotient between the number of tickets with that prize (1) and the total number of tickets (500)

p₁ = 1/500

Similarly, the probability of winning $100 will be:

p₂ = 4/500

And for the $75 prize:

p₃ = 2/500

Then the probability of not winning is:

p₄ = 493/500

Then the expected value for a single ticket is:

Ev = $0*493/500 + $75*2/500 + $100*4/500 + $3000*1/500

Ev = $7.1

If you take in account that you pay $50 for the ticket, the actual expectation should be:

E = $7.10 - $50 = -$42.90

Find the value of x round to the nearest tenth.

Answers

9514 1404 393

Answer:

  117.9°

Step-by-step explanation:

Solving the Law of Cosines equation for C, we get ...

  C = arccos((a² +b² -c²)/(2ab))

Filling in the values from the figure, we find the angle X to be ...

  X = arccos((y² +z² -x²)/(2yz)) = arccos((55² +50² -90²)/(2·55·50))

  X = arccos(-2575/5500) ≈ 117.9°

please help answer question

Answers

Answer:

Mark me brainlist please please please please

Answer:

Step-by-step explanation:

2067 Supp Q.No. 2a Find the sum of all the natural numbers between 1 and 100 which are divisible by 5. Ans: 1050 ​

Answers

5

Answer:

1050

Step-by-step explanation:

Natural Numbers are positive whole numbers. They aren't negative, decimals, fractions. We can just divide 5 into 100 to find how many natural numbers go up to 100 and just add them but that is just to much.

There is a easier method.

E.g: Natural Numbers that are divisible by a Nth Number. is the same as adding the Nth Numbers to a multiple of that Nth Term. For example, let say we need to find numbers divisible by 2. We know that 4 is divisible by 2 because 4/2=2. We can add the Nth numbers which is 2 to 4. 4+2=6. And 6 is divisible by 2 because 6/2=3. We can call this a arithmetic series. A series which has a pattern of adding a common difference

Back to the problem, we can use the sum of arithmetic series formula,

[tex]y = x( \frac{z {}^{1} + {z}^{n} }{2} )[/tex]

Where x is the number of terms in our sequence. Z1 is the fist term of our series. ZN is our last term. And y is the sum of all of the terms

The first term is 5, the numbers of terms being added is 20 because 100/5=20. The last term is 100.

[tex]y = 20( \frac{5 + 100}{2} )[/tex]

[tex]y = 20( \frac{105}{2} )[/tex]

[tex]y = 1050[/tex]

we make a sequence of figures with tiles. The first four figures have 1,4,7 and 10 tiles, respectively. How many tiles will the 15th figure have?

Answers

Answer:

43

Step-by-step explanation:

1 , 4 , 7 , 10

→ Find the difference between each term

4 - 1 = 3, 7 - 4 = 3 and 10 - 7 = 3

→ Put this into the nth term format

3n + x

→ Write the 3 times tables above the sequence and find what you need to take away from the times tables to get to the sequence

3 , 6 , 9 , 12

1 , 4 , 7 , 10

→ Minus 2

3n - 2

→ Substitute 15 as n

3 × 15 - 2 = 43

what is the value of tan 0 in the unit circle below? (square root3/2,1/2)

Answers

Answer:

√3/3

Step-by-step explanation:

To obtain Tan θ ;

From trigonometry, tan θ = sin θ / cosθ

Given the paired value : (√3/2, 1/2)

The (cosine, sine ) pair ;

Tan θ = sin (1/2) / cos (√3/2)

Tan θ = (1/2 ÷ √3 / 2) = 1 / 2 * 2 / √3 = 2 / 2√3 = 1 / √3

Tan θ = 1 / √3

Rationlaizing the denominator :

1/√3 * √3/ √3 = √3/√9 = √3/3

Other Questions
Our heritage is being destroyed day by day. Make a list of ways to protect them.Write any five points. how many square metres of floor are there in a room of 6 metres ig something like that MUST BE IN PRESENT PERFECT OR PAST PERFECT!!!!!!!! Historia del mar due August 5th 11:59 PM CDTCompleta el siguiente artculo de enciclopedia con los verbos conjugados en el presente perfecto o el pluscuamperfecto.En diciembre de 1872, la tripulacin del barco Dei Gratia encontr en el ocano Atlntico al barco Marie Celeste. Navegaba atoda velocidad, pero no haba gente.Un mes antes, el Marie Celeste (1) (salir) de Nueva York hacia Gnova. Llevaba alcoholindustrial. Cuando la tripulacin del Dei Grotio lo encontr, (2)(desaparecer) toda latripulacin. El bote salvavidas y otras cosas (3)(desaparecer) tambin, perqel alcohol estabaall. Nunca pudieron saber qu pas.Desde entonces, la gente (4)(5)(6)ms famosas historias del mar.(dar) muchas explicaciones sobre el hecho. Algunos(decir que la tripulacin dej el barco porque crey que iba a hundirse. Otros(contar) historias exticas. La desaparicin de la tripulacin del Marie Te es una de las In your opinion, what factors lead to succes Bill Johnson, sales manager, and Diane Buswell, controller, at Current Designs are beginning to analyze the cost considerations for one of the composite models of the kayak division. They have provided the following production and operational costs necessary to produce one composite kayak.Kevlar $250 per kayakResin and supplies $100 per kayakFinishing kit (seat, rudder, ropes, etc.) $170 per kayakLabor $420 per kayakSelling and administrative expensesvariable $400 per kayakSelling and administrative expensesfixed $119,700 per yearManufacturing overheadfixed $240,000 per yearBill and Diane have asked you to provide a cost-volume-profit analysis, to help them finalize the budget projections for the upcoming year. Bill has informed you that the selling price of the composite kayak will be $2,000.(a) Calculate variable costs per unit. Variable cost per unit $Bill Johnson, sales manager, and Diane Buswell, co (b) Determine the contribution margin per unit. Contribution margin per unit $Bill Johnson, sales manager, and Diane Buswell, co (c) Using the contribution margin per unit, determine the break-even point in units for this product line. Break-even point Bill Johnson, sales manager, and Diane Buswell, co units(d) Assume that Current Designs plans to earn $270,600 on this product line. Using the contribution margin per unit, calculate the number of units that need to be sold to achieve this goal.Number of units Bill Johnson, sales manager, and Diane Buswell, co units(e) Based on the most recent sales forecast, Current Designs plans to sell 1,000 units of this model. Using your results from part (c), calculate the margin of safety and the margin of safety ratio. (Round margin of safety ratio to 1 decimal place, e.g. 25.5%.)Margin of safety $Bill Johnson, sales manager, and Diane Buswell, co Margin of safety ratio Bill Johnson, sales manager, and Diane Buswell, co%By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor.(a) Calculate variable costs per unit.Variable cost per unit $Bill Johnson, sales manager, and Diane Buswell, co(b) Determine the contribution margin per unit.Contribution margin per unit $Bill Johnson, sales manager, and Diane Buswell, co(c) Using the contribution margin per unit, determine the break-even point in units for this product line.Break-even point Bill Johnson, sales manager, and Diane Buswell, co units(d) Assume that Current Designs plans to earn $270,600 on this product line. Using the contribution margin per unit, calculate the number of units that need to be sold to achieve this goal. Number of units Bill Johnson, sales manager, and Diane Buswell, co units(e) Based on the most recent sales forecast, Current Designs plans to sell 1,000 units of this model. Using your results from part (c), calculate the margin of safety and the margin of safety ratio. (Round margin of safety ratio to 1 decimal place, e.g. 25.5%.)Margin of safety $Bill Johnson, sales manager, and Diane Buswell, coMargin of safety ratio Bill Johnson, sales manager, and Diane Buswell, co% find the missing side of the triangle. HIPAA Exclude information considered education records under FERPA law True or False yall what do ya think shaped ya feelings bout science classes? Mike is gathering equipment for a lab where he will measure the masses of variouschemicals. Which of the following is the most complete list of the equipment he willneed?electric balance, graduated cylinder, test tubegraduated cylinder test tube, gogglesO graduated cylinder beaker, test tubeelectric balance, goggles, beaker positive thoughts get us.......(to succeed/succeeded/succeed) in life . . . . . . . . . . . . . . . . . . . . . . . . . . . . . The two countries with the highest cocoa production are theIvory Coast and Ghana. The Ivory Coast produces three times the amount of cocoaproduced in Ghana. (Source: International Cocoa Organization) Express theamount of cocoa produced in the Ivory Coast in terms of the amount of cocoa produced in Ghana. Why is it useful for students to practice the MLA and APA citation methods? What is the median for the set of data? 6, 7, 10, 12, 12, 13 Answer choices:6710121213 Find two numbers nearest to 8888888 which are exactly divisible by 2915 explain step by step Makers Corp. had additions to retained earnings for the year just ended of $553,000. The firm paid out $191,000 in cash dividends, and it has ending total equity of $4.96 million. The company currently has 240,000 shares of common stock outstanding. a. What are earnings per share A police officer investigating a car accident finds a skid mark of 115 ft in length.How fast was the car going when the driver hit the brakes?Round your answer to the nearest mile per hour. mph Acquiring political knowledge, listening to statements from respected public leaders, and determining what is in their own best Interest are allways in which Americans can:. force changes in government policiesB. form political opinionsC. protect their civil libertiesD. elect new leaders Help me please.. Please help me solve this short problem guys