describe how to derive the quadratic formula a quadratic equation in standard form

Answers

Answer 1

Answer:

The quadratic formula is derived from a quadratic equation in standard form when solving for x by completing the square. The steps involve creating a perfect square trinomial, isolating the trinomial, and taking the square root of both sides. The variable is then isolated to give the solutions to the equation.


Related Questions

The number of DVDs sold at a store in a month was 925 and the number of DVDs sold decreased by 12 per month. The number of Blu-ray discs sold in the same store in the same month was 507 and the number of Blu-ray discs sold increased by 26 per month. Let d represent the number of discs sold and t represent the time in months.
Write a system of equations by filling in the blanks:
d= _ t+ _
d= _ t+ _
Solve the system of equations using the substitution method. Complete the sentence to describe the solution.
There will be _ DVDs and Blu-Ray discs sold per month in _ months

Answers

Answer:

See below

Step-by-step explanation:

DVDs

d = 925 - 12t

Blu-rays

d = 507 + 26t

Solve the system:

925 - 12t = 507 + 26t26t + 12t = 925 - 50738t = 418t = 418/38t = 11

Number of disks sold in 11 months:

925 - 12*38 = 469

There will be 469 DVDs and Blu-Ray discs sold per month in 11 months

PLS HELP MEEEEEEE

140 raffel tickets were sold at a fundraiser. If the ratio of losing tickets to the number of winning tickets is 5:2, how many winners are there. SHOW YOUR WORK PLSSSSS

Answers

Answer:

down below

Step-by-step explanation:

5:2=5+2= there are 7 parts altogether

140/7=20 in each 1 part

losing=5

do 20 times 5=100 raffel tickets are losing

2 times 20 is the winning tickets=40 winning tickets

i hope i could help<3

Why are STEM careers important now? Have you seen this in your school?​

Answers

Answer:

they are important because most of everyday life jobs revolve around the stem careers.

Jake got 12 questions correct on a 20 question test. What percent did Jake get correct

Answers

Answer:

2.4?

I'm not completely sure but I think that may be the correct answer.

(Edit) Oh it's not. It's 60%. Well ok.

(Edit 2) Thank you for letting me try-.

Answer:

60%

Step-by-step explanation:

We can set this up as the proportion is/of=%/100. So,

12 = %

20 100

First, multiply across with 12x100. 12x100=1,200.

Now, divide 1,200 by 20. 1,200/20=60

Jake got 60% on the test.

Hope this helps!! Have a nice day .,.

Which answer describes the transformation of g(x) = log2 (x+3) + 1 from the
parent function f(x) = log2 x ?
A. It is the graph of f(x) shifted 3 units left and 1 unit up.
B. It is the graph of f(2) shifted 1 unit right and 3 units down.
C. It is the graph of f(2) shifted 3 units right and 1 unit down.
D. It is the graph of f(2) shifted 3 units right and 1 unit up.

Answers

Answer: C

Step-by-step explanation:

Answer:

It is the graph of f(x) shifted 3 units left and 1 unit up.

Step-by-step explanation:

Any number inside the parentheses that is either negative or positive will do the exact opposite as stated in the equation, it is shifting 3 units to the left.  We can also assume that it shifts 1 unit up since it is + 1.

Brayden has a triangular flag hanging in his room. What is the area of the flag? *

Answers

Answer:

if you want the base and the height you have to give me number or do you want the formula ?

Which two numbers are exactly 10 units away from 5?

Answers

If you want positive then 15 but if you want negative then -5

Hdjfjdjqowjfbbdjsispqkeufjf

Answers

Answer:

C=12π

Step-by-step explanation:

C=2πr

Radius is half of Diameter.

C= 2π(6)

C=12π

you guys help me please​

Answers

Answer:

i got the first one

plz help me rate me brainest

Q2) The number of people signed up for a bus trip increased from 32 to
45. What is the percent increase?

Answers

Answer:

45-32 = 13 / 32 *100= 40.625 round to the nearest percent is 41%

Step-by-step explanation: Brainlest plzzz

PRE CALC HELP 50 PTS

Answers

Answer:

[tex] \sec( \frac{x}{3} ) + 4 > 2 - \sec( \frac{x}{3} ) \\ 2 \sec( \frac{x}{3} ) > - 2 \\ \sec( \frac{x}{3} ) > - 1 \\ \boxed{y = \sec( \frac{x}{3} )} \\ \boxed{y = - 1}[/tex]

B) is the right answer.

Answer:

B

Step-by-step explanation:

We want to solve the inequality:

[tex]\displaystyle \sec\Big(\frac{x}{3}\Big)+4>2-\sec\Big(\frac{x}{3}\Big )[/tex]

First, we can add sec(x/3) to both sides:

[tex]\displaystyle2 \sec\Big(\frac{x}{3}\Big)+4>2[/tex]

Subtracting 4 from both sides yields:

[tex]\displaystyle 2\sec\Big(\frac{x}{3}\Big)>-2[/tex]

And dividing both sides by 2 yields:

[tex]\displaystyle \sec\Big(\frac{x}{3}\Big)>-1[/tex]

Therefore, we can graph the following two functions:

[tex]\displaystyle y=\sec\Big(\frac{x}{3}\Big)\text{ and } y=-1[/tex]

Where our solutions will be all the intervals where y = sec(x/3) is above the line y = -1.

Choose the expression equivalent to 3(x + 10)?

Answers

Answer:

3x+30

Step-by-step explanation:

On average, Nancy has noticed that 18 trucks pass by her apartment daily (24 hours). In order to find the probability that more than 4 trucks will pass her apartment in a 5-hour time period using the Poisson distribution, find the average number of trucks per 5 hours. Round your answer to three decimal places, if necessary.

Answers

Answer:

the average number of trucks per 5 hours is 3.750 trucks per 5 hours

Step-by-step explanation:

The computation of the average number of trucks per 5 hours is given below:

= Number of trucks passed ÷ time taken × given time

= 18 trucks ÷ 24 trucks × 5

= 3.750 trucks per 5 hours

Hence, the average number of trucks per 5 hours is 3.750 trucks per 5 hours

The same is to be considered by applying the above formula

What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) ?

y+4=−911(x−8)

y+4=−15(x−8)

y−4=−15(x+8)

y−4=−911(x+8)

Answers

Answer:

y-4=–911(x+8)

please mark as brainliest

Answer:y-4=–911(x+8)

Step-by-step explanation:

This is the correct answer i do k12

Pls help extra points and mark brainlist easy reading

Answers

Answer:

A should be the answer pls brainliest

Step-by-step explanation:

Is (x-2) a factor of f(x) = (4x +13x +10)?

Answers

Answer:

Step-by-step explanation:

No but it is close.   (4x +13x +10) factors into

(4x + 5)(x + 2)

So (x + 2) is a factor along with (4x + 5)

Help me out with this question (geometry)

Answers

Answer:

I believe the answer is 32 degrees. The reason I believe this is because the line VP splits the whole angle and at the right end of the line, closest to letter P both sides make the new two triangles right angles. This leads me to believe that the line VP splits the triangle equally into two parts which means both angle 2 and angle 1 would have to add up to 64 degrees.

Step-by-step explanation:

32 Degrees. An angle bisector divides an angle exactly in half, so if angle V = 64 degrees, the 1 and 2 are each exactly half of that = 32 degrees.

HELP PLEASE...........

Answers

7)3000/5000*100=60%
8)7000-6000=1000
1000/7000*100=14.3%
9)33.6/2.1=16
10)201.15/1.25 =160.92 but you only round up in order to get it fill so 161 jugs

#7 and #8

Solve these with proportions. Set them up like this:

[tex]\frac{part}{whole} =\frac{percentage}{100}[/tex]

Say I have a question that said "Arjun had Rs. 10, and his friend Raghav borrowed Rs. 5, what percentage of Arjun's amount did Raghav borrow?". 10 is the whole. It is the total amount of money that they have. 5 is the part. You are looking for the percentage. The 100 will always stay the same. Put the values that you know into the proportions, and replace what you don't know with the variable x. Like so:

[tex]\frac{5}{10} = \frac{x}{100}[/tex]

To solve this, use cross multiplication. Multiply the top left with the bottom right, and the bottom left with the top right. You will get:

5(100) = 10x

Simplify.

500 = 10x

Now, to solve this, you must isolate the x. To do this, divide both sides by 10, to get:

50 = x.

50 is your percentage.

You can solve this kind of problem by just remembering the proportion, filling in what you know, and then solving!

#8 and #9

To solve these types of problems, set up an equation.

Say that I had the question "Sowmya is baking cupcakes. She has 10 cups of flour, and she uses 2 cups for each cupcake. How many cupcakes can she bake?

What do you know?

You know she has 10 cups in total. You know that she uses 2 cups per cupcake.

So, you will set up the equation like this:

2x = 10

Where x is the number of cupcakes she makes.

To solve, you will isolate the variable by dividing both sides by 2 to get:

x = 5.

Sowmya can bake 5 cupcakes with 10 cups of flour.

Hope this helps!

Lena has three cups of milk in a refrigerator she needs 1/3 of a cup of milk to make a BATCHES of 6 cupcakes how many cupcakes will need to be able to make with that amount of milk in the refrigerator​

Answers

Answer:  Lena will be able to make 54 cupcakes.

Step-by-step explanation:

If 1/3 cups  has t make 6 cups , then we can set up a proportional relationship and find  out how much 3 cups of milk can make.

[tex]\frac{1/3}{3} = \frac{6}{x}[/tex]     Cross multiply  

1/3x = 18     Multiply both sides by 3.

x = 54  

I will give brainiest to whoever answers correctly !!

Answers

Answer: The interest is $6384

Help please extra points

Answers

Answer:

The answer to the question provided is letter c.

What's 10.08 rounded to the nearest one?

Answers

Answer:

10

Step-by-step explanation:

Please help
I'm giving 99 points

Answers

Answer:

The box surface area is the one third of the first box she made

Step-by-step explanation:

PLEASE HURRY I'LL MARK BRAINLIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!1 Bo, Mike, and Cat are playing a game involving decimals in math class. So far, they have scored 100.2 points combined. Bo scored 38.65 points and Mike scored 29 points. How many points did Cat score?

A fraction bar labeled C divided into 3 parts: Bo, B, and Cat. Bo has A points. B has 29 points. Cat has question mark point.
How many points did Bo score, as represented by A?



Who scored 29 points, as represented by B?



How many points did the 3 players score all together, as represented by C?



What will the answer to the question be?

Answers

Answer:

67.65

Step-by-step explanation:

Answer

cat scored: 38.65+29=67.65

100.2-67.65=32.55#

bo 29 marks  

Step-by-step explanation:

What is 1.8 x 2.4 Find the missing partial products PLEASE HELP!!

Answers

Answer: 4.32

Step-by-step explanation: 1.8 x 2.4 is 4.32!

0.8 x 2 = 1.6

0.4 x 0.8 = 0.32

solve for x x−3/11=8

x=​

Answers

What huh? I don’t rly understand

can somebody help me please

Answers

Answer:

37

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

Using the end result and subtracting the number we already know, it will lead to the letter / variables answer.

Use the fractions 36in./1yd and 2.54 cm/1 in convert 3yd to cm

Answers

Ndiuewuneqdkiqjdqjiodqeiojqdoiqdioaejdijeioeajdihoqedjioqedjoiqhioeqoieqjd

Does the decimal 12/11 terminate or repeat

Answers

Answer: 1.09090909

Step-by-step explanation:

Admission to the the zoo is $15 and each individual ticket costs $3.50. What of the following expressions could represent the scenario?
15x + 3.5
15 +3.5x
18.50x
3.5x - 15​

Answers

Answer:

b.

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

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