What is a quadratic equation? And how do you solve them?

Answers

Answer 1

Answer:

A quadratic equation is some thing like

(x+2)^2

or

(x+2)(x+5)

In order to solve them, the most basic method is the FOIL method

F-First

O-Outside

I-Inner

L-Last

So for example

(x+2)^2

Which is basically

(x+2)(x+2)

So the first is the 2 Xs

(x+2)(x+2)

x*x=x^2

The outer is the x and the 2,

(x+2)(x+2)

2*x=2x

Now the Inner which is the 2 and the x

(x+2)(x+2)

2*x=2x

And finally the last  which is the 2 and the second 2

(x+2)(x+2)

2*2=4

Now add them all up

X^2+2x+2x+4

Combine like terms

x^2+4x+4

There you have it

Do the same with every other quadratic equation


Related Questions

Make an equation for the area of each rectangle.Solve it to find the value of x. Area=70cm^2 l=(2x+8)cm b=5cm​

Answers

Answer:

I gc bj jiu I'll vuhv jo b DDT UK k

what is the slope of the line that passes through the point (-1,-10) and (-1,-2). answer needs to be in simplest form

Answers

Answer: m = undefined

Step-by-step explanation:

-2-(-10) = 8

-1-(-1) = 0

m = 8/0

Which is an undefined slope

Answer:

The slope is undefined

Step-by-step explanation:

Plug in the points to the formula for slope (Formula Found Below). You would get (-2 + 10)/(-1 + 1), which simplifies to 8/0. Anything divided by 0 is undefined, which means that the slope is undefined.

Furthermore, you could also tell this simply by the points given. If two points on a line have the same x - coordinate, it means that the slope is undefined and that the line formed by the points isn't a function.

Formula for Slope:

[tex]\frac{y1 - y2}{x1 - x2}[/tex]

Usable with 2 points of the line given ((x1, y1) and (x2, y2))

The radio station usually plays 116,800 songs in a year. Last year there was a 16% decrease in the number of songs played. What was the amount of songs played on the radio station last year?

Answers

Answer:

Number of songs played last year = 98,112 songs

Step-by-step explanation:

Given:

Number of songs played = 116,800

Decrees songs = 16% = 0.16

Find:

Number of songs played last year

Computation:

Number of songs played last year = Number of songs played[1-Decrees songs]

Number of songs played last year = 116,800[1-0.16]

Number of songs played last year = 98,112 songs

Describe how you could use algebraic operations to solve the equation 1 = -3x + 4

Answers

Answer:

x=1

Step-by-step explanation:

3x=4-1

3x=3

x=1

B
D
A
C
side AC is extended to point D with m

Answers

Answer:

im so confused

Step-by-step explanation:

What I’m literally so confused rn lol

Find the slope given the two points below:
(-8, — 11), (-1, 17)

Answers

Answer:

Slope: 4

Step-by-step explanation:

Answer: The slope is 4

Step-by-step explanation:

Slope formula:

[tex]m = \frac{y_{2}-y_{1} }{x_{2}- x_{1} }[/tex]

[tex]m = \frac{17 - (-11) }{-1 -(-8) }[/tex]

[tex]m = \frac{17 +11 }{-1 +8}[/tex]

[tex]m = \frac{28 }{7}=m = \frac{4}{1}=m =4[/tex]

m = 4

The slope is 4

WILL GIVE BRAINLIEST!!!!!!!!!!
A sandcastle can be modeled with four 6-inch-tall square prisms, one on top of the other, as shown in the figure below.
The base of the bottom prism has a side length of 30 inches, and the base of each of the other three prisms has a side length 7 inches less than the side length of the base of the prism below it. What is the volume of the sand castle?

Answers

Answer:

A 2808

Step-by-step explanation:

From top to bottom

The top one is 9

Second layer is 16

Third is 23

Bottom is 30

I did 9 x 6, 16 x 6, 23 x 6, 30 x 6 = 54, 96, 138, 180

Added all of them up and got 468 then I times it by 6 and got 2808

Heyo! ;D

The volume of the sandcastle above is 10,596 cubic inches.

Hope this helped! If so, please lmk! Tysm and good luck!

Write a coordinate proof given quadrilateral ABCD with vertices A (3, 2), B (8, 2), C (5, 0), and D (0, 0).
Plot the point and graph the quadrilateral.

Answers

Answer:

Step-by-step explanation:

Hhahahahahahahahhahahahahahaha

Sorry if you can’t read it but u wasn’t paying attention in online class and I missed this out and soz if it’s blurry! 95 point in return

Answers

Answer:

the answer is at the bottom

Step-by-step explanation:

please mark me as brainliest<3

answer is attatched

my feet are asleep,,,.T.T, I'm also stressed and cold and tired​

Answers

Answer:

Ok its friday be happy

Step-by-step explanation:

find the amplitude.
f(x)=2.3cos(4x)

Answers

Answer:

As cosine returns a value between -1 and 1, the amplitude will simply be the coefficient of the cosine function.  In this case it's 2.3, which tells us that the amplitude is also 2.3

Sandra has a checking account at Wells Fargo Bank. During the month of May, she made deposits totaling $2,458.52 and wrote checks totaling $789.23. He paid a maintenance fee of $25 and earned $3.24 in interest. Her balance at the end of the month was $4,492.76. What was the balance at the beginning of May.

Answers

63499900000965322gxjk

50 POINTS!!!!

Some girl that I know really likes this guy and he told her he likes her and she wants to ask him out but she is afraid what should she do

Answers

Answer:

I would say ask him out, if not she'll continue to wonder if he was ever going to be a great relationship or just a short relationship. it's also a good way to experience dating!

Step-by-step explanation:

hope this HELPS her out!

✧◝(⁰▿⁰)◜✧

Please help me guys ill mark you as a brilliant

Answers

Answer:

so the answer is ,,5". hope this helped! Have a nice day.

Step-by-step explanation:

45:9=5

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

DJ = 48

Step-by-step explanation:

In triangle CDE, point J is the centroid.

Length of median DH = 72

By the property of the centroid of a triangle,

"Centroid of a triangle divides the medians in the ratio of 2 : 1"

By this property, length of DJ = [tex]\frac{2}{(2+1)}(DH)[/tex]

                                                 = [tex]\frac{2}{3}(72)[/tex]

                                                 = 48 units

Therefore, length of DJ = 48 units

-1/4n - n= -5/6

What does n equal, Please I need this done very quickly!!

Answers

Answer:

n = 2/3

Step-by-step explanation:

Can someone help me out with this

Answers

Answer:

b 6"

Step-by-step explanation:

because l is 3" and H" is the same so it is b

Answer is 6”, as LD is 3” and is half of it! :)

Help me with this pls

Answers

Answer:

Is there any more information about the question?

Step-by-step explanation:

X=80....................

Write an equation in slope-intercept form thats perpendicular to the given line and goes thru the point.
1. y=-3x + 4 (6,-2)
2. -2x -8y = 16 (4,5)
3.. x+y= 2 (8,5)
(PLS HELP ME I NEED THE ANSWER RIGHT NOW ITS URGENT)​

Answers

Answer:

steps below

Step-by-step explanation:

1.   y=-3x + 4            (6,-2)

y' slope: 1/3   (perpendicular)

y' = mx + b

b = y' - mx = -2 - (1/3) x 6 = -4

equation: y' = 1/3 x - 4

2.  -2x -8y = 16             (4,5)

8y = -2x - 16          y = -1/4 x - 2

perpendicular line slope: 4

b = y - mx = 5 - 4 x 4 = - 11

equation: y = 4x - 11

3. x+y= 2             (8,5)

y = -x + 2     slope: -1

perpendicular slope: 1

b = y - mx = 5 - 1 x 8 = -3

equation: y = x -3

The perimeter of a rectangle is 24 inches. If the length of
the rectangle is less than the width of the
rectangle, which of the following best illustrates the
domain for the length of this rectangle?

20 points

Answers

Answer:

C

Step-by-step explanation:

its more than likely to be C

amir rented a dvd and it was due to be returned on 28 march he actually returned it to the shop on 16 april the rental shop applies 7p for everyday the dvd is overdue. Work out the total fine paid by amir give your answer in £

Answers

Answer:

£133

Step-by-step explanation:

March had 31 days

Extra days used in March = March 31 - March 28

= 3 days

Extra days used in April = 16 days

Total extra days used = Extra days used in March + Extra days used in April

= 3 days + 16 days

= 19 days

Cost per extra days = £7

Total fine for 19 extra days = £7 × 19

= £133

Total fine paid = £133

The total fine paid by amir should be  £133.

The calculation is as follows:

March had 31 days

Extra days used in March should be

= March 31 - March 28

= 3 days

Now

Extra days used in April = 16 days

And,  

Total extra days used = Extra days used in March + Extra days used in April

= 3 days + 16 days

= 19 days

Cost per extra days = £7

Total fine for 19 extra days = £7 × 19

= £133

Learn more: brainly.com/question/16911495

The value of sales at the shop decreases from 145,000 a year to 129,000 find the percentage decrease in the value of sales

Answers

Answer:

11.0344828%

Step-by-step explanation:

145000 - 129000 = 16000.

16000/145000 = 16/145 = 0.110344828

Therefore there was a 11.0344828% decrease

Answer:

11.03% that is the percentage decrease

Keiko drank 18 fluid ounces of juice. How much is this in cups?

Answers

Answer:

2 1/4

Step-by-step explanation:

18 fl oz= 2 1/4 or 2.25 cups

8 oz in a cup 18/8= 2.25 cups (2 1/4)

f(x) = x² +1
g(x) = 3x + 1
Find (f ºg)(x)

Someone please help!!!!

Answers

Answer:

f*g(x) = (x²+1) (3x+1) = 3x³+x²+3x+1

Step-by-step explanation:

f*g(x) = f(x) * g(x)

f*g(x) = (x²+1) (3x+1) = 3x³+x²+3x+1

write the equation of the line shown in the graph in slope intercept form

Answers

Answer:

y= 4x +3

Step-by-step explanation:

slope= rise over run

y-intercept = where the line hits the y axis

In the diagram, the length of segment QV is 15 units.

Line m is a perpendicular bisector of line segment S Q. It intersects line segment S Q at point R. Line m also contains points T and V. Line segment T S is 3 x + 2. Line segment S V is 4 x minus 1.
What is the length of segment TQ?

Answers

Answer:

TQ=14

Step-by-step explanation:

Given:

QV=15

Since the figure is a kite because SR=QR and TV is perpendicular to SQ:

SV=QV and ST=TQ

so:

4x-1=15

x=4

ST=3x+2=14

TQ=14


Express "17 billion" in scientific
notation.

Answers

Answer:

The scientific  notation is [tex]1.7\times 10^{10}[/tex].

Step-by-step explanation:

Consider the provided information.

We need to express 17 billion in scientific notation.

17 billion is: 17,000,000,000

We split the given number into a coefficient and a power of 10.

Move the decimal point of the given number till the coefficient of the given number is greater than 1 and less than 10 and write the power of 10 equal to the number of steps the decimal point was moved.

17 billion in scientific notation = [tex]1.7\times 10^{10}[/tex].

Hence, the required answer is [tex]1.7\times 10^{10}[/tex].

Triangles similar to the same triangle are ______ to each other.


A) congruent

B) similar

C) close

D) parallel

Answers

Answer:

b. similar because they are said to be similar if their corresponding angles are congruent and the corresponding sizes are in proportion.

In a parallelogram ABCD with diagonal AC, a student has used the Alternate Interior Angles Theorem to show that angle DAC is congruent to angle BCA and that angle BAC is congruent to DCA.

Which of the following can be used to prove the triangles congruent by ASA? (4 points)

TB ≅ TD
DB ≅ DB
AC ≅ DB
AC ≅ AC

Answers

Answer:

AC ≅ AC

Step-by-step explanation:

A S A ---> Angle Side  Angle

∠DAC ≅∠ BCA          {Alternate interior angle}

AC ≅ AC                      {Reflexive property}

∠DCA ≅∠BAC           {Alternate interior angle}

The book shelf was bought at a wholesale price of \$147.00$147.00dollar sign, 147, point, 00, and Gabriela's Furniture Store marks up all furniture by 60\%60%60, percent. At what price should the manager sell the book shelf?

Answers

Answer:

$235.20

Step-by-step explanation:

Calculation for At what price should the manager sell the book shelf

First step is to calculate the price increase using this formula

Price increase=Marks up percentage*Wholesale price

Let plug in the formula

Price increase=60%*$147.00

Price increase=$88.20

Now let calculate the price that the manager should sell the book shelf using this formula

Book shelf Price=Wholesale price+Price increase

Let plug in the formula

Book shelf Price=$147.00+$88.20

Book shelf Price=$235.20

Therefore the price that the manager should sell the book shelf is $235.20

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