What are the 8 quadratic formulas?

Answers

Answer 1

The 8 quadratic formulas are essential for solving quadratic equations. They are derived from the quadratic equation, which is expressed as ax² + bx + c = 0. The 8 quadratic formulas are:

1. Standard Quadratic Formula: x = [-b ± √(b² - 4ac)]/2a

2. Quadratic Formula for Negative Discriminant: x = [-b/2a] ± i√(-b² - 4ac)/2a

3. Quadratic Formula for Zero Discriminant: x = -b/2a

4. Quadratic Formula for One Real Root: x = -2c/b

5. Quadratic Formula for Two Real Roots: x = [-b ± √(b² + 4ac)]/2a

6. Quadratic Formula for Two Identical Real Roots: x = -b/a

7. Quadratic Formula for Two Imaginary Roots: x = [-b/2a] ± √(-b² + 4ac)/2a

8. Quadratic Formula for One Imaginary Root: x = [-b/2a] ± i√(b² + 4ac)/2a

By understanding these formulas, it's possible to solve for any unknowns in a quadratic equation.

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Related Questions

1 4/5 as a decimal thank you (will be giving brainliest to first answer that is correct) : D

Answers

Answer:

yes its decimal

Step-by-step explanation:

The given fraction into percent and decimal are; 2.8  and 280%

How to convert percent to fraction and decimal?

Percent counts the number compared to 100.

There is a fraction, containing numerator(upper value) and denominator(lower value).

So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get,

For each 1, there are a/100 parts.

Thus, 50% = 50/100 = 0.50 (in decimal)

There is a fraction, containing numerator(upper value) and denominator(lower value).

The mixed fraction contains a sum of whole number and a proper fraction.

WE have been given a fraction as;

14/5

Then Fraction Decimal Percentage

2.8  and 280%

The given fraction into percent and decimal are; 2.8  and 280%

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4. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!


Write a rule for the linear function shown in the graph.


A. y = 2x - 2

B. y = -2x + 2

C. y = 1/2x - 2

D. y = -x + 2

Answers

Answer:

The answer is A (y = 2x - 2)

Step-by-step explanation:

B and D aren't correct because the y-intercept is a positive 2 instead of negative 2 like the graph shown. We're now left with A and C. Go on one point of the graph and count up or down to go on the same y value as the other point. Go left or right and count until you go to the same point. Remember that the slope equation is rise/run. Rise meaning up or down. Run meaning left or right.

Answer:

y = -x+2

Step-by-step explanation:

For first one

Cuánto costará cercar una finca cuadrada de 14 metros de lado a razón de $150 el metro lineal de alambrada

Answers

Answer:

$ 2100

Step-by-step explanation:

De la pregunta anterior:

1 metro de cerca de alambre = $ 150

14 metros = x

Cruz multiplicar

x = 14 × $ 150

x = $ 2100

Por lo tanto, costaría $ 2100 por una cerca de 14 metros

Which point is the intersection of RS and VT?

Answers

Answer:

point U

Step-by-step explanation:

I learned this before

Hope this helps

Prism A is similar to Prism B. The volume of Prism A is 540 cm.
What is the volume of Prism B? (determine scale factor first)

Answers

Answer:

1080

Step-by-step explanation:

540x2/ or 540 + 540

How do you find the original price from a coupon or discount?

Answers

Answer: ,GJHGFHJGJH HJGLHGLKG HKLGKL G LKJKJLGKJGKGKJKKJ K

Step-by-step explanation:

Which scenario best matches the inequality x greater than 3 ?

Answers

Answer:

d

Step-by-step explanation:

i got an 100 on the test :)

8123 divided by 7 please help!

Answers

The answer to this is 0.14285714

List the possible rational roots of the equation. 0 = 22x4 - x2 + 121​

Answers

Answer:

22×4=88÷2=44+121=165

Answer:

±1

±1/2

±1/11

±1/22

±11

±11/2

±121

±121/2

I need the answer as soon as possible

Answers

Reflection .........................

Answer:

Reflection on the Y axis.

Step-by-step explanation:

(I cannot see the rest of the answers but I am assuming reflection is one of them). The shape reflects perfectly on the Y axis.

A cylinder has radius 3.8 meters. Its volume is 159 cubic meters. Find its
height to the nearest tenth of a meter.

Answers

Answer:

Step-by-step explanation:

Parallel or perpendicular

Answers

neither, because i’m pretty sure parallel lines have to have the same slope & perpendicular lines have slopes that are opposite reciprocals.... & those lines have neither

HELP! WILL GIVE BRAINLY!!! Find the volume of a cylinder with height = 10ft and the diameter of the base circle is 12ft.

Answers

Answer:

About 1,130.4 Cubic Feet

(My previous answer was a mistake. It has now been corrected)

Step-by-step explanation:

The Volume of a cylinder = Height * Pi * Radius^2

The radius is half the diameter, so 12 ÷ 2 = 6

Pi rounded to the hundredth place is 3.14.

Volume = 10 * 3.14 * 6^2 = 1,130.4

Therefore the Volume is about 1,130.4 cubic feet.

Answer:

Exact Volume = 360pi  cubic feet

Approximate Volume = 1130.4  cubic feet

The approximate volume is found when you use pi = 3.14; use more decimal digits of pi to get a more accurate value.

===========================================================

Explanation:

The volume of a cylinder is found by the formula

V = pi*r^2*h

where,

pi = 3.14 approximatelyr = radius = 6 ft, since the radius is half the diameter.h = height = 10 ft

So,

V = pi*r^2*h

V = pi*6^2*10

V = pi*36*10

V = pi*360

V = 360pi  ........... exact volume in terms of pi

V = 360*3.14

V = 1130.4 ......... approximate volume if you use pi = 3.14

The units of the volume are in "cubic feet" which we can abbreviate to "ft^3". Think of a 1 ft by 1 ft by 1 ft cube. The volume would be 1*1*1 = 1 cubic foot. So basically having a volume of roughly 1130 cubic feet means we need this many cubic blocks to form the cylinder (some of the blocks will be cut up to be able to fit).

Write an equivalent expression by distributing the "
−−" sign outside the parentheses:
−(3h−2.3k)−7

Answers

Answer:

= -3h + 2.3k -7

Step-by-step explanation:

you want to distribute your negative to each value in parentheses

remember that negative x negative = positive

remember that negative x positive = negative

whats 667453x765678-543

Answers

Answer:

511054077591

Step-by-step explanation:

Answer:

511,054,077,591

Step-by-step explanation:

Is this an actual question tho?

2.) Find the value of n in the equation 1/2(n+4) = 6 *

Answers

Answer:

2

Step-by-step explanation:

N = 8
Hope this helps

Micah has 294 songs stored in his phone,which is 70% of the songs that Jorge in his phone.How many songs are stored on Jorge'S phone ?​

Answers

Answer:

206

Step-by-step explanation:

70% of 294

70/100 × 294/1

205.8

round it off to 206

Evaluate the expression when a=−15 and b=−5.

hat would -
A divided by b = ?
be?

Answers

Answer:

3

Step-by-step explanation:

Given the following values a=−15 and b=−5.

We are to find a/b

a/b = -15/-5

a/b = 15/3

a/b = 5*3/5*1

a/b = 5/5 * 3

a/b = 1*3

a/b = 3

Hence a divided b will be 3

Select the correct answer,
What is the value of x?
log3 x = 4
A.27
В.7
С.12
D. 81

Answers

Answer:

D. 81

Step-by-step explanation:

Raise  

3

to the power of  

4

.

81

=

x

Rewrite the equation as  

x

=

81

.

x

=

81

olve for x: 3(x + 1) = −2(x − 1) + 6.

Answers

3(x+1)=3x+3
-2(x-1)+6=-2x+2+6=-2x+8
3x+3=-2x+8
X=1 because 3(1)+3=6 and -2(1)+8=6

Scientists have found fewer fossils of plants than of animal bones. Why do you think this is?(You may state your opinion!)

Answers

Fossilized plants are rare since the leaves are fragile and would be destroyed before fossilization can occur.

In The autumn 40% of the leaves on a tree are yellow and 24% of them are green the remaining 72 leaves are half yellow how many leaves are on the tree

Answers

Percentage of yellow leaves on a tree during Autumn = 40%

Percentage of green leaves on a tree during Autumn = 24%

Percentage of half yellow leaves on the tree during Autumn :

[tex] = \tt100 - 40 + 24[/tex]

[tex] = \tt 100 - 64[/tex]

[tex] = \tt 36 \%[/tex]Thus, the percentage of half yellow leaves on the tree during Autumn = 36%

Number of half yellow leaves on the tree = 36%

Let the total number of leaves on the tree be x.

Which means :

[tex] = \tt36 \% \: of \: x = 72[/tex]

[tex] = \tt \frac{36}{100} \times x = 72[/tex]

[tex] = \tt \frac{36 \times x}{100} = 72[/tex]

[tex] = \tt \frac{36x}{100} = 72[/tex]

[tex] = \tt 36x = 72 \times 100[/tex]

[tex] = \tt36x = 7200[/tex]

[tex] = \tt x = \frac{7200}{36} [/tex]

[tex] \color{plum} = \tt \: x = 200[/tex]

Thus, total number of leaves on the tree = 200

Number of yellow leaves on the tree :

[tex] = \tt40 \% \: \: of \: \: 200[/tex]

[tex] = \tt \frac{40}{100} \times 200[/tex]

[tex] = \tt \frac{40 \times 200}{100} [/tex]

[tex] = \tt \frac{8000}{100} [/tex]

[tex] \color{plum} \tt = 80 \: yellow \: \: leaves[/tex]

Thus, total number of yellow leaves on the tree = 80

Number of green trees on the tree :

[tex] = \tt24 \% \: \: of \: \: 200[/tex]

[tex] = \tt \frac{24}{100} \times 200 [/tex]

[tex] = \tt \frac{24 \times 200}{100} [/tex]

[tex] = \tt \frac{4800}{100} [/tex]

[tex] \color{plum} = \tt 48 \: green \: \: leaves[/tex]

Thus, the total number of green leaves on the tree = 48

Since the sum of all types of leaves form 200[80+48+72=200], we can conclude that we have found out the correct number of each type of leaf.

▪︎Therefore, the total number of leaves on the tree = 200

The number of leaves is on the tree is 200.

Given that,

There is 40% of the leaves that should be yellow.24% of them should be green.And, the remaining should be 72 leaves that represent half yellow.

Now as per the above explanation:

The percentage of half yellow trees should be

= 100 - 40 + 24

= 100 - 64

= 36

Here we assume the number of leaves on the tree be x

So,

36% of x = 72

x = 200

Therefore we can conclude that the number of leaves is on the tree is 200.

Learn more about the tree here: brainly.com/question/2656951

Plz help on BOTH of the questions

Answers

Answer:

4.30000x(1+3%)x10%=$3090

5. 20x1.5x2.1=63

Step-by-step explanation:

What is the rate of change of
the function when x=-1 and
x = 1?
A
A. 2
B. 4
C. -2
D. -4
0.

Answers

Answer:

c!!!!!!!!!!!!!!!!!!!

40 is 8% of what number?​

Answers

Answer:

500

Step-by-step explanation:

40×100÷8=500

Number 40 is 8 percent of 500.

What is the percentage?

The percentage refers to a number that is out of 100. When describing components of a whole in mathematics, percentages are employed similarly to fractions and decimals. When employing percentages, the idea is that there are 100 equal pieces that make up the whole. In addition to the shorthand "pct," which is used less frequently, the symbol "%" is used to indicate that a number is a percentage.

Let the unknown number be "x" whose 8% is 40.

Hence,

8% of x = 40

1% of x = 40/8 = 5

Thus, the value of x = 500

Therefore, 8 percent of 500 if 40.

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Please I need help does anyone know a hack for khan academy

Answers

Answer:

Answer:

0.3643

Step-by-step explanation:

Standard Form and Scientific Notation

What is standard form of numbers?

Standard form is the normal way of writing numbers no matter how big or small the number is.

Examples:

15,000,000

0.0000000678

What is scientific notation?

Scientific notation is a different way of expressing numbers. It is a short way of expressing very big numbers or very small numbers. It is also known as exponential form. Scientific notation is written as the product of a number and a power of 10.

Examples:

1.3 × 10⁶

34.5 × 10^⁻9

Going back to the question above, we need to convert the given scientific notation to its standard form.

Converting of Scientific Notation to Standard Form

To convert a number from scientific notation to standard form, move the decimal point.

The exponent tells the direction and the number of times we need to move the decimal point.

The positive exponent indicates a large number so we need to move the decimal point to the right.

The negative exponent indicates a small number so we need to move the decimal point to the left.

Do not write the power of 10 anymore.

Solution:

Now, let us convert 3.643 x 10^-1 in standard form.

The exponent is negative 1 so we will move the decimal point to the left once.

3.643 = 0.3643

can you guys help me out

Answers

Answer:

a. S = 3n + 2

b. There while be 62 squares.

Step-by-step explanation:

We know the first term of this sequence is 5. To figure out the equation, subtract the following term from the previous. Do you see a common difference?

8 - 5 = 3

11 - 8 = 3

14 - 11 = 3

We're seeing a constant difference of 3 (which makes this an arithmetic sequence), but the first term is 5. That mean something is being added to make the first term 5. Subtract 3 from 5 to get 2. This means 2 is being added to every multiple of 3, which leads us to the equation: S = 3n + 2.

To find the 20th term of this sequence, substitute n for 20 and do the operations.

S = 3(20) + 2

Multiply 3 by 20, then add 2.

S = 62

The 20th term will have 62 squares.

How do I know if it is sss, sad, asa, or aas?

Answers

i have attached a image which may help u <3

Find the area of the circle. Use 3.14 or 22/7 for pi. Round your answer to the nearest hundredth, if necessary.

Answers

Step-by-step explanation:

Given

diameter (d) = 9 ft

radius (r) = 9/2 = 4.5 ft

Area of the circle

= πr²

= 3.14 * ( 4.5) ²

= 3.14 * 20.25

= 63.585

= 63.59 ft

Hope it will help :)

Distance=7cm/1yrx1000yr=

Answers

9514 1404 393

Answer:

  70 m

Step-by-step explanation:

Perhaps you want to evaluate the expression:

  [tex]\dfrac{7\text{ cm}}{1\text{ yr}}\cdot 1000\text{ yr}=7000\text{ cm}=70\text{ m}[/tex]

__

There are 100 cm in 1 m. The units of yr cancel.

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