answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
just olya [345]
2 years ago
9

Consider the first five steps of the derivation of The Quadratic function

Mathematics
1 answer:
Burka [1]2 years ago
7 0

Answer:

Step-by-step explanation:

  • pick like terms

x² +  b²/4a² = -c / a + b²/4a²

  • b²/4a² = (b/2a)²

x² + (b/2a)² = -c/a + (b/2a)²

(x + b/2a)² = -c/a + (b/2a)² =  -c / a + b²/4a² = (-4ac+ b²)/4a²

(x + b/2a)² =  (-4ac+ b²)/4a²

  • square root both sides

√{(x + b/2a)²} = √{(-4ac+ b²)/4a²}

x + b/2a = √(-4ac+ b²) / √(4a²) = √(-4ac+ b²) / 2a = √( b²-4ac) / 2a

x + b/2a  =  √( b²-4ac) / 2a

  • subtract b/2a from both sides

x + b/2a -b/2a  =  {√( b²-4ac) / 2a } -b/2a

x = -b/2a +   {√( b²-4ac) / 2a }

  • the l.c.m is the same

x = {-b±√( b²-4ac)}/2a

You might be interested in
jeff lives 12 miles east of stan jeff lives 16 miles north of wei what is the shortest distance stan and wei can live from eacho
murzikaleks [220]
The shortest distance would be from both cause they are bath the same length
8 0
2 years ago
A rectangle’s width is 2 meters shorter than its length, l. Its area is 168 square meters. Which equation can be used to find th
Dmitry [639]
The area (A) of the triangle is the product of its length (l) and width (w). A = l x w. Since the width is 2 m shorter than the length, it may be expressed as w = l -2. The equation for area becomes,
                          A = l x (l - 2)
Substituting the known area and rearranging the equation gives,
                           l(l - 2) = 168.
8 0
2 years ago
Read 2 more answers
A pet store owner set the price of a bag of cat food at 50% above the cost. When it did not sell, the price was reduced by 20%,
algol [13]

Answer:

60

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
The price of a 200000 home listed by remax was reduced by 1/20. What is the new price?
expeople1 [14]
Hello,

shall we begin?

1o = 1/20 = 1:20 = 0,05
2o = 200.000 price of home

New price of home:
= 200,000 - ( 200,000 * 0,05) 
= 200,000 - 10,000
= 190,000


<span>Answer: 190,000   Good studies !!!</span>
4 0
2 years ago
Restaurant charges an automatic gratuity of 18% on tables with more than 6 people. A party of 8 had a bill of p. Which expressio
noname [10]
Since there are more than 6 people at the table, we know that the 18% gratuity is going to be charged. In order to multiply a number by a percent, you need to first convert it to a decimal and 18% as a decimal is .18. Just the gratuity would be .18p, but, this is where they're trying to trick you. It is asking for the total cost of the meal including gratuity. The whole meal is 100%, so you add 100%to 18% and get 118%. 118% converted to a decimal is 1.18, so the total cost of the meal including gratuity can be expressed by 1.18p.
8 0
2 years ago
Read 2 more answers
Other questions:
  • If f(x)=x2+10sinx, show that there is a number c such that f(c)=1000.
    11·1 answer
  • on a nearby pond, black and white ducks are swimming in groups of three. James wants to find the experimental probability of two
    9·2 answers
  • The combined average weight of an okapi and a llama is 450450450 kilograms. The average weight of 333 llamas is 190190190 kilogr
    8·2 answers
  • Two brothers build a pyramid-shaped fort. If the fort is 8 feet wide at its base, what expression could be used to calculate the
    15·2 answers
  • Harvey the wonder hamster can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate. Find his average speed in kilometers per
    15·2 answers
  • A research submarine descends 65 meters per minutes to a depth of 4485 m, conducts experiments, and then ascends at a rate of 65
    9·2 answers
  • Identify the equation of the circle that has its center at (10, 24) and passes through the origin.
    9·1 answer
  • Evaluate e − 1 2 f e− 2 1 ​ fe, minus, start fraction, 1, divided by, 2, end fraction, f when e = 15 e=15e, equals, 15 and f = 2
    8·3 answers
  • This diagram shows triangles ABC and PQR. ABC is mapped to PQR by combining two single transformations. The first is a rotation
    14·1 answer
  • . Luego de perder en forma sucesiva 1/3 y 2/5 de lo que le iba quedando, Alfredo gana en forma consecutiva sus 3 últimos juegos:
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!