1answer.
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]
3 years ago
9

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

Mathematics
1 answer:
Burka [1]3 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
What dose this mean ???
Lera25 [3.4K]
Ummm i don’t know sorry
4 0
3 years ago
What is the value of x?
mars1129 [50]

Answer:

x = log(1/g^6)/log(g) + (2 i π n)/log(g) for n element Z

Step-by-step explanation:

Solve for x:

g^x + 1/h^3 = 1/g^6 + 1/h^3

Subtract 1/h^3 from both sides:

g^x = 1/g^6

Take the logarithm base g of both sides:

Answer: x = log(1/g^6)/log(g) + (2 i π n)/log(g) for n element Z

8 0
3 years ago
What is Tarzan's favorite game to play?
alexandr1967 [171]
Hide and swing

It's where u have to hide and whenever you get caught you have to swing on vines to get away XD
6 0
3 years ago
3. The area of a rectangular deck, in square meters, is given by the polynomial 40p2 + 24p.
lorasvet [3.4K]

Answer:

Length = 5p + 3

Perimeter = 26p + 6

Step-by-step explanation:

Given

Area = 40p² + 24p

Width = 8p

Solving for the length of deck

Given that the deck is rectangular in shape.

The area will be calculated as thus;

Area = Length * Width

Substitute 40p² + 24p and 8p for Area and Width respectively

The formula becomes

40p² + 24p = Length * 8p

Factorize both sides

p(40p + 24) = Length * 8 * p

Divide both sides by P

40p + 24 = Length * 8

Factorize both sides, again

8(5p + 3) = Length * 8

Multiply both sides by ⅛

⅛ * 8(5p + 3) = Length * 8 * ⅛

5p + 3 = Length

Length = 5p + 3

Solving for the perimeter of the deck

The perimeter of the deck is calculated as thus

Perimeter = 2(Length + Width)

Substitute 5p + 3 and 8p for Length and Width, respectively.

Perimeter = 2(5p + 3 + 8p)

Perimeter = 2(5p + 8p + 3)

Perimeter = 2(13p + 3)

Open bracket

Perimeter = 2 * 13p + 2 * 3

Perimeter = 26p + 6

4 0
4 years ago
What’s the correct answer 9x+3-5x >2
marta [7]

Answer:

x>-1/4

Step-by-step explanation:

9x+3-5x>2

9x-5x+3>2

4x+3>2

4x>-1

x>-1/4

Therefore, x>-1/4

5 0
3 years ago
Other questions:
  • Emma buys and sells truck parts. she bought two tires for 35.00 each and later sold them for 65.00 each. She bought three rims f
    7·2 answers
  • Solve for s in the proportion.
    15·1 answer
  • Cards in a pack are black or red in the ratio black : red=2 : 5
    5·1 answer
  • 46 lbs of apples cost $414. How much would 29 lbs cost?
    13·1 answer
  • North Carolina has 12 less electoral votes
    12·1 answer
  • find the missing value so that the line passing through the points has the given slope (x,-4) and (2, 8); m=-3
    14·1 answer
  • Help me pls im on a timer
    10·2 answers
  • Simplify:<br> 4 x - -5х + 3x- x+2х - 7х
    12·1 answer
  • How many solutions does the equation 3x-9=3(x-3) have ?
    7·2 answers
  • water is pouring at a constant rate into a tank that is a 4-foot-high rectangular solid. if the warer was turned on at 11:00 and
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!