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
nalin [4]
4 years ago
4

Express x^2-5x+8 in the form (x-a)^2+b

Mathematics
1 answer:
Crazy boy [7]4 years ago
5 0

Answer:

x^2 - 5x + 8 = (x - 5/2)^2 + 7/4

Step-by-step explanation:

(x - a)^2 + b = x^2 - 2ax + a^2 + b

equate to your quadratic :

x^2 - 5x + 8 = x^2 - 2ax + (a^2 + b)

equating coefficients (ignoring x^2 as the coefficient is 1 for both)

for x :

-5 = -2a --> a = 5/2

for x^(0) : 8 = a^2 + b , note a = 5/2

thus,

8 = (5/2)^2 + b

8 = 25/4 + b

b = 8 - 25/4 = 32/4 - 25/4 = (32 - 25)/4 = 7/4

hence a = 5/2 , b = 7/4

thus,

x^2 - 5x + 8 = (x - 5/2)^2 + 7/4

You might be interested in
What do you subtract from -3 td get positive 4?*
kogti [31]

Answer:

7

Step-by-step explanation:

3 0
3 years ago
Two of the biggest disadvantages of the corporate form of business are government regulation and corporate
ch4aika [34]

One of the biggest downsides for businesses (besides government regulation) is taxes.

<h3>What are taxes?</h3>

The tax is a term to refer to a tribute that must be paid by an individual or group of people associated with a state without direct consideration.

<h3>How do taxes affect businesses?</h3>

Taxes affect companies because the state establishes some special taxes for companies to export or import their products. In some cases, they are also assigned a tax for receiving large amounts of money as profit for their services.

Learn more about taxes in: brainly.com/question/1362871

5 0
2 years ago
help me with measurement please! if a square can become a rectangle can a rectangle become a square?
yawa3891 [41]
<span>Actually, every square is a rectangle, since the angles in a square are always right angles. That's more than saying that a square can be a rectangle; it is one.
</span><span>
And since squares are rectangles, you know that some rectangles are squares--namely, the squares are!
</span>
<span>We teach children "this is a rectangle, that is a square. The rectangle's sides are different lengths". But when you grow up, it's important to think of the square as a SPECIAL rectangle, because it is all that a rectangle is, and more.
</span>
A square is still a rectangle, but it's not just a rectangle, it's a (pedigreed) square.
In summary, yes a rectangle can be a square.

Hope this helped :)
8 0
4 years ago
Write an equation that describes the function.
Leona [35]
From the points you get a slope of -1 using the slope in y=mx+b you get b=1 so y=-x+1
5 0
3 years ago
Read 2 more answers
What is the solution to this equation? 2ln4+lnx=3ln2+ln(x+1)
Galina-37 [17]

Answer:

x=1

Step-by-step explanation:

Given equation:

2 \ln 4+\ln x=3 \ln 2+\ln(x+1)

\textsf{Apply the power law}: \quad n \ln x = \ln x^n

\implies \ln 4^2+\ln x=\ln 2^3+\ln(x+1)

Simplify:

\implies \ln 16+\ln x=\ln 8+\ln(x+1)

Subtract ln 8 from both sides:

\implies \ln 16+\ln x- \ln 8=\ln(x+1)

Subtract ln x from both sides:

\implies \ln 16-\ln 8=\ln(x+1)-\ln x

\textsf{Apply the quotient law}: \quad \ln x - \ln y = \ln \frac{x}{y}

\implies \ln \left\dfrac{16}{8}\right = \ln \left(\dfrac{x+1}{x}\right)

Simplify:

\implies \ln 2 = \ln \left(\dfrac{x+1}{x}\right)

\textsf{Apply the equality law}: \quad \textsf{if }\: \ln x= \ln y\:\textsf{ then }\:x=y

\implies 2=\dfrac{x+1}{x}

Multiply both sides by x:

\implies 2x=x+1

Subtract x from both sides:

\implies x=1

5 0
2 years ago
Other questions:
  • Can somebody please help me with 10 Probability #?
    14·1 answer
  • A band has 36 members. They are arranged into 6 equal rows. How many band members are in each row? Can the same 36 members be pl
    9·1 answer
  • Jennifer wants to see if the color of the testing room causes test anxiety. She asks 100 participants to come to a modified clas
    10·1 answer
  • Hello, I need help understanding this problem.
    7·1 answer
  • A basketball player averages 12.5 points per game. There are 24 games in a season. At this rate, how many points would the playe
    13·2 answers
  • (26 POINTS) !Based On the information in the table, is the cost of the apples proportional to the weight of apples ?
    7·2 answers
  • Solve the system using elimination (4x-7y=3 x-7y= -15)
    13·1 answer
  • Please help me with this
    9·1 answer
  • Please help with the attached question :))
    6·2 answers
  • Help!! what do i do?!?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!