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
pshichka [43]
2 years ago
8

Rewrite the function by completing the square. f(x)=x^2+x-30 It’s supposed to look like this f(x)= (x+ )^2+ .

Mathematics
1 answer:
leonid [27]2 years ago
3 0

Answer:

f(x)=(x+1/2)^2 +(- 30.25)

Step-by-step explanation:

In this question we are required to rewrite the given function by using completing the square method.

Completing the square method requires that our given equation can be written in form: (a\pm b)^2 = a^2 \pm 2ab +b^2

SO, we have to transform our equation according to above format.

Since our equation is x^2+x-30, we will transform it into

(a + b)^2 = a^2 + 2ab +b^2

because the middle term of given equation has + sign.

x^2+x-30=0\\x^2+x=30\\x^2 + 2(x)(1/2) + (1/2) ^2 = 30 + (1/2)^2

We have introduced (1/2)^2 on both sides of the equation to gain the required form.

(x+1/2)^2 = 30.25\\(x+1/2)^2 - 30.25 = 0\\f(x) = (x+1/2)^2 +(- 30.25)

Our answer is f(x)=(x+1/2)^2 +(- 30.25)

You might be interested in
a map has a scale of 2 in : 6 mi if clayton and centerville are 10 in apart on the map then how far apart are the real cities
Ahat [919]
I"m pretty sure they would be 60 mi apart
5 0
2 years ago
Can anyone help me with this ?
lorasvet [3.4K]
The square root of 24 simplifys to:

√24
2√6

Since √6 is inbetween √4 and √9, it is somewhere in between 2 and 3. Really, the best option is to use a calculator.√24 is approximately 4.9. <span />
4 0
3 years ago
Determine the value for b assuming that the two horizontal lines displayed are parallel.
Neko [114]

Answer:

29

Step-by-step explanation:

8 0
3 years ago
Solve the equation: 5/6 = 1/3 + D
Sauron [17]
Answer: \frac{1}{2} 
 
Explanation:
\frac{5}{6} =  \frac{1}{3}  + D 
\frac{5}{6}  -  \frac{1}{3} = \frac{1}{3}  -  \frac{1}{3} + D 
\frac{5}{6} -  \frac{1}{3} = D 
\frac{5}{6} - 2(\frac{1}{3}) = D
\frac{5}{6} - \frac{2}{6} = D 
\frac{3}{6} = D = \frac{1}{2}
8 0
3 years ago
Is this set of numbers a Pythagorean triple? yes or no
Kaylis [27]

<u>Answer</u>:- No.

<u>Explanation</u> :-

<u>Substitute these numbers in pythagoras theorem to check if the set of numbers is a pythagorean triplet.</u>

<u>Pythagoras theorem</u> :- sq. of hypotenuse (longest side) is equal to the sum of sq.s of other two sides.

<u>Here</u>,

hypotenuse = 12 (as it is the longest side)

and other two sides are 6 and 9.

----> 6^2 + 9^2 = 12^2

----> 36 + 81 = 144

----> 117 = 144

Since, LHS is not equal to RHS, this set of numbers is not a pythagorean triplet.

8 0
3 years ago
Other questions:
  • 1. A coin-operated drink machine was designed to discharge a mean of 7 ounces of coffee per cup. In a test of the machine, the d
    13·1 answer
  • 1050 households in the town how many own a dog
    13·1 answer
  • Maurice bought 16.1 yards of material for costumes for a play. If each costume used 2.3 yards of material, how many costumes is
    5·1 answer
  • Please Answer I Need It Quick Will Mark Brainly
    5·1 answer
  • A train leaves little rock Arkansas, travels north at 85 kilometers per hour. another train leaves same time and travels south a
    15·1 answer
  • The experimental probability that Alexander wins tennis match is 0.21 or 21/100
    9·1 answer
  • 5)
    7·1 answer
  • Factor out the GCF from the polynomial.<br> x^4+5x^3
    11·1 answer
  • The quadratic function g(x)=ax^2+bx+c has the complex roots (-7+4i) and (-7-4i)
    7·1 answer
  • )) Which sign makes the statement true?<br> 47.1% ? 47%<br> &lt;<br> =<br> Submit
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!