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
Marina86 [1]
3 years ago
10

How to find the minimum value of an expression

Mathematics
2 answers:
AURORKA [14]3 years ago
8 0
Your answer is positive
Tanya [424]3 years ago
7 0
f(x)=9x²+24x+1
f(x)=(3x)²+ 2×3x× 4 + 1
= (3x)²+2×3x×4 +16 -16 +1
=. ( 3x+4)² -15. -------(1)
then (3x+4)² ≥0
least value of (3x+4)² is 0
putting in equation 1
= 0-15 =-15
- 15 is the least value
You might be interested in
On Saturday, Quentin will earn $15 more than 2 times the amount of money he earned on Friday. If Quentin earned d
Licemer1 [7]
Your anwser will be (A) - 2d+15
6 0
2 years ago
.
NISA [10]

Answer:

B

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
David has a circular rug with a diameter of 14 feet. How much floor will the rug cover?
Mazyrski [523]
The answer to your question is c the rug will cover 14 feet of the floor
7 0
3 years ago
7 divided by 4 x + 3 Y + 4 divided / 4 x minus 3 Y is equal to 5 / 4
DerKrebs [107]

9514 1404 393

Answer:

  (x, y) = (4, 4)

Step-by-step explanation:

If you attempt to solve this by clearing fractions, you end up with an extraneous solution. Here, we'll solve the linear equations ...

  7a +4b = 5/4

  8b -14a = 3/2

where a = 1/(4x+3y) and b = 1/(4x-3y)

Dividing the second equation by 2 and adding the first, we have ...

  (7a +4b) +1/2(8b -14a) = (5/4) +1/2(3/2)

  8b = 8/4

  b = 1/4

Substituting into the first equation gives ...

  7a +4/4 = 5/4

  a = 1/28

__

Now, we can get back to solving for x and y.

  4x +3y = 1/a = 28

  4x -3y = 1/b = 4

  8x = 32 . . . . . . . . . add the two equations

  x = 4

  3y = 28 -4x = 28 -4(4) = 12 . . . . . use x in the equation for 'a'; rearrange

  y = 4 . . . . divide by 3

The solution to the system of equations is (x, y) = (4, 4).

_____

<em>Additional comment</em>

If you graph these equations, you find they describe hyperbolas that intersect at (0, 0) and (4, 4). The "solution" (0, 0) is extraneous, as both equations are undefined there.

7 0
2 years ago
You drive 15 miles in one fourth of an hour. What is your average speed?
Mazyrski [523]
Hello ! I'm happy to help
the answer all revolves around this simple formula:
speed= distance/time
since you were driving for 1/4 of an hour that's 15 minutes
and we already know that you traveled 15 miles
so the speed would equal 15 miles every 15 minutes
if you want to find the total distance travelled is 15x15 =225
6 0
3 years ago
Other questions:
  • A wedge of cheese in the shape of a triangular prism is shown below.
    7·1 answer
  • ILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST
    12·2 answers
  • 12 is to 60 as 5 is to ?
    6·2 answers
  • Six students shared equally the cost of 18 of one of the items in the chart. Each student paid $24. What item did they buy? Expl
    12·1 answer
  • A garden is rectangular with an area of 6/7 square miles. If the length of the garden is 3/5 miles, what is its width?
    13·1 answer
  • Company ABC produces widgets. They have found that the cost, c (x), of making x widgets is a quadratic function in terms of x. T
    12·1 answer
  • Of the 600 workers at a factory, 8.5% belong to a union. how many workers are in the Union?
    10·2 answers
  • What is the greatest common factor Of 60 45 and 75
    5·2 answers
  • What is the value of x?<br> Enter your answer in the box.<br> mm
    10·1 answer
  • Find the missing side or angle round to the nearest tenth b=15 a=30 c=29 A=[?]°
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!