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
sattari [20]
3 years ago
14

(a)Use differentiation to find the minimum value of f(x)= 3x^2 - 5x + 10 and the value(s) of x for which this minimum occurs.

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
3 0

Hi there!

Begin by differentiating f(x) using the power rule:

dy/dx = nxⁿ⁻¹

Therefore:

f(x) = 3x² - 5x + 10

f'(x) = 6x - 5

Set this equation equal to 0 to find the x-intercept:

0 = 6x - 5

5 = 6x

x = 5/6, which is where the graph goes from NEGATIVE to POSITIVE, so there is a MINIMUM at this value.

You might be interested in
What is the solution to the equation <br><br> 7(3-x)=-7(x+3)-4
marissa [1.9K]

Answer:

No solution

Step-by-step explanation:

21−7x=−7x−21−4

21−7x=−7x−25

21=−25

No solution

4 0
3 years ago
Answer? with solution please. Will automatically report kung wala:)
serious [3.7K]

Answer:

B

Step-by-step explanation:

Communitive only works with multiplication and addition. It states that if you have something adding or subtracting something switched around, they are the same. B has that so the answer is B

Can I have Brainliest?

4 0
3 years ago
The sound intensity of rustling leaves is 100 times the reference intensity. Use your graph to determine the sound intensity of
wariber [46]

The sound intensity of rustling leaves,  y = 20 decibels

<u>Step-by-step explanation:</u>

y = 10logx

The sound intensity of rustling leaves is 100 times the reference intensity.

x = ratio of intensity of sound to reference to intensity

x = 100:1 or x = 100

y = 10 log(100) = 10 * 2 = 20 decibels

y = 20 decibels

4 0
3 years ago
Read 2 more answers
Which of the following describes similarity in general
sweet [91]
Similarity is the comparison between two things in a fashion that shows what is similar or shared between those two things. Similar qualities, similar behaviors, etc are all categorized as a similarity comparison.
7 0
3 years ago
Last year, about 2,400 people participated in a local Fourth of July parade. This year, about 3,200 people participated. What wa
stich3 [128]

Answer:

800 people a year

Step-by-step explanation:

4 0
4 years ago
Other questions:
  • Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).
    8·1 answer
  • The sales tax on a surfboard is 12$ .what is the percent of sales tax
    5·1 answer
  • What's 5x10 exponent 1
    14·2 answers
  • You have 3/6 cup of brown sugar in your cupboard. The recipe for a dessert
    14·1 answer
  • How many different​ 10-letter words​ (real or​ imaginary) can be formed from the following​ letters? R, K, K, A, P, T, K, P, Q,
    6·1 answer
  • The sign shows the cost associated with a white water rafting trip write an expression to determine the cosr of 3 children abd 1
    13·1 answer
  • BRAINLEST: Without shipping costs, a textbook costs $11.17 from a particular online
    6·1 answer
  • Let f(x) = 5x ^ 2 - x + 1 and g(x) = - 3x . Evaluate the composition (fg)(1)
    9·2 answers
  • Plz help me with this
    11·1 answer
  • Tony’s investments lost $12,545.50 in value over the past 2.5 months. On average, how much did his investments change each month
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!