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
Find the slope of the line through p(-9,-3) and q(-5,-15)
irina [24]
Slope = (-3 - (-15))/(-9 - (-5)) = - 12/4 = -3
4 0
3 years ago
Read 2 more answers
Which statement correctly compares the two functions? A. They have the same end behavior as x approaches [infinity], but they ha
OLga [1]

Answer:

A. They have the same end behavior as x approaches [Infinity], but they have different x- and y- intercepts.

Step-by-step explanation:

The x and y intercepts in mathematics can depict more than one function. They can have same end behavior as x approach. The x and y intercepts can be different for the two functions.

5 0
3 years ago
How do you solve this? <br> Look at attached file please...I'm really confused!
il63 [147K]

Answer:

X=18, Y=6

Step by Step Explanation:

This is a little long winded.. Let's solve for Y first.

First looking at the problem, you can note a few things. First of all, there is an Isosceles triangle, and there is an equilateral triangle. Where they connect, there is a 90° angle.

Now, all equilateral triangles have the same angle measurement. 60°. Now, if you look where the right angle is, it is showing a 60° angle, a total of 90°, and an unknown area. So simply subtract. 90-60=30. Divide that by 5, and you have your answer of 6.

Now let's solve X. X is very simple. On an isosceles triangle, the two top sides are the same length. And one of the top sides is the same size as the equilateral triangle. And on equilateral triangles, all sides are the same.

So the 11 transfers over to the X side. So let's make a small equation. 11=X-7. To make it even, let's add 7 to both sides. 11+7=X+7-7. Simplify to get 18=X, which is your answer.

5 0
3 years ago
Read 2 more answers
Marcus goes to the park, which is 4 miles away. He walks 5/12 of the way and then jogs the rest of the way. How many miles does
lions [1.4K]
Key words of this equation are of which means multiply. This means that essetnially it is expressing 4/1 multiplied by 5/12 which is 20/12 which is 1.7 (rounded)
3 0
3 years ago
840000 rounded to the nearest hundred thousand
arlik [135]

Answer:

its rounded to near 800,000

Step-by-step explanation:

Pls give me brainliest if it helped!

3 0
3 years ago
Read 2 more answers
Other questions:
  • The first three steps of completing the square to solve the quadratic equation x^2+4x-6=0 are shown below.
    14·1 answer
  • Please answer ASAP! Due 2/11/2020
    9·1 answer
  • thirty five percent of the revenue produced at the auction will go to the charity. the morning participants spent an average of
    6·1 answer
  • I
    8·2 answers
  • A math teacher graded 45 problems in 3/5 of an hour. At that rate, how many problems can she grade in one hour
    12·2 answers
  • If I go into a pizza house, and I have the choice of having one of 3 different types of dough, with one of 7 different toppings,
    12·1 answer
  • Write the decimal 0.8¯¯¯ as a fraction in simplest form.
    12·1 answer
  • How many permutations of letter of the word APPLE are there?​
    5·1 answer
  • Is 0.528176817681768176 rational or irrational
    12·2 answers
  • Pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!