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
motikmotik
3 years ago
5

Find the intervals on which the function is increasing or decreasing.

Mathematics
1 answer:
Assoli18 [71]3 years ago
6 0
To solve this, you have to know that the first derivative of a function is its slope. When an interval is increasing, it has a positive slope. Thus, we are trying to solve for when the first derivative of a function is positive/negative.

f(x)=2x^3+6x^2-18x+2
f'(x)=6x^2+12x-18
f'(x)=6(x^2+2x-3)
f'(x)=6(x+3)(x-1)
So the zeroes of f'(x) are at x=1, x=-3
Because there is no multiplicity, when the function passes a zero, he y value is changing signs.
Since f'(0)=-18, intervals -3<x<1 is decreasing(because -3<0<1)
Thus, every other portion of the graph is increasing.
Therefore, you get:

Increasing: (negative infinite, -3), (1, infinite)
Decreasing:(-3,1)
You might be interested in
What is 4% as a simplified fraction?
zysi [14]
4% is the same as .04 and 4/100. 4/100 can be simplified to 1/25 by dividing both sides of the fraction by 4
7 0
3 years ago
Find the area of this trapezoid
kiruha [24]

Answer:

a= 1024

Step-by-step explanation:

6 0
3 years ago
Camila sets up a passcode on her tablet, which allows only nine-digit codes. A spy sneaks a look at Camila's tablet and sees her
laila [671]

Answer:

\frac{1}{10^9} probability the spy is able to unlock the tablet on his first try.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

1 correct password, so D = 1

Total outcomes:

Nine-digit codes.

For each digit, there are 10 possible outcomes. So

T = 10^9

What is the probability the spy is able to unlock the tablet on his first try?

p = \frac{D}{T} = \frac{1}{10^9}

\frac{1}{10^9} probability the spy is able to unlock the tablet on his first try.

7 0
3 years ago
How many lines of symmetry are in the regular pentagon <br><br>O A. 3<br>O B. 5<br>O C. 7<br>O D. 9​
stiks02 [169]

Answer:

5

Step-by-step explanation:

There is one line of symmetry for each side of the pentagon.

7 0
3 years ago
If two distinct planes intersect , then their intersection is a line . Which geometry term does the statement represent
Rom4ik [11]

Answer:

POSTULATE

Step-by-step explanation:

<em>A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven </em>

<em> </em>

<em>  </em>

<em> </em>

<em>In geometry, the theorem is considered valid or correct with which its assertion is practically not refuted by almost anyone, whether it is really true or not. </em>

<em> </em>

<em>  </em>

<em> </em>

<em>This, in practice, implies that all students of the subject share the same criteria on the theory. Thus, the postulates, in short, have the following characteristics: </em>

<em> </em>

<em>  They are presumed true by most of the scholars in the field. </em>

<em> </em>

<em>Its contradiction goes against the very essence of the subject. </em>

<em> </em>

<em>Postulate 6: If two planes intersect, then their intersection is a line.</em>

<em />

<em>See Attachment for Details ^^</em>

<em>The image attached  represents the statement given in the question (If two distinct planes intersect, then their intersection is a line)</em>

<em>Therefore</em><em>, </em>

<em> </em>

<em>The Geometry term that represents the statement above is POSTULATE</em>

5 0
3 years ago
Other questions:
  • An object was thrown upward from the top of an 80ft tower. The height h of the object after t seconds is represented by the quad
    13·2 answers
  • Find the value of x <br> (5x+12) (3x+8) <br> a 10 <br> b 15 <br> c 20 <br> d 25
    12·2 answers
  • What is the measure of ∠W, rounded to the nearest degree?
    10·2 answers
  • The function is given by the formula f(x)=3x+2.
    12·1 answer
  • What is the slope of x=18?
    6·1 answer
  • - (6,1),(-6,1)<br> What is the slope
    6·1 answer
  • 1 point
    15·1 answer
  • If u = 4 inches, v = 5, w = 7 inches, x = 6 inches, y = 8 inches, and z = 5 inches, what is the area of the object
    11·1 answer
  • If the sum of a number and four is doubled, the result is one less than the number. Find the number.
    6·1 answer
  • M − 56/–7 = –6<br> solve for m
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!