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
lubasha [3.4K]
3 years ago
10

PLSSS HELP State the maximum number of turns the graph of each function could make 1. f(x)=x^5-3x+1 2.f(x)=-x^7-7x^5-4x^3

Mathematics
1 answer:
3241004551 [841]3 years ago
7 0

Answer:

  1. max for 5th-degree: 4 turns. This function: 2 turns.
  2. max for 7th-degree: 6 turns. This function: 0 turns.

Step-by-step explanation:

In general, the graph of an n-th degree function can make n-1 turns. However, in specific cases, the number of turns is limited by the number of real zero-crossings of the derivative.

__

1. This 5th-degree function can have at most 4 turns. However, the derivative, f'(x) = 5x^4 -3, has only two (2) real zeros. Hence the graph of this function can only have 2 turns.

__

2. This 7th-degree function can have at most 6 turns. However, the derivative, f'(x) = -7x^6 -35x^4-12x^2, has an even-multiplicity root at x=0 only. The derivative never crosses 0. Hence the graph makes no turns.

You might be interested in
During an evening out, Dean paid a cab driver $20. He then spent $25 on dinner and half of his remaining money on a painting. He
rodikova [14]
20+25 divided by 2 +23.75 - 42.15 = 4.100...
8 0
3 years ago
This recipe will serve 12 pancakes.
lina2011 [118]

Answer:

for 24 pancakes, double the ingredients and for 6 pancakes divide the ingredients' by 2

6 0
3 years ago
The angle measures associated with which set of ordered pairs share the same reference angle? (Negative StartFraction StartRoot
Katarina [22]

Answer:

(C)\left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)

Step-by-step explanation:

The reference angle is the angle that the given angle makes with the x-axis.

For an ordered pair to share the same reference angle, the x and y coordinates must be the same or a factor of each other.

From the given options:

(A)\left(-\dfrac{\sqrt{3} }{2} ,-\dfrac{1 }{2}\right)$ and \left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)\\\\(B)\left(\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(-\dfrac{\sqrt{3} }{2}, \dfrac{1 }{2}\right)\\\\(C)\left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)\\\\(D)\left(\dfrac{\sqrt{3} }{2},\dfrac{1 }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)

We observe that only the pair in option C has the same x and y coordinate with the second set of points being a negative factor of the first term. Therefore, they have the same reference angle.

5 0
3 years ago
Read 2 more answers
Find m angle TUV if m angle TUN=1+38 pi m angle NUV=66^ m angle TUV=105x
ipn [44]

Answer:

m∠TUV = 105

Step-by-step explanation:

From the question given above, the following data were obtained:

m∠TUN = 1 + 38x

m∠NUV = 66°

m∠TUV = 105x

m∠TUV =?

Next, we shall determine the value of x. This can be obtained as illustrated below:

m∠TUV = m∠TUN + m∠NUV

105x = (1 + 38x) + 66

105x = 1 + 38x + 66

Collect like terms

105x – 38x = 1 + 66

67x = 67

Divide both side by 67

x = 67 / 67

x = 1

Finally, we shall determine the value of m∠TUV. This can be obtained as shown below:

m∠TUV = 105x

x = 1

m∠TUV = 105(1)

m∠TUV = 105

5 0
3 years ago
If KG=9 and IG=12, what is the length of GM ?
Tomtit [17]

Answer:

Gm would equal 16

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Claire and two friends went out for cake and coffee. The total cost of the
    14·1 answer
  • Consider the words typically associated with geometry. Are there any words that would be hard to precisely define? What words ca
    8·2 answers
  • Which of the following statements is not true?
    8·1 answer
  • Which fraction is equivalent to 0.3636?
    5·1 answer
  • The OTC monograph for a specific class of ingredients was codified in an official, legally binding
    6·2 answers
  • Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of
    14·1 answer
  • How are <1 and <2 related
    14·1 answer
  • Plsss school is done hurt plsss answer really quick
    9·1 answer
  • 0.3 × 4.24<br> help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
    11·2 answers
  • 24.) A number, whose factors is both 3 and 4,is a multiple also of what number?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!