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
stepladder [879]
2 years ago
9

The function f(x) = -2x5 + x3 − 7x is an odd function. Which rule is satisfied by this function?

Mathematics
1 answer:
Virty [35]2 years ago
7 0

Answer:

-f(-x) = f(x)

Step-by-step explanation:

Given function is:

f(x)= -2x^5+x^3-7x

To check if a function is even, it is checked that:

f(-x)=f(x)

If f(-x) gives the original function then the function is said to be even.

And if:

-f(-x)=f(x)

which means if –f(-x) gives the original function, then the function is odd. So a function has to satisfy this rule to be an odd function.

Now for the given function:

-f(-x)= -[-2(-x)^5+(-x)^3-7(-x)]

= -[(-2)(-x^5 )+(-x^3 )+7x]

= -( 2x^5- x^3+7x)

Multiplying the negative sign

-f(-x)= -2x^5+x^3-7x

-f(-x)=f(x)

So, the function satisfies this rule to be an odd function. ..

You might be interested in
How long will it take $5500 to grow to $7400 at an interest rate of 5% it the interest is compounded continuouslyRound the numbe
Thepotemich [5.8K]

Answer:

 5.93 years

Step-by-step explanation:

The continuous compounding formula tells you the amount after t years will be ...

  A = Pe^(rt) . . . . principal P compounded continuously at annual rate r for t years

  7400 = 5500e^(0.05t)

  ln(7400/5500) = 0.05t . . . . divide by 5500, take natural logs

  t = 20×ln(74/55) ≈ 5.93

It will take about 5.93 years for $5500 to grow to $7400.

8 0
2 years ago
VERY EASY HALP PLEASE
Nina [5.8K]
The second option ! 2.54 - 2.3 = 0.24
6 0
2 years ago
Read 2 more answers
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
kykrilka [37]
The answer is B
\frac{5 \sqrt{13} }{13}
3 0
2 years ago
Solve the following quadratic equation 6x^2-5x-4=0
jeka94

Answer:

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

6

2

−

5

−

4

=

0

6x^{2}-5x-4=0

6x2−5x−4=0

=

6

a={\color{#c92786}{6}}

a=6

=

−

5

b={\color{#e8710a}{-5}}

b=−5

=

−

4

c={\color{#129eaf}{-4}}

c=−4

=

−

(

−

5

)

±

(

−

5

)

2

−

4

⋅

6

(

−

4

)

√

2

⋅

6

Step-by-step explanation:

6 0
3 years ago
What is the average rate of change for 5/6 and 15/14
andreev551 [17]

Answer:

Average rate of change is <u>0.80.</u>

Step-by-step explanation:

Given:

The two points given are (5, 6) and (15, 14).

Average rate of change is the ratio of the overall change in 'y' and overall change in 'x'. If the overall change in 'y' is positive with 'x', then average rate of change is also positive and vice-versa.

The average rate of change for two points (x_1,y_1)\ and\ (x_2,y_2) is given as:

R=\frac{y_2-y_1}{x_2-x_1}

Plug in x_1=5,x_2=15,y_1=6,y_2=14 and solve for 'R'. This gives,

R= \frac{14-6}{15-5}\\\\R=\frac{8}{10}\\\\R=0.80

Therefore, the average rate of change for the points (5, 6) and (15, 14) is 0.80.

5 0
3 years ago
Other questions:
  • the flagpole in front of silver pine elementary school is 18.374 feet tall what is 18375 roundef to the nearest tenth
    9·2 answers
  • What is the answer to 3-x/2=6
    12·1 answer
  • What is the order of the set A={-1,20,3,17,5}
    11·1 answer
  • John invested N$ 20 000 on 1/06/2009 at 9% p.a. interest compounded monthly
    14·1 answer
  • Part A: Solve A = (x + 23) for x. (4 points) Part B: Determine the value of x when A = 108. (2 points) Part C: Solve -np - 90 &g
    15·1 answer
  • Which expression is equivalent to 3n + 2(1 - 4n)
    10·1 answer
  • In a school with 2,000 students, 250 are athletes. Of those athletes, 120 lift weights in addition to participating in their pri
    13·1 answer
  • Wat is <br><br> $3.459B<br> 2.443B<br> $55.838B<br> 85.965B <br> in dollars pls
    6·1 answer
  • A rectangle has an area of 48 square feet and a length of 12 feet
    13·1 answer
  • What is the inverse of this function?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!