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
saul85 [17]
2 years ago
13

Given f(x) = 3x^3+ kx – 11, and x – 1 is a factor of f(x), then what is the value of k?

Mathematics
1 answer:
STatiana [176]2 years ago
7 0

let's recall the remainder theorem.

we know that (x-1) is a factor, that means x -1 = 0 or x = 1.

since we know that (x-1) is a factor, then dividing the polynomial by it will give us a remainder of 0, which correlates with saying that f(1) = 0, in this case, so we can simply plug in "1" as the argument, knowing it gives 0.

f(x)=3x^3+kx-11\\\\[-0.35em]~\dotfill\\\\\stackrel{0}{f(1)}=3(1)^3+k(1)-11\implies \stackrel{f(1)}{0}=3+k-11\implies 0=-8+k\implies 8=k

You might be interested in
Solve for x on the interval [0, 2pi]<br> Sinx = cosx + 1
lisov135 [29]

Answer:

π

Step-by-step explanation:

Solve for x on the interval [0, 2pi]

Given the equation

Sinx = cosx + 1

Square both sides of the equation

Sin²x = (cos x + 1)²

Sin²x = cos²x + 2cos x + 1

Since Sin²x = 1 - cos²x

1 - cos²x = cos²x + 2cos x + 1

Collect like terms

1-1-cos²x-cos²x-2cos x  = 0

-2cos²x-2cos x = 0

-2cos²x = 2cos x

-cosx = 1

cos x = -1

x = arccos -1

x = 180 degrees

<em>Hence the value of x = π</em>

8 0
2 years ago
Jaclyn estimates that the square root of 50 in the following way: √50 = 2√25 = 2*5 = 10
Harman [31]

Answer:

Jacklyn is wrong because

\sqrt{50}   \ne2 \sqrt{25 }

Step-by-step explanation:

We have that :Jaclyn estimates that the square root of 50 in the following way:

\sqrt{50}  = 2 \sqrt{25}

\sqrt{50}  = 2 \times 5

\sqrt{50}  = 10

Jacklyn is wrong because she made an error at

\sqrt{50}  = 2  \sqrt{25}

The correct expression is

\sqrt{50}  = \sqrt{2 \times 25}

This gives:

\sqrt{50}  = \sqrt{ 25}  \times  \sqrt{2}

\sqrt{50}  =5 \sqrt{2}

8 0
3 years ago
Use the following information to answer the next two questions
charle [14.2K]
To get the exponential model we use the form:
y=abˣ
where:
a=initial value
b=growth factor
y=number of years
thus using point (1,63) and (2,226)
the growth factor will be:
b=(226/63)=3.587~3.6
a=63
thus the formula for the function will be:
A(y)=a(3.6)^y
substituting (1,63) in the equation and solving for a.
63=a(3.6)^1
thus
a=63/3.6=17.5
hence the formula will be:
A(y)=17.82(3.6)^y

Answer: D] 17.5(3.6)^y

2] The number of acres defoliated after 5 years will be as follows:
y=5 years
A(y)=17.82(3.6)^y
plugging in the value we get:
A(y)=17.82(3.6)^5
simplifying the above
A(y)=10775.07
A(y)=10775

Answer: D
4 0
3 years ago
The range of a graph is associated with what?
Nady [450]
The range of a graph is associated with the y axis
6 0
3 years ago
Read 2 more answers
I'll give brainliest to whoever answers the question correctly!!!!
Leno4ka [110]

Answer:

I think 6 units or 10.7

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • How do i do this im confused
    6·2 answers
  • Rodell wants to find the favorite gaming app among the students at his school. He decides to poll the thirty students
    5·1 answer
  • In the sequence below, a, = 9. Which of the following would be the correct way to label the 3 in the
    14·1 answer
  • Which method transfers heat from the Sun to the ocean? Which method spreads heat in the ocean? Which method transfers heat from
    10·1 answer
  • Need assistance explain please
    12·1 answer
  • 39.98× 0.5 is approximately equal to
    9·1 answer
  • Hey somebody please help me with this
    7·1 answer
  • 2 4/10 + 3 5/8 = what does it equal
    7·2 answers
  • NEED HELP RN!!! PLS ☹️
    7·1 answer
  • Find k. Write your answer in simplest radical form.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!