Ask question

Ask question

All categories

2 years ago

11

Given f(x)=x^3+2x+k. and x+1 is a factor of f(x), then what is the value of k?

1 answer:

Ludmilka [50]2 years ago

4 0

Answer:

k = 3.

Step-by-step explanation:

By the Factor Theorem. if x+a is a factor of f(x) then f(-a) = 0.

Here we use f(-1):

f(-1) = (-1)^3 + 2(-1) + k = 0

-1 - 2 + k = 0

k = 3.

You might be interested in

What is the perimeter of a rectangle with length x+4 and a width of 5x-7

AlladinOne [14]

Answer:

12x-6

Step-by-step explanation:

perimeter= 2l+2w

=2(x+4)+2(5x-7)

=2x+8+10x-14

=12x-6

8 0

2 years ago

Suppose a normal distribution has a mean of 62 and a standard deviation of4. What is the probability that a data value is betwee

saw5 [17]

SOLUTION

From the given data the mean is 62 and standard deviation is 4

It is required to find the probability that a data value is between 57 and 62

That is:

$P(57\lt x\lt65)$

The z scores is calculated using:

$z=\frac{x-\mu}{\sigma}$

Using the x values it follows:

$z=\frac{57-62}{4}=-1.25$

Also,

$z=\frac{65-62}{4}=0.75$

Thus the required probability is:

$P(-1.25The proability is:[tex]P(-1.25This can be expressed as percentage as:[tex]P(-1.25\lt z\lt0.75)=66.8\%$

Therefore the correct option is C

8 0

1 year ago

A sum has five addends. Each addend is a unit fraction. The sum is 1. What are the addends?

Bogdan [553]

I would assume 1/5 is your answer. As 1/5+1/5+1/5+1/5+1/5 = 5/5 which is 1.

4 0

3 years ago

Read 2 more answers

Good answer fast Find the value of y

Radda [10]

Answer: y = 90°

Step-by-step explanation:

55.30786941 = sin-1 (148/180) round to 55.3° angle x

34.69213059 = cos-1 (148/180) . round to 34.7° "angle z" at right

34.7 +55.3 = 90

Sum of All angles of the triangle = 180° 180 -90 = 90

If angle x is 55.7 and angle z is 34.7° Angle y must be 90°

Ratio of inscribed arcs = ratio of chord to diameter

7 0

3 years ago

The length of a rectangular prism is 8

Lena [83]

Surface area is:

$W=width$
$L=length$
$H=height$

$S=2*(L*W+L*H+W*H)$

replacing the values

$250=2*(8*W+8*1+W*1)$

$250=2*(8*W+8+W)$

$250=2*(9*W+8)$

dived each member by 2

$125=9W+8$

$9W=125-8$

$9W=117$

$\boxed{\boxed{W=13~unit~of~measure}}$

The volume of a rectangular prism is

$V=L*H*W$

$V=8*1*13$

$\boxed{\boxed{V=104~unit~of~volume}}$

3 0

3 years ago