pleaseeeehelppppppppp

Given:

[tex]f(x)=x^3+4x^2+5x+2,k=-2[/tex]

To find:

The the given function in the form [tex]f(x)=(x-k)q(x)+r[/tex].

Solution:

We have,

[tex]f(x)=x^3+4x^2+5x+2[/tex]

The coefficients of f(x) are 1, 4, 5, 2.

Divide the given function by (x+2) by using synthetic division as shown below:

-2 | 1        4           5         2

              -2         -4        -2

_____________________

      1        2          1           0

_____________________

Bottom row represent the quotient and last element of the bottom row is the remainder.

Degree of the function is 3 and the degree of division is 1. So, the degree of the quotient is 3-1 = 2.

So, the quotient is [tex]x^2+2x+1[/tex] and the remainder is 0.

Now,

[tex]f(x)=(x-k)q(x)+r[/tex]

Here, q(x) is the quotient and r is the remainder.

[tex]f(x)=(x-k)(x^2+2x+1)+0[/tex]

Therefore, the required answer is [tex]f(x)=(x-k)(x^2+2x+1)+0[/tex].

Answer:

DE≈16.1

m<E≈60.3

m<D≈29.7

Step-by-step explanation:

Hi there!

[tex]\boxed{-\frac{4x}{3}sin(2-3x) + \frac{4}{9}cos(2-3x) + C}[/tex]

To find the indefinite integral, we must integrate by parts.

Let "u" be the expression most easily differentiated, and "dv" the remaining expression. Take the derivative of "u" and the integral of "dv":

u = 4x

du = 4

dv = cos(2 - 3x)

v = 1/3sin(2 - 3x)

Write into the format:

∫udv = uv - ∫vdu

Thus, utilize the solved for expressions above:

4x · (-1/3sin(2 - 3x)) -∫ 4(1/3sin(2 - 3x))dx

Simplify:

-4x/3 sin(2 - 3x) - ∫ 4/3sin(2 - 3x)dx

Integrate the integral:

∫4/3(sin(2 - 3x)dx

u = 2 - 3x

du = -3dx ⇒ -1/3du = dx

-1/3∫ 4/3(sin(2 - 3x)dx ⇒ -4/9cos(2 - 3x) + C

Combine:

[tex]-\frac{4x}{3}sin(2-3x) + \frac{4}{9}cos(2-3x) + C[/tex]

Answer:

this is your answer look it once

9514 1404 393

Answer:

  24, 28

Step-by-step explanation:

Multiples of 4 between 20 and 30 are ...

  24 = 6·4

  28 = 7·4

There could be 24 or 28 cubes in bag B.

Answer:

5

Step-by-step explanation:

We start by seeing how many families we have in total, which is 20. We then must subtract the number of families with girls only, the number of families with both boys and girls, and the number of families with no children. 20 - 7 is 13, then 13 - 8 is 5, and 5 - 0 is 5.

Answer:

[tex]6((4 {x}^{3} - 5x + 1) ^{ - 4} + 4 {x}^{10} + 4) ^{5} \times (- 4(4x ^{3} - 5x + 1)^{ - 5} \times 12 {x}^{2} - 5 ) + 40 {x}^{9} [/tex]

Answer:

Step 1: Find out what 10 to the 5th power is equal to. it = 100,000

Step 2: Multiply 100,000 by 10

Step 3: your answer = 1,000,000

Answer:

-35

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3/4 divided by 1/4 equals 3

Answer:

3

Step-by-step explanation:

3/4 is currently left

Subtract 1/4 by 3/4 until nothing is left

The number you get is 3 therefore the answer is 3

Step-by-step explanation:

• Question 1 :-

[tex]\tt\to \dfrac{1}{3}+? = 1 \\\\\tt\to ? = 1-\dfrac{1}{3}\\\\\tt\to ?=\dfrac{3-1}{3} \\\\\tt\to \boxed{\orange{ ? = \dfrac{2}{3}}}[/tex]

_________________________________

• Question 2 :-

[tex]\tt\to \dfrac{3}{5}+? = 1 \\\\\tt\to ? = 1-\dfrac{3}{5}\\\\\tt\to ?=\dfrac{5-3}{5} \\\\\tt\to \boxed{\orange{ ? = \dfrac{2}{5}}}[/tex]

Answer:

There is a zero percent that you will roll a number less than one but a 100% chance of rolling a number less than 7.

Step-by-step explanation:

Answer:

it Is a variable..............

Answer:8

Step-by-step explanation:

Answer:

Sean is 1.15m

Step-by-step explanation:

35cm = 0.35m

Lisa is 1.5m tall and Sean is 0.35m shorter

1.5m - 0.35m = 1.15m

Sean is 1.15m

check the photos they have the answer

Answer:

1)The sample mean is the point estimate for the starting salary of the graduates which is $32,000

2) at 95%, confidence interval for the average salary of all graduates is  ( 31525.13, 32474.87 )

3) Margin of Error E = 474.87

4) at 99%, confidence interval  is ( 31328.54, 32671.46 ).

5) the probability of error will be affected  

Step-by-step explanation:

Given the data in the question;

1) the point estimate for the starting salary of the graduates?

The sample mean is the point estimate for the starting salary of the graduates which is $32,000

2) the 95% confidence interval for the average salary of all graduates?

given that;

mean x' = $32,000

standard deviation σ = $5000

sample size n = 300

∝ = 1 - 95% = 1 - 0.95 = 0.05

∝/2 = 0.05/2 = 0.025  

Z Critical value [tex]Z_{\alpha /2[/tex] = 1.6449 ≈ 1.645

so, 95% confidence interval for the average salary of all graduates will be;

⇒ x' ± Margin of Error

Margin of E =  [tex]Z_{\alpha /2[/tex] ( σ/√n )

we substitute

E =  1.645( 5000/√300 )

E = 1.645( 288.675 )

E = 474.87

so

x' ± Margin of Error

32000 ± 474.87

⇒ 32,000 - 474.87, 32,000 + 474.87

⇒ ( 31525.13, 32474.87 )

Therefore, 95% confidence interval for the average salary of all graduates is  ( 31525.13, 32474.87 )

3) the value of the Maximum Tolerable Error for the above confidence interval?

This is simply the Margin of Error,

Margin of Error E = 474.87

4)

If the level of confidence changes to 99%, and all other variables remain unchanged, what will happen to the confidence interval?

at 99% confidence level;

∝ = 1 - 99% = 1 - 0.99 = 0.01

∝/2 = 0.005

[tex]Z_{\alpha /2[/tex] = 2.326

∴ confidence interval will be;

⇒ 32000 ± [tex]Z_{\alpha /2[/tex] ( σ/√n )

we substitute

⇒ 32000 ± 2.326( 5000/√300 )

⇒ 32000 ± 2.326( 288.675 )

⇒ 32000 ± 671.458

⇒ 32000 - 671.458, 32000 + 671.458

⇒ ( 31328.54, 32671.46 )

Therefore, at 99%, confidence interval  is ( 31328.54, 32671.46 ).

5)  If the number of graduates returning the survey changes from 300 to 700 and all other variables remaining unchanged, the probability of error will be affected  

Answer:

6n

Step-by-step explanation:

6n = 6*n not 6+n

Leave a like and mark brainliest if this helped!

writing sentence as an inequality

how to write

a.)  " A number n is less than or equal to -7 or greater than 12" as an inequality

b.) " A number p is less than 6 and greater than 2

Answer:

its 8 i belive

Step-by-step explanation:

Answer:

29.2 and 60.8  

Step-by-step explanation:

x° + x° + 31.6° = 90°

2x + 31.6 = 90

2x = 58.4

x° = 29.2°

90° - 29.2° = 60.8°

29.2 and 60.8

Answer:

french

Step-by-step explanation:

french

Answer:

D

Step-by-step explanation:

The thesis statement is unclear.

Used process of elimination and this introduction paragraph did not have a clear paragraph. Got it correct.

Answer:

I think the answer of this question is,

Step-by-step explanation:

The 20th term may be 1048576

Answer:

1. The greatest common monomial factor is xy

2. xy(6 + 2y² + 3x²)

Step-by-step explanation:

6xy + 2xy³+ 3x³y

1. Determination of the greatest common monomial (GCM) factor.

6xy + 2xy³+ 3x³y

6xy => 2 × 3 × x × y

2xy³ = 2 × x × y × y × y

3x³y = 3 × x × x × x × y

GCM => xy

2. Rewrite the expression

6xy + 2xy³+ 3x³y

GCM => xy

6xy + 2xy³+ 3x³y = xy(6 + 2y² + 3x²)

The standard deviation of the possible outcomes of the binomial trial, given the success rate and the number of trials is 10.

The standard deviation measures the spread or dispersion of the possible outcomes around the mean and a higher standard deviation means that the possible outcomes are more spread out, while a lower standard deviation means that the possible outcomes are more closely clustered around the mean.

To find the standard deviation of this binomial distribution, first find the variance by the formula:
= Number of trials x probability of success x ( 1 - probability of success )

= ( 500 x 0. 2 x ( 1 - 0. 2))

= 100

Then, the standard deviation would be:

= √(Variance )

= √(100)

= 10

Find out more on standard deviation at https://brainly.com/question/17108678

#SPJ1

Answer:

How many salamanders are there

or does it say that there are "a salamanders"

If so, it's 184/a

Answer:

9:50 A.M.!

Step-by-step explanation:

7 HRS +2 HRS = 9 HRS

30 MINS + 20 MINS = 50 MINS

Answer: There is a difference between rote counting and rational counting. Rote counting involves the memorization of numbers. Rational counting tells children "how many there are." For children to count rationally, they need to demonstrate one-to-one correspondence.

Answer:

12

Step-by-step explanation: