All categories

3 years ago

What is the remainder of (x3 – 6x – 9x + 3) ÷ (x - 3)

2 answers:

6 0

remainder is f(3) 
3^3 - 6*3^2 - 9*3 + 3 
= 27 - 54 - 27 + 3 
= -51

Harlamova29_29 [7]3 years ago

6 0

To do this easily, we will use the Factor and Remainder Theorem. When a polynomial is divided by a binomial, equate the binomial to zero to get the value of x. Then, substitute this x to the polynomial. Whatever the answer is, is the remainder.

x - 3 = 0
x = 3

x^3 - 6x - 9x +3
x^3 -6(3) - 9(3) + 3 = -15

Take its absolute value. The remainder would be 15.

You might be interested in

jenna's rectangular garden borders a wall. she buys 80 ft of fencing. what are the dimensions of the garden that will maximize i

FrozenT [24]

Answer:

The dimensions are x =20 and y=20 of the garden that will maximize its area is 400

Step-by-step explanation:

Step 1:-

let 'x' be the length and the 'y' be the width of the rectangle

given Jenna's buys 80ft of fencing of rectangle so the perimeter of the rectangle is 2(x +y) = 80

x + y =40

y = 40 -x

now the area of the rectangle A = length X width

A = x y

substitute 'y' value in above A = x (40 - x)

A = 40 x - x^2 .....(1)

Step :2

now differentiating equation (1) with respective to 'x'

$\frac{dA}{dx} = 40 -2x$ ........(2)

Find the dimensions

$\frac{dA}{dx} = 0$

40 - 2x =0

40 = 2x

x = 20

and y = 40 - x = 40 -20 =20

The dimensions are x =20 and y=20

length = 20 and breadth = 20

Step 3:-

we have to find maximum area

Again differentiating equation (2) with respective to 'x' we get

$\frac{d^2A}{dx^2} = -2$

Now the maximum area A = x y at x =20 and y=20

A = 20 X 20 = 400

Conclusion:-

The dimensions are x =20 and y=20 of the garden that will maximize its area is 400

verification:-

The perimeter = 2(x +y) =80

2(20 +20) =80

2(40) =80

80 =80

8 0

3 years ago

Suppose you invest $1,600 at an annual interest rate of 4.6% compounded continuously how much will you have in the account after

DanielleElmas [232]

Total = Principal * e^(rate*years)
where "e" is the mathematical constant 2.71828182828459
Total = 1,600 * e(.046*4)
Total = 1,600 * 2.71828182828459^(.184)
Total = 1,600 * 1.2020158231 
Total = 1,923.23 

Source:
http://www.1728.org/rate2.htm

8 0

3 years ago

A store owner purchases thirty 75-watt light bulbs and 40 fluorescent light bulbs for a total cost of $95. A second purchase, at

N76 [4]

Answer: 75-watt are 30$ fluorescent are 30$ in the second and 65$ in the first

Step-by-step explanation: i calculated thirty 75-watt and the fluorescent and got these kinda hard to explain hope i helped:)

7 0

3 years ago

Estimate each product 1/5 x 24

antoniya [11.8K]

Answer:

4.8

Step-by-step explanation:

Um, I'm not sure how to explain, but watch a khan academy video on it

3 0

3 years ago

WILL MARK BRAINLIESTTTTT!!!! PLZ HELP!!!

Tcecarenko [31]

Answer:

seashells / week

Step-by-step explanation:

Your answer is correct, seashells / week.

Units are:

s(t) = seashells / hour

W(h) = hours / week

s(W(h) represents seashells / hour * hours / week,

simplifying, the units are

seashells / week

5 0

3 years ago