Can someone give me the answers please?

Which shows one way to determine the factors of x3 11x2 – 3x – 33 by grouping? x2(x 11) 3(x – 11) x2(x – 11) – 3(x – 11) x2(x 11

Aloiza [94]

The one way to determine factors of x³ + 11x² – 3x – 33 will be $x^2(x+11)-3(x+11)_$ .

<h3>What is a factorization?</h3>

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The steps involved in the factorization are;

1. For each pair of parentheses, we create a common factor.

2. We use x2 as a common factor for the first parenthesis.

3. We use common factor 3 for the second parenthesis.

$x^3 + 11x^2 - 3x -33 \\\\ x^2(x+11)-3(x+11)_$

We will find the final solution as $x^2(x+11)-3(x+11)_$ .

Hence the one way to determine factors of x³ + 11x² – 3x – 33 will be $x^2(x+11)-3(x+11)_$ .

To learn more about the factorization refer to the link;

brainly.com/question/24182713

3 0

2 years ago

The equation d=11cos(8pi/5 t) models the horizontal distance, d, in inches of the pendulum of a grandfather clock from the cente

charle [14.2K]

Answer:

The time it takes for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.

Step-by-step explanation:

Given the equation

$d = 11cos( \frac{8\pi}{5}*t)$ -----------Equation 1

where d, in inches of the pendulum of a grandfather clock from the center.

Comparing with the standard equation of an oscillating pendulum bob.

$d = Acos (wt + \alpha )$ ----------Equation 2

where ω = angular velocity

t = time taken

α = The angular displacement when t = 0

Comparing equation 1 and 2,

α = 0

$w =\frac{8\pi }{5}$

Recall that $w = 2\pi fTherefore,[tex]2\pi f = \frac{8\pi }{5} \\\\f = \frac{4}{5}$ [/tex]

f = 0.8 Hertz

Recall that $f = \frac{1}{T}$

$T = \frac{1}{0.8}$

T = 1.25 seconds

Therefore, the time it takes for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.

5 0

3 years ago

Read 2 more answers

Need ANSWER ASAPpppp

Tatiana [17]

The second to last statement: he needed to divide both sides of the equation by 5

Since we want to isolate a, which is multiplied to 5, we want to do the opposite which is divide by 5.

4 0

3 years ago

Read 2 more answers

use the method of successive differences to determine the next number in the given sequence 4; 32; 160; 798; 2706; 7164; 16,142

OlgaM077 [116]

Answer:

32470

Step-by-step explanation:

4; 32; 160; 798; 2706; 716

28;128;638;1908;4458

100;510;1270;2550

410;760;1280

350;520

170

7th: 170+520+1280+2550+4458+7164=16142

4; 32; 160; 798; 2706; 7164;16142

28;128;638;1908;4458;8978

100;510;1270;2550;4520

410;760;1280;1970

350;520;690

170;170

8th: 170+690+1970+4520+8978+16142=32470

4 0

3 years ago

A stack of books is 24 inches high.

JulsSmile [24]

Answer:

32

Step-by-step explanation:

Let's say n such books make up the stack.

If each book is 3/4 inch thick, it contributes 3/4 to the total height of the stack – 24 inches.

==> number of books × 3/4 = 24

(to get this result add the heights of n such book, and equate it to 24. You'll get something like:

3/4 + 3/4 +. . . . n times = 24

And that's what's meant by 3/4 × n = 24)

==> n × 3/4 = 24

multiply both sides by 4

==> n × 3 = 24 × 4

divide both sides by 3

==> n = (24 × 4)/3

==> n = 8 × 4

==> n = 32

We assumed the number of books to be n.

so the answer is:

32 books, each if height 3/4 inch, are required to build a stack 24 inches high.

4 0

3 years ago