All categories

3 years ago

Multiple binomials by polynomials problem (2+3w)(w^2+6w+9)

Mathematics

1 answer:

muminat3 years ago

5 0

Answer:

3w³ + 20w² + 39w + 18

Step-by-step explanation:

It is given that,

(2 + 3w)(w² + 6w + 9)

<u>To find the multiplication</u>

(2 + 3w)(w² + 6w + 9) = 2 * w² + 2 * 6w + 2* 9 + 3w * w² +3w * 6w + 3w* 9

= 2w² + 12w + 18 + 3w³ + 18w² + 27w

= 3w³ + 20w² + 39w + 18

Therefore the final value = 3w³ + 20w² + 39w + 18

You might be interested in

An airliner maintaining a constant elevation of 2 miles passes over an airport at noon traveling 500 mi/hr due west. At 1:00 PM,

butalik [34]

Answer:

$\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}$

Step-by-step explanation:

Let suppose that airliners travel at constant speed. The equations for travelled distance of each airplane with respect to origin are respectively:

First airplane

$r_{A} = 500\,\frac{mi}{h}\cdot t\\r_{B} = 550\,\frac{mi}{h}\cdot t$

Where t is the time measured in hours.

Since north and west are perpendicular to each other, the staight distance between airliners can modelled by means of the Pythagorean Theorem:

$s=\sqrt{r_{A}^{2}+r_{B}^{2}}$

Rate of change of such distance can be found by the deriving the expression in terms of time:

$\frac{ds}{dt}=\frac{r_{A}\cdot \frac{dr_{A}}{dt}+r_{B}\cdot \frac{dr_{B}}{dt}}{\sqrt{r_{A}^{2}+r_{B}^{2}} }$

Where $\frac{dr_{A}}{dt} = 500\,\frac{mi}{h}$ and $\frac{dr_{B}}{dt} = 550\,\frac{mi}{h}$ , respectively. Distances of each airliner at 2:30 PM are:

$r_{A}= (500\,\frac{mi}{h})\cdot (1.5\,h)\\r_{A} = 750\,mi$

$r_{B}=(550\,\frac{mi}{h} )\cdot (1.5\,h)\\r_{B} = 825\,mi$

The rate of change is:

$\frac{ds}{dt}=\frac{(750\,mi)\cdot (500\,\frac{mi}{h} )+(825\,mi)\cdot(550\,\frac{mi}{h})}{\sqrt{(750\,mi)^{2}+(825\,mi)^{2}} }$

$\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}$

6 0

3 years ago

Without multiplying determine the sign of the product (-468,256)(183,758).

maxonik [38]

Answer:

negative

Step-by-step explanation:

rules:

+ + = +

- - = +

+ - = -

- + = - ----> (-468,256)(183,758)

3 0

2 years ago

Ken makes a salad for 20 people. The salad dressing contains olive oil and 1/8 cup lemon juice per person. If there are 3 and 3/

sineoko [7]

I have no clue what the answer is to this

3 0

3 years ago

PLZ PLZ PLZ HELP ME!!! AND QUICKLY TOO!!! (15 POINTS)

Orlov [11]

The answer would be:

A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin

See attached picture:

8 0

3 years ago

Standard form of -2x^2+8x+5

Ksivusya [100]

-2x^2+8x+5 is the standard form

5 0

3 years ago