All categories

3 years ago

What is the correct expansion of (3x-2)(2x^2+5)

2 answers:

7 0

Foil or whatever
just multiply

remember
(a-b)(c+d)=ac-bc+ad-bd
and
$(ax^m)(bx^n)=(a)(x^m)(b)(x^n)=abx^{m+n}$

so

(3x-2)(2x²+5)=
(3x)(2x²)+(-2)(2x²)+(3x)(5)+(-2)(5)=
6x³-4x²+15x-10

wolverine [178]3 years ago

6 0

3x*2x^2=6x^3
3x*5=15x
-2*2x^2=-4x^2
-2*5=-10
6x^3+15x-4x^2-10=
6x^3-4x^2+15x-10

You might be interested in

The altitude of the base of a cloud

natima [27]

The height of the ceiling is 162.31 meters

The situation will form a right angle triangle.

<h3>Right angle triangle:</h3>

Right triangle has one of its angles as 90 degree. Therefore, the sides can be found using trigonometric ratios

The triangle formed, the theodolite distance from the spotlight is the adjacent side. Therefore,

tan 62.7 = opposite / adjacent

tan 62.7 = x / 83

cross multiply

x = 83 × tan 62.7

x = 160.809554025 m

Therefore, the height of the ceiling form the ground is as follows:

160.809554025 + 1.5 = 162.309554025 m

learn more on right angle triangle here; brainly.com/question/13481976

7 0

3 years ago

identify the amplitude and period of the function then graph the function and describe the graph of G as a transformation of the

mrs_skeptik [129]

Given the function:

$g(x)=cos4x$

Let's find the amplitude and period of the function.

Apply the general cosine function:

$f(x)=Acos(bx+c)+d$

Where A is the amplitude.

Comparing both functions, we have:

A = 1

b = 4

Hence, we have:

Amplitude, A = 1

To find the period, we have:

$\frac{2\pi}{b}=\frac{2\pi}{4}=\frac{\pi}{2}$

Therefore, the period is = π/2

The graph of the function is shown below:

The parent function of the given function is:

$f(x)=cosx$

Let's describe the transformation..

Apply the transformation rules for function.

We have:

The transformation that occured from f(x) = cosx to g(x) = cos4x using the rules of transformation can be said to be a horizontal compression.

ANSWER:

Amplitude = 1

Period = π/2

Transformation = horizontal compression.