All categories

3 years ago

Multiply the polynomials (5x^2+4x-4)(4x^3-2x+6) Explain your steps!!

1 answer:

4 0

So distribute using distributive property
a(b+c)=ab+ac so

split it up
(5x^2+4x-4)(4x^3-2x+6)=(5x^2)(4x^3-2x+6)+(4x)(4x^3-2x+6)+(-4)(4x^3-2x+6)=[(5x^2)(4x^3)+(5x^2)(-2x)+(5x^2)(6)]+[(4x)(4x^3)+(4x)(-2x)+(4x)(6)]+[(-4)(4x^3)+(-4)(-2x)+(-4)(6)]=(20x^5)+(-10x^3)+(30x^2)+(16x^4)+(-8x^2)+(24x)+(-16x^3)+(8x)+(-24)
group like terms
[20x^5]+[16x^4]+[-10x^3-16x^3]+[30x^2-8x^2]+[24x+8x]+[-24]=20x^5+16x^4-26x^3+22x^2+32x-24

the asnwer is 20x^5+16x^4-26x^3+22x^2+32x-24

You might be interested in

A rock falls off a balcony. It’s height(in feet)is given by the formula f(x)= -16t^2+12.5t+150, where t is measured in seconds.

ELEN [110]

Answer: $3.47\ seconds$

Step-by-step explanation:

Given the following function:

$f(x)= -16t^2+12.5t+150$

You need to follow these steps in order to solve the exercise:

1. Substitute $f(x)=0$ :

$0= -16t^2+12.5t+150$

2. Now you need to apply the Quadratic formula. This is:

$x=t=\frac{-b\±\sqrt{b^2-4ac} }{2a}$

In this case, you can identify that:

$a=-16\\b=12.5\\c=150$

Then, you can substitute these values into the formula:

$t=\frac{-12.5\±\sqrt{(12.5)^2-4(-16)(150)}}{2(-16)}$

3. Evaluating, you get:

$t_1=3.47\\\\t_2=-2.69$

4. You must choose the positive value. Then:

$t=3.47\ seconds$

7 0

4 years ago

MATH! PLEASE HELP! I will mark brainlist. Also, there is another option- D. 20

statuscvo [17]

Answer:

a 2

im not 100% sure though

Step-by-step explanation:

5 0

3 years ago

Simplify the exponential expression 48 ^1/2

Ostrovityanka [42]

Step-by-step explanation:

Hi There! Let me help you :)

To answer this question, we have to know about the way to simplify it. First, you find the factor of 48.

$= {48}^{ \frac{1}{2} }$

$= {(16 \times 3)}^{ \frac{1}{2} }$

$= {16}^{ \frac{1}{2} } \times {3}^{ \frac{1}{2} }$

$\:$

—Use the general formula of the exponential, where a^m/n = ^n√a^m.

$\:$

$= {16}^{ \frac{1}{2} } \times {3}^{ \frac{1}{2} }$

$= \sqrt[2]{16} \times {3}^{ \frac{1}{2} }$

$= 4 \times {3}^{ \frac{1}{2} }$

The answer is C.

5 0

2 years ago

Help me with my math

Georgia [21]

Answer:

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the amount invested.

P represents the principal or amount invested.

R represents interest rate

T represents the duration of the investment in years.

From the information given,

P = 10000

R = 4%

In the first year, the simple interest would be

I = (10000 × 4 × 1)/100 = $400

The compound interest in the first year is also $400

In the second year, the simple interest would be

I = (10000 × 4 × 1)/100 = $400

For the compound interest in the second year,

P = 10000 + 400 = $10400

I = (10400 × 4 × 1)/100 = $416

The table would be

Simple interest compound interest

1) 400 400

2). 400 416

Total 800 816

5 0

4 years ago

Find the midpoint of MN. M(-3,8) and N(-7-6)

ohaa [14]

Step-by-step explanation:

use the midpoint formula

-3+-7/2, 8+-6/2

(-5, 1)

3 0

3 years ago