1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
madam [21]
1 year ago
15

4. Multiply the two polynomials using the destructive property.5. Are the two products the same when you multiply them horizonta

lly?4. A)

Mathematics
1 answer:
nikklg [1K]1 year ago
6 0

Given:

(4x^2-4x)(x^2-4)

To multiply the two polynomials using the distributive property, we first follow the rule shown below:

For: (a+b)(c+d)=a(c+d)+b(c+d)=ac+ad+bc+bd

We let:

\begin{gathered} a=4x^2 \\ b=-4x \\ c=x^2 \\ d=-4 \end{gathered}

Now, we plug in what we know:

\begin{gathered} (4x^{2}-4x)(x^{2}-4) \\ =(4x^2)(x^2)+(4x^2)(-4)+(-4x)(x^2)+(-4x)(-4) \\ Simplify\text{ and rearrange} \\ =4x^4-16x^2-4x^3+16x \\ =4x^4-4x^3-16x^2+16x \end{gathered}

Therefore, the answer is:

=4x^4-4x^3-16x^2+16x

You might be interested in
Kendle wants to play several games of laser tag. She has $35 to play g games. Each
kotykmax [81]

Answer:

C

Step-by-step explanation:

Kendle has $35 to play g amount of games. Each game cost $5, which means she can play 7 games. This can be found by 35/5.

3 0
2 years ago
Please help me It's math I will give you extra points.
pentagon [3]
It’s the one you are on
5 0
2 years ago
In a candy mix there are 4 green bars for every 3 red bars. How many red bars are there if there are 200 green bars
erastovalidia [21]

Answer:

Since there are 4 green bars for every 3 red bars and we are trying to find the number of red bars if there are 200 green bars, we can create the ratio:

4 x : 3 y

Where  x  is equal to the number of green bars and  y is the number of red bars.

We know the number of green bars is equal to 200, so we can divide it by 4, giving us:

200 /4=50

Then we can solve for  y , the number of red bars.

// Multiple y  by 50

3 ⋅ 50 = 150

So for every 4 green bars, there are 3 red bars.

For every 200 green bars, there are 150 red bars

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which equation represents the circle described? (in picture)
Sedaia [141]
You are right. In circle equation we have =r² so the correct answer will be C od D.  But we have to calculate the center of a circle.

x^2+y^2-8x-6y+24=0\quad|-24\\\\(x^2-8x)+(y^2-6y)=-24

Complete the square:

x^2-8x+a^2\implies a=\dfrac{8x}{2x}=4\implies x^2-8x+4^2\\\\\\y^2-6y+b^2\implies b=\dfrac{6y}{2y}=3\implies y^2-6y+3^2

And we have:

(x^2-8x)+(y^2-6y)=-24\\\\(x^2-8x+4^2)-4^2+(y^2-6y+3^2)-3^2=-24\\\\
(x-4)^2+(y-3)^2-16-9=-24\\\\(x-4)^2+(y-3)^2-25=-24\quad|+25\\\\\boxed{(x-4)^2+(y-3)^2=1}

So the answer is C (the same left side of equation).
6 0
3 years ago
Who could help me please and thank you
kondor19780726 [428]

Answer:

"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"

Step-by-step explanation:

We have the expression:

-\frac{x^3}{6} - 10 + x

First, what does that expression represents?

As al the powers of x are positive numbers, we can see that this is a polynomial, and the largest power is 3, so this is a polynomial of degree 3, also called a cubic polynomial.

How many terms are there?

The terms are the things separated by + or - symbols, is easy to see that there are 3 terms.

What is the constant term?

The constant term is the term where the variable, x, does not appear, here the constant term is: -10

What is the leading coefficient?

The leading coefficient is the coefficient that multiplies the term with the largest power of x, in this case, we can rewrite:

-\frac{x^3}{6}  -10 + x = (\frac{-1}{6})*x^3 - 10 + x

the leading coefficient is:

(-1/6)

There is a part of the statement that I can't read, i suppose that there says:

"leading degree"

this is just the largest power of x that appears in the polynomial, in this case, is 3.

Then the complete statement is:

"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"

5 0
3 years ago
Other questions:
  • Mathematics help please!!!!!!!!!<br><br> what is -0.0833333333333 converted into a fraction?
    6·1 answer
  • Which of these professionals most directly uses geometry?
    8·1 answer
  • What is the diameter of a cone with height 8 m and volume 150xm3?
    6·2 answers
  • Pls help ASAP
    11·2 answers
  • Can someone help prove if triangle MNP is an equilateral
    12·2 answers
  • How do you solve a 1 variable equation
    5·1 answer
  • A triangle in the coordinate plane has the following vertices: P(-4,-3), 1(-2,-2), G(-2,-4). What are the new coordinates if the
    13·1 answer
  • The scatterplot shows the time it takes for a new hot plate to boil various amounts of water, and one lab group’s attempt at a l
    12·2 answers
  • maggie wants to save at least $16 a week from her paycheck which inequality can be used to show how many weeks until she has sav
    13·1 answer
  • Can somebody tell me the answer to this ?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!