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frozen [14]
3 years ago
6

Let f(x) = 5x^3 -2x and g(x) =3x^3. Find f(x) * g(x) & state the domain

Mathematics
1 answer:
Sedbober [7]3 years ago
6 0

Answer:

f(x) × g(x)  = 15x^6 - 6x^4

Step-by-step explanation:

hello :

f(x) = 5x^3 -2x and g(x) =3x^3.

f(x) × g(x)  = 3x^3(5x^3 -2x) = 15x^6 - 6x^4

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B2-4b+4=0 using quadratic forumla
Ivan

Trying to factor by splitting the middle term   

Factoring <span> b2-4b+4</span> 
The first term is, <span> <span>b2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -4b </span> its coefficient is <span> -4 </span>.
The last term, "the constant", is <span> +4 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span>  1 • 4 = 4</span> 

Step-2 : Find two factors of  4  whose sum equals the coefficient of the middle term, which is  <span> -4 </span>.
<span><span>     </span></span>

<span><span>-4   +   -1   =   -5</span><span>     -2   +   -2   =   -4   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  -2 
                     <span>b2 - 2b</span> - 2b - 4

Step-4 : Add up the first 2 terms, pulling out like factors :
                    b • (b-2)
              Add up the last 2 terms, pulling out common factors :
                    2 • (b-2)
Step-5 : Add up the four terms of step 4 :
                    (b-2)  •  (b-2)
             Which is the desired factorization

8 0
3 years ago
Read 2 more answers
The center of a circle is at the origin on a coordinate grid. A line with a positive slope intersects the circle at (0, 7). Whic
denis23 [38]

The true statement is the circle has the radius equal to 7.

<h3>What is Equation of circle?</h3>

The general equation for a circle is (x-h)² + (y-k)² = r², where ( h, k ) is the center and r is the radius.

As, standard form of equation of circle is

(x-h)² + (y-k)² = r²

At origin, equation of circle will be

(0-h)² + (0-k)² = r²

r² = x² + y²

Now, The line intersects the circle at (0,7)

r² = 0² + 7²

r² =49

r=7.

Hence, the circle has the radius equal to 7.

Learn more about this concept here:

brainly.com/question/11702700

#SPJ1

3 0
2 years ago
Which pair of numbers is opposite? Select all that apply. A. |–6| and –6 B. |–6| and 6 C. 6 and 16 D. 6 and –6 E. 0 and 6
wolverine [178]

Answer:

B and D

Step-by-step explanation:

the opposite of -6 is positive 6

3 0
3 years ago
I will give brainliest!!!!!!!!!!!!!<br> please answer all the questions and no links! :)
Scilla [17]

Answer:

1. a

2. b (i think)

3. b

4. a

5. d

im not sure bout all this but h ope it helps you

3 0
3 years ago
G(t)=t squared - 2; Find g(9)
GaryK [48]

Answer:

79

Step-by-step explanation:

So we have the function:

g(t)=t^2-2

To find g(9), substitute 9 for t. Thus:

g(9)=9^2-2

Square:

g(9)=81-2

Subtract:

g(9)=79

So, our answer is 79.

And we're done!

4 0
3 years ago
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