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stich3 [128]
3 years ago
13

What is the product of (2x+3) and (4x^2-6x+9)?​

Mathematics
1 answer:
gogolik [260]3 years ago
4 0

Answer:

=8x^3+27

Step-by-step explanation:

First you are going to multply 2x by all of the other numbers in the 2nd parentheses, then do the same with 3. By doing this you should get and answer then combine like terms.

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Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the end behavior.
jenyasd209 [6]
The function is f(x)=x^3-11x^2+36x-36.

To find the x-intercepts, we need to factorize the function. A very good idea is to first try the factors of 36:

f(1)=1-11+36-36, not 0

f(2)=8-44+72-36=-36+72-36=0. Here we have our first root (2).

Now we cad divide f(x) by (x-2) which will give us a quadratic expression, which we can factorize easily (if the discriminant is non negative).

We can also try some other factors of 36. Indeed we can check that 

f(3)=27-99+108-36=135-135=0, 
and
f(6)=216-396+216-36=0.

Thus, f(x)=(x-2)(x-3)(x-6). Note that if we expanded the right hand side expression, the constant term would be the product of the constants 2, 3, 6.

This is the reason why in the first place we looked at the factors of 36 for the possible zeros of f(x).


Thus, the x-intercepts are (2, 0), (3, 0), (6, 0), or 2, 3, 6. 

The y-intercept is f(0), which is -36.


Note that f(0)<f(2) because f(0)=-36 and f(2)=0. This means that at the left side, the graph is coming from - infinity. Similarly, 

we can check that f(10)=1000-1100+360-36=224> f(6). That is, to the right of our rightmost root, the graph is getting larger.

Thus, the end behaviors are: the graph goes to + infinity as x goes to + infinity, 

and it goes to minus infinity as x goes to - infinity.
7 0
3 years ago
A. Solve -4x - 4 = 4. Show your work. <br> B. Verify your solution.
Yuliya22 [10]

Answer:

-4x=4+4

x=8/-4

x= -2

not sure how I'm supposed to verify

4 0
2 years ago
What's the solution please its urgent<br> -7w+8(w+1)=w-7
Dahasolnce [82]
Uhm i don't understand ;(!!
4 0
3 years ago
What is the volume of a rectangle prism that is 1 1/2 inches by 2 1/4 inches by 4 inches?
Reptile [31]

Answer:

13.5 inches

Step-by-step explanation:

11.5 x 2.25 x 4

I could be wrong

7 0
2 years ago
Read 2 more answers
Scafell pike is 979m high.
Ahat [919]
The difference is 365
3 0
2 years ago
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