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Gwar [14]
3 years ago
7

What's the GCF of 20, 28, 24

Mathematics
2 answers:
zimovet [89]3 years ago
8 0
The answer would be 4
Pie3 years ago
7 0
The greatest common factor is 4

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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
Help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!
SVEN [57.7K]
82.2

Add all of them up and then divide by 10.
5 0
3 years ago
Read 2 more answers
Worth 20 points
sladkih [1.3K]
D(X+2)(2X+1) This is your answer. 

3 0
3 years ago
Clark's weight is increasing these days if it's weight increases by 2 kg mg every 4 months how many kilograms of weight will he
ycow [4]

Answer:

8kg

Step-by-step explanation:

4m=2kg

16m=?

=16m×2

=32

=32÷4

=8kg

Hope this will help ya!

6 0
3 years ago
A plane flies x mph. How far can it go in y hours?
wel
The answer is xy hours.
8 0
3 years ago
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